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Gordana Todorov
Gordana Todorov (born July 24, 1949) is a mathematician working in noncommutative algebra, representation theory, Artin algebras, and cluster algebras. She is a professor of mathematics at Northeastern University. Biography Todorov earned her Ph.D. in 1978, at Brandeis University. Her dissertation, ''Almost Split Sequences in the Representation Theory of Certain Classes of Artin Algebras'', was supervised by Maurice Auslander. Todorov is married to mathematician Kiyoshi Igusa. The Igusa–Todorov functions and Igusa–Todorov endomorphism algebras are named for their joint work. Todorov is also the namesake of Todorov's theorem on preprojective partitions, and the Gentle–Todorov theorem on abelian categories In mathematics, an abelian category is a category in which morphisms and objects can be added and in which kernels and cokernels exist and have desirable properties. The motivating prototypical example of an abelian category is the category of abel .... References Ext ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Noncommutative Algebra
In mathematics, a noncommutative ring is a ring whose multiplication is not commutative; that is, there exist ''a'' and ''b'' in the ring such that ''ab'' and ''ba'' are different. Equivalently, a ''noncommutative ring'' is a ring that is not a commutative ring. Noncommutative algebra is the part of ring theory devoted to study of properties of the noncommutative rings, including the properties that apply also to commutative rings. Sometimes the term ''noncommutative ring'' is used instead of ''ring'' to refer to a unspecified ring which is not necessarily commutative, and hence may be commutative. Generally, this is for emphasizing that the studied properties are not restricted to commutative rings, as, in many contexts, ''ring'' is used as a shortcut for ''commutative ring''. Although some authors do not assume that rings have a multiplicative identity, in this article we make that assumption unless stated otherwise. Examples Some examples of noncommutative rings: * The ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1949 Births
Events January * January 1 – A United Nations-sponsored ceasefire brings an end to the Indo-Pakistani War of 1947. The war results in a stalemate and the division of Kashmir, which still continues as of 2022. * January 2 – Luis Muñoz Marín becomes the first democratically elected Governor of Puerto Rico. * January 11 – The first "networked" television broadcasts take place, as KDKA-TV in Pittsburgh, Pennsylvania goes on the air, connecting east coast and mid-west programming in the United States. * January 16 – Şemsettin Günaltay forms the new government of Turkey. It is the 18th government, last One-party state, single party government of the Republican People's Party. * January 17 – The first Volkswagen Beetle, VW Type 1 to arrive in the United States, a 1948 model, is brought to New York City, New York by Dutch businessman Ben Pon Sr., Ben Pon. Unable to interest dealers or importers in the Volkswagen, Pon sells the sample car to pay his ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Northeastern University Faculty
The points of the compass are a set of horizontal, radially arrayed compass directions (or azimuths) used in navigation and cartography. A compass rose is primarily composed of four cardinal directions—north, east, south, and west—each separated by 90 degrees, and secondarily divided by four ordinal (intercardinal) directions—northeast, southeast, southwest, and northwest—each located halfway between two cardinal directions. Some disciplines such as meteorology and navigation further divide the compass with additional azimuths. Within European tradition, a fully defined compass has 32 'points' (and any finer subdivisions are described in fractions of points). Compass points are valuable in that they allow a user to refer to a specific azimuth in a colloquial fashion, without having to compute or remember degrees. Designations The names of the compass point directions follow these rules: 8-wind compass rose * The four cardinal directions are north (N), east (E) ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brandeis University Alumni
Brandeis is a surname. People *Antonietta Brandeis (1848–1926), Czech-born Italian painter *Brandeis Marshall, American data scientist *Friedl Dicker-Brandeis, Austrian artist and Holocaust victim *Irma Brandeis, American Dante scholar * Louis Brandeis, U.S. Supreme Court Justice Named for Louis Brandeis ** Brandeis Brief, a 1908 document written by Brandeis as a litigator **Brandeis University, in Massachusetts, U.S. **Brandeis-Bardin Institute, now the Brandeis-Bardin Campus of American Jewish University, in California, U.S. **Louis D. Brandeis School of Law, at the University of Louisville in Kentucky, U.S. **Brandeis Medal, awarded by the University of Louisville's Louis D. Brandeis Society **Brandeis Award (other), several different awards **Kfar Brandeis (English: Brandeis village), a suburb of Hadera, Israel See also *Brandýs nad Labem-Stará Boleslav (german: Brandeis an der Elbe), a town in the Czech Republic *Brandýs nad Orlicí (german: Brandeis an der A ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
21st-century American Mathematicians
The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius ( AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman empero ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Living People
Related categories * :Year of birth missing (living people) / :Year of birth unknown * :Date of birth missing (living people) / :Date of birth unknown * :Place of birth missing (living people) / :Place of birth unknown * :Year of death missing / :Year of death unknown * :Date of death missing / :Date of death unknown * :Place of death missing / :Place of death unknown * :Missing middle or first names See also * :Dead people * :Template:L, which generates this category or death years, and birth year and sort keys. : {{DEFAULTSORT:Living people 21st-century people People by status ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Advances In Mathematics
''Advances in Mathematics'' is a peer-reviewed scientific journal covering research on pure mathematics. It was established in 1961 by Gian-Carlo Rota. The journal publishes 18 issues each year, in three volumes. At the origin, the journal aimed at publishing articles addressed to a broader "mathematical community", and not only to mathematicians in the author's field. Herbert Busemann writes, in the preface of the first issue, "The need for expository articles addressing either all mathematicians or only those in somewhat related fields has long been felt, but little has been done outside of the USSR. The serial publication ''Advances in Mathematics'' was created in response to this demand." Abstracting and indexing The journal is abstracted and indexed in: * |
Representation Theory
Representation theory is a branch of mathematics that studies abstract algebraic structures by ''representing'' their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures. In essence, a representation makes an abstract algebraic object more concrete by describing its elements by matrices and their algebraic operations (for example, matrix addition, matrix multiplication). The theory of matrices and linear operators is well-understood, so representations of more abstract objects in terms of familiar linear algebra objects helps glean properties and sometimes simplify calculations on more abstract theories. The algebraic objects amenable to such a description include groups, associative algebras and Lie algebras. The most prominent of these (and historically the first) is the representation theory of groups, in which elements of a group are represented by invertible matrices in such a way that the group operation i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Abelian Category
In mathematics, an abelian category is a category in which morphisms and objects can be added and in which kernels and cokernels exist and have desirable properties. The motivating prototypical example of an abelian category is the category of abelian groups, Ab. The theory originated in an effort to unify several cohomology theories by Alexander Grothendieck and independently in the slightly earlier work of David Buchsbaum. Abelian categories are very ''stable'' categories; for example they are regular and they satisfy the snake lemma. The class of abelian categories is closed under several categorical constructions, for example, the category of chain complexes of an abelian category, or the category of functors from a small category to an abelian category are abelian as well. These stability properties make them inevitable in homological algebra and beyond; the theory has major applications in algebraic geometry, cohomology and pure category theory. Abelian categories are na ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kiyoshi Igusa
Kiyoshi Igusa (born November 28, 1949) is a Japanese-American mathematician and a professor at Brandeis University. He works in representation theory and topology. Education and career He studied at the University of Chicago and Princeton University, where he obtained his Ph.D. in 1979, under the direction of Allen Hatcher. From 1981 to 1983, he was a Sloan Fellowship, Sloan Fellow, and since 2012 he is a Fellow of the American Mathematical Society. Personal life Igusa's father, Jun-Ichi Igusa, was also a mathematician. Igusa is married to Gordana Todorov, with whom he is a frequent collaborator. Selected publications * * * * References External links * (Personal Website) {{DEFAULTSORT:Igusa, Kiyoshi Fellows of the American Mathematical Society 1949 births Living people Brandeis University faculty American people of Japanese descent University of Chicago alumni Princeton University alumni 21st-century American mathematicians Sloan Research Fellows 20th-cen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
