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Igor Dmitrievich Ado
Igor Dmitrievich Ado (Russian: Игорь Дмитриевич Адо, scientific transliteration ''Igor' Dmitrievič Ado''; January 17, 1910 in KazanJune 30, 1983) was a Soviet mathematician. He was born into the family of a state employee and he lived in Kazan till the end of his life. After leaving school Igor Ado entered the faculty of mathematics and physics at Kazan State University, named after V. I. Lenin, from which he graduated successfully in 1931. He was admitted to the PhD study at the Chair of Mathematics (since 1934 – Chair of Algebra) under the supervision of Nikolai Chebotaryov. Igor Ado finished successfully his PhD study by preparing a scientific qualifying work for the degree of a Candidate (PhD) of physical and mathematical sciences. The University board awarded him for this work the degree of Doctor nauk (doctor of sciences) of physic-mathematical sciences. This is an analogue to the European Habilitation and is very unusual to receive for a PhD work. Ig ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Russian Language
Russian (russian: русский язык, russkij jazyk, link=no, ) is an East Slavic languages, East Slavic language mainly spoken in Russia. It is the First language, native language of the Russians, and belongs to the Indo-European languages, Indo-European language family. It is one of four living East Slavic languages, and is also a part of the larger Balto-Slavic languages. Besides Russia itself, Russian is an official language in Belarus, Kazakhstan, and Kyrgyzstan, and is used widely as a lingua franca throughout Ukraine, the Caucasus, Central Asia, and to some extent in the Baltic states. It was the De facto#National languages, ''de facto'' language of the former Soviet Union,1977 Soviet Constitution, Constitution and Fundamental Law of the Union of Soviet Socialist Republics, 1977: Section II, Chapter 6, Article 36 and continues to be used in public life with varying proficiency in all of the post-Soviet states. Russian has over 258 million total speakers worldwide. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Transliteration
Transliteration is a type of conversion of a text from one writing system, script to another that involves swapping Letter (alphabet), letters (thus ''wikt:trans-#Prefix, trans-'' + ''wikt:littera#Latin, liter-'') in predictable ways, such as Greek → , Cyrillic → , Greek → the digraph , Armenian → or Latin → . For instance, for the Greek language, Modern Greek term "", which is usually Translation, translated as "Greece, Hellenic Republic", the usual transliteration to Latin script is , and the name for Russia in Cyrillic script, "", is Scientific transliteration of Cyrillic, usually transliterated as . Transliteration is not primarily concerned with representing the Phonetics, sounds of the original but rather with representing the characters, ideally accurately and unambiguously. Thus, in the Greek above example, is transliterated though it is pronounced , is transliterated though pronounced , and is transliterated , though it is pronounced (exactly li ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kazan
Kazan ( ; rus, Казань, p=kɐˈzanʲ; tt-Cyrl, Казан, ''Qazan'', IPA: ɑzan is the capital and largest city of the Republic of Tatarstan in Russia. The city lies at the confluence of the Volga and the Kazanka rivers, covering an area of , with a population of over 1.2 million residents, up to roughly 1.6 million residents in the urban agglomeration. Kazan is the fifth-largest city in Russia, and the most populous city on the Volga, as well as the Volga Federal District. Kazan became the capital of the Khanate of Kazan and was conquered by Ivan the Terrible in the 16th century, becoming a part of Russia. The city was seized and largely destroyed during Pugachev's Rebellion of 1773–1775, but was later rebuilt during the reign of Catherine the Great. In the following centuries, Kazan grew to become a major industrial, cultural and religious centre of Russia. In 1920, after the Russian SFSR became a part of the Soviet Union, Kazan became the capital of the Tat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kazan State University
Kazan (Volga region) Federal University (russian: Казанский (Приволжский) федеральный университет, tt-Cyrl, Казан (Идел буе) федераль университеты) is a public research university located in Kazan, Russia. Founded in 1804 as Imperial Kazan University, astronomer Nikolai Ivanovich Lobachevsky served there as the rector from 1837 until 1876. In 1929, the university was renamed in honour of its student Vladimir Ilyich Ulyanov (Lenin). The university is known as the birthplace of organic chemistry due to works by Aleksandr Butlerov, Vladimir Markovnikov, Aleksandr Arbuzov, and the birthplace of electron spin resonance discovered by Evgeny Zavoisky. In 2011, Kazan University received a federal status. It is also one of 18 Russian universities that were initially selected to participate in the Project 5-100, coordinated by the Government of the Russian Federation and aimed to improve their international competit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nikolai Chebotaryov
Nikolai Grigorievich Chebotaryov (often spelled Chebotarov or Chebotarev, uk, Мико́ла Григо́рович Чеботарьо́в, russian: Никола́й Григо́рьевич Чеботарёв) ( – 2 July 1947) was a Ukrainian and Soviet mathematician. He is best known for the Chebotaryov density theorem. He was a student of Dmitry Grave, a Russian mathematician. Chebotaryov worked on the algebra of polynomials, in particular examining the distribution of the zeros. He also studied Galois theory and wrote a textbook on the subject titled ''Basic Galois Theory''. His ideas were used by Emil Artin to prove the Artin reciprocity law. He worked with his student Anatoly Dorodnov on a generalization of the quadrature of the lune, and proved the conjecture now known as the Chebotaryov theorem on roots of unity. Early life Nikolai Chebotaryov was born on 15 June 1894 in Kamianets-Podilskyi, Russian Empire (now in Ukraine). He entered the department of physics and ma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Doctor Nauk
Doctor of Sciences ( rus, доктор наук, p=ˈdoktər nɐˈuk, abbreviated д-р наук or д. н.; uk, доктор наук; bg, доктор на науките; be, доктар навук) is a higher doctoral degree in the Russian Empire, Soviet Union and many post-Soviet countries, which may be earned after the Candidate of Sciences. History The "Doctor of Sciences" degree was introduced in the Russian Empire in 1819 and abolished in 1917. Later it was revived in the USSR on January 13, 1934, by a decision of the Council of People's Commissars of the USSR. By the same decision, a lower degree, "Candidate of Sciences" (''kandidat nauk''), roughly the Russian equivalent to the research doctorate in other countries, was first introduced. This system was generally adopted by the USSR/Russia and many post-Soviet/Eastern bloc states, including Bulgaria, Belarus, former Czechoslovakia, Poland (since abolished), and Ukraine. But note that the former Yugoslav degree "Do ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Habilitation
Habilitation is the highest university degree, or the procedure by which it is achieved, in many European countries. The candidate fulfills a university's set criteria of excellence in research, teaching and further education, usually including a dissertation. The degree, abbreviated "Dr. habil." (Doctor habilitatus) or "PD" (for "Privatdozent"), is a qualification for professorship in those countries. The conferral is usually accompanied by a lecture to a colloquium as well as a public inaugural lecture. History and etymology The term ''habilitation'' is derived from the Medieval Latin , meaning "to make suitable, to fit", from Classical Latin "fit, proper, skillful". The degree developed in Germany in the seventeenth century (). Initially, habilitation was synonymous with "doctoral qualification". The term became synonymous with "post-doctoral qualification" in Germany in the 19th century "when holding a doctorate seemed no longer sufficient to guarantee a proficient transfer o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Abstract Algebra
In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures. Algebraic structures include groups, rings, fields, modules, vector spaces, lattices, and algebras over a field. The term ''abstract algebra'' was coined in the early 20th century to distinguish this area of study from older parts of algebra, and more specifically from elementary algebra, the use of variables to represent numbers in computation and reasoning. Algebraic structures, with their associated homomorphisms, form mathematical categories. Category theory is a formalism that allows a unified way for expressing properties and constructions that are similar for various structures. Universal algebra is a related subject that studies types of algebraic structures as single objects. For example, the structure of groups is a single object in universal algebra, which is called the ''variety of groups''. History Before the nineteenth century, algebra meant ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ado's Theorem
In abstract algebra, Ado's theorem is a theorem characterizing finite-dimensional Lie algebras. Statement Ado's theorem states that every finite-dimensional Lie algebra ''L'' over a field ''K'' of characteristic zero can be viewed as a Lie algebra of square matrices under the commutator bracket. More precisely, the theorem states that ''L'' has a linear representation ρ over ''K'', on a finite-dimensional vector space ''V'', that is a faithful representation, making ''L'' isomorphic to a subalgebra of the endomorphisms of ''V''. History The theorem was proved in 1935 by Igor Dmitrievich Ado of Kazan State University, a student of Nikolai Chebotaryov. The restriction on the characteristic was later removed by Kenkichi Iwasawa (see also the below Gerhard Hochschild paper for a proof). Implications While for the Lie algebras associated to classical groups there is nothing new in this, the general case is a deeper result. Applied to the real Lie algebra of a Lie group ''G'', it doe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kazan National Research Technological University
Kazan National Research Technological University, KNRTU is an innovational scientific educational complex. The University comprises 15 academic and research institutes; runs over 100 Specialist, Bachelor's, Master's Degree and Ph.D A Doctor of Philosophy (PhD, Ph.D., or DPhil; Latin: or ') is the most common degree at the highest academic level awarded following a course of study. PhDs are awarded for programs across the whole breadth of academic fields. Because it is .... programs; enrolls over 27,000 undergraduate and graduate students, 900 Ph.D. and 100 Post-Doc students from Russia and other countries; employs over 300 Full Professors, Doctors of Science and 800 Associate Professors, Ph.D.s; raises the budget of 1.4 billion rubles. The partner institutions of Kazan National Research Technological University are 24 universities, research centers and international educational organizations in 13 countries. The University is one of the 6 Russian Universities which are m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kenkichi Iwasawa
Kenkichi Iwasawa ( ''Iwasawa Kenkichi'', September 11, 1917 – October 26, 1998) was a Japanese mathematician who is known for his influence on algebraic number theory. Biography Iwasawa was born in Shinshuku-mura, a town near Kiryū, in Gunma Prefecture. He attended elementary school there, but later moved to Tokyo to attend Musashi High School. From 1937 to 1940 Iwasawa studied as an undergraduate at Tokyo Imperial University, after which he entered graduate school at University of Tokyo and became an assistant in the Department of Mathematics. In 1945 he was awarded a Doctor of Science degree. However, this same year Iwasawa became sick with pleurisy, and was unable to return to his position at the university until April 1947. From 1949 to 1955 he worked as assistant professor at Tokyo University. In 1950, Iwasawa was invited to Cambridge, Massachusetts to give a lecture at the International Congress of Mathematicians on his method to study Dedekind zeta functions using ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1910 Births
Year 191 ( CXCI) was a common year starting on Friday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Apronianus and Bradua (or, less frequently, year 944 ''Ab urbe condita''). The denomination 191 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Parthia * King Vologases IV of Parthia dies after a 44-year reign, and is succeeded by his son Vologases V. China * A coalition of Chinese warlords from the east of Hangu Pass launches a punitive campaign against the warlord Dong Zhuo, who seized control of the central government in 189, and held the figurehead Emperor Xian hostage. After suffering some defeats against the coalition forces, Dong Zhuo forcefully relocates the imperial capital from Luoyang to Chang'an. Before leaving, Dong Zhuo orders his troops to loot the tombs of the Ha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
