Horenstein (other)
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Horenstein (other)
Gorenstein may refer to: * Daniel Gorenstein (1923–1992), American mathematician, known for **Alperin–Brauer–Gorenstein theorem **Gorenstein–Harada theorem **Gorenstein ring **Gorenstein scheme **Gorenstein–Walter theorem * Eli Gorenstein (born 1952), Israeli actor, voice actor, singer and cellist * Friedrich Gorenstein (1932–2002), Ukrainian author and screenwriter *Hilda Goldblatt Gorenstein (Hilgos) (1905–1998), artist and inspiration for the documentary ''I Remember Better When I Paint'' * Mark Gorenstein (born 1946), Russian conductor Horenstein may refer to: * Irving Howe (born Horenstein; 1920–1993). Jewish American literary and social critic * Jascha Horenstein (1898–1973), Ukrainian-born American conductor See also *Hornstein (surname) Hornstein, Gorenstein or Gornshteyn is a Jewish surname. Notable people with the surname include: * Frank Hornstein (born 1959), American politician * Harvey A. Hornstein, PhD, author of ''Brutal Bosses and their Prey: H ...
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Daniel Gorenstein
Daniel E. Gorenstein (January 1, 1923 – August 26, 1992) was an American mathematician. He earned his undergraduate and graduate degrees at Harvard University, where he earned his Ph.D. in 1950 under Oscar Zariski, introducing in his dissertation a duality principle for plane curves that motivated Grothendieck's introduction of Gorenstein rings. He was a major influence on the classification of finite simple groups. After teaching mathematics to military personnel at Harvard before earning his doctorate, Gorenstein held posts at Clark University and Northeastern University before he began teaching at Rutgers University in 1969, where he remained for the rest of his life. He was the founding director of DIMACS in 1989, and remained as its director until his death.A history of mathematics at Rutgers
Charles Weibel. Gorenstei ...
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Alperin–Brauer–Gorenstein Theorem
In mathematics, the Alperin–Brauer–Gorenstein theorem characterizes the finite simple groups with quasidihedral or wreathedA 2-group is wreathed if it is a nonabelian semidirect product of a maximal subgroup that is a direct product of two cyclic groups of the same order, that is, if it is the wreath product of a cyclic 2-group with the symmetric group on 2 points. Sylow 2-subgroups. These are isomorphic either to three-dimensional projective special linear groups or projective special unitary groups over a finite field of odd order, depending on a certain congruence, or to the Mathieu group In group theory, a topic in abstract algebra, the Mathieu groups are the five sporadic simple groups ''M''11, ''M''12, ''M''22, ''M''23 and ''M''24 introduced by . They are multiply transitive permutation groups on 11, 12, 22, 23 or 24 obje ... M_. proved this in the course of 261 pages. The subdivision by 2-fusion is sketched there, given as an exercise in , and presented in ...
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Gorenstein–Harada Theorem
In mathematical finite group theory, the Gorenstein–Harada theorem, proved by in a 464-page paper,"Abc conjecture — The Enormity of Math"
''Medium'', Cami Rosso, Feb 23, 2017 classifies the simple finite groups of sectional 2-rank at most 4. It is part of the . Finite simple groups of section 2 that rank at least 5, have s with a self-centralizing



Gorenstein Ring
In commutative algebra, a Gorenstein local ring is a commutative Noetherian local ring ''R'' with finite injective dimension as an ''R''-module. There are many equivalent conditions, some of them listed below, often saying that a Gorenstein ring is self-dual in some sense. Gorenstein rings were introduced by Grothendieck in his 1961 seminar (published in ). The name comes from a duality property of singular plane curves studied by (who was fond of claiming that he did not understand the definition of a Gorenstein ring). The zero-dimensional case had been studied by . and publicized the concept of Gorenstein rings. Frobenius rings are noncommutative analogs of zero-dimensional Gorenstein rings. Gorenstein schemes are the geometric version of Gorenstein rings. For Noetherian local rings, there is the following chain of inclusions. Definitions A Gorenstein ring is a commutative Noetherian ring such that each localization at a prime ideal is a Gorenstein local ring, as defined ...
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Gorenstein Scheme
In algebraic geometry, a Gorenstein scheme is a locally Noetherian scheme whose local rings are all Gorenstein. The canonical line bundle is defined for any Gorenstein scheme over a field, and its properties are much the same as in the special case of smooth schemes. Related properties For a Gorenstein scheme ''X'' of finite type over a field, ''f'': ''X'' → Spec(''k''), the dualizing complex ''f''!(''k'') on ''X'' is a line bundle (called the canonical bundle ''K''''X''), viewed as a complex in degree −dim(''X''). If ''X'' is smooth of dimension ''n'' over ''k'', the canonical bundle ''K''''X'' can be identified with the line bundle Ω''n'' of top-degree differential forms. Using the canonical bundle, Serre duality takes the same form for Gorenstein schemes as it does for smooth schemes. Let ''X'' be a normal scheme of finite type over a field ''k''. Then ''X'' is regular outside a closed subset of codimension at least 2. Let ''U'' be the open subset where ''X'' is regula ...
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Gorenstein–Walter Theorem
In mathematics, the Gorenstein–Walter theorem, proved by , states that if a finite group ''G'' has a dihedral Sylow 2-subgroup, and ''O''(''G'') is the maximal normal subgroup of odd order, then ''G''/''O''(''G'') is isomorphic to a 2-group, or the alternating group In mathematics, an alternating group is the group of even permutations of a finite set. The alternating group on a set of elements is called the alternating group of degree , or the alternating group on letters and denoted by or Basic prop ... ''A''7, or a subgroup of PΓL2(''q'') containing PSL2(''q'') for ''q'' an odd prime power. Note that A5 ≈ PSL2(4) ≈ PSL2(5) and A6 ≈ PSL2(9). References * * * Theorems about finite groups {{abstract-algebra-stub ...
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Eli Gorenstein
Eli Gorenstein ( he, אלי גורנשטיין; born August 31, 1952) is an Israeli actor, voice actor, director, singer and cellist. Biography Gorenstein was born in Tel Aviv and was raised in Ramat Gan during his childhood. His maternal grandfather was philosopher Felix Weltsch. He went to New York City to study theatre and music and he holds a master's degree at Tel Aviv University. He began his career sometime during the 1960s and as a theatre actor, he made frequent on-stage collaborations with Zachi Noy. He performed at many theatres across Israel such as the Habima Theatre and the Haifa Theatre. Gorenstein often starred in theatre adaptions of Shakespeare plays as well as the musical theatre. Gorenstein appeared as a guest on children's shows such as ''Rechov Sumsum'' (the Israeli production of ''Sesame Street''), ''Parpar Nechmad'' and '' Hachaverim shel Barney'' (the Israeli production of ''Barney & Friends''). He also made appearances in movies, most notably the 2007 fi ...
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Friedrich Gorenstein
Friedrich Gorenstein (, tr. ; 1932 – 2002) was a Ukrainian Jewish author and screenwriter. His works primarily deal with Stalinism, anti-Semitism, and the philosophical-religious view of a peaceful coexistence between Jews and Christians. Biography Gorenstein was born in a family of Ukrainian Jews, his father, Naum Isaevich Gorenstein (1902—1937), was a professor of political economy. His mother, Enna Abramovna Prilutskaya, was an educator. During the Stalinist repressions, his father was arrested in 1935 and sent to GULAG. He was shot in 1937 after trying to escape. After the arrest of his father, his mother changed Friedrich’s name to (Felix Prilutsky). He later regained his original name. His mother was the director of a home for juvenile offenders in Berdichev, Ukraine. During the Nazi invasion of 1941, he and his mother were evacuated to Orenburg in the Urals. His mother died of tuberculosis in 1943 in Orenburg. Friedrich was placed in an orphanage. Aft ...
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Hilda Goldblatt Gorenstein (Hilgos)
Hilda Goldblatt Gorenstein (1905–1998) was an American oil painter and watercolorist. A native of Montreal, Canada, who grew up in Portland, Oregon, U.S. Gorenstein started painting as a teenager at a time when women artists weren't very well received. A reflection of the times in which she lived, she signed her work "Hilgos", an androgynous professional working name. She was later the inspiration for the documentary film, ''I Remember Better When I Paint''. Career A graduate of the School of the Art Institute of Chicago in the early 1930s, she produced more than 1,500 artworks in about 70 years including paintings in oil and acrylic, watercolors, drawings and sculpture. Hilgos's pieces have been exhibited in cities across the United States and her artwork is part of private collections in the U.S. and abroad. She was a marine artist who was selected to paint twelve murals for the U.S. Navy's exhibit in the Federal Building for the 1933–1934 International Exhibition Century ...
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I Remember Better When I Paint
''I Remember Better When I Paint'' is a feature length international documentary film about the positive impact of art and other creative therapies in people with Alzheimer's disease and how these approaches can change the way the disease is viewed by society. The film examines the way creative arts bypass the limitations of dementia disorders such as Alzheimer's and shows how patients' still-vibrant imaginations are strengthened through therapeutic art. Synopsis The film is by Eric Ellena and Berna Huebner, and is narrated by actress Olivia de Havilland. It features an interview with Yasmin Aga Khan, president of Alzheimer's Disease International and daughter of Rita Hayworth, who had Alzheimer's, describing how her mother took up painting while struggling with the disease. The inspiration for the film is the story of Hilda Goldblatt Gorenstein (Hilgos), who had Alzheimer's. As she painted, Hilgos’s mobility and speech began to improve as did her quality of life. The docum ...
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Mark Gorenstein
Mark Borisovich Gorenstein (russian: Марк Борисович Горенштейн, born 16 September 1946) is a Russian conductor. He grew up in Odessa and studied at the conservatory in Kishinev. He later played violin in the Bolshoi Theatre Orchestra and the State Academic Symphony Orchestra of the then USSR. Gorenstein studied conducting in the Novosibirsk Conservatory. He was principal conductor of the MÁV Symphony Orchestra in Budapest from 1985 to 1988, of the Busan Philharmonic Orchestra from 1989 to 1992 (the first non-Korean conductor to hold the post), and the Molodaya Rossia Orchestra ( :ru:Государственный симфонический оркестр «Новая Россия»). He received a People's Artist of Russia award in 2002 and the Order of Merit for the Fatherland in 2006. Gorenstein became music director of the State Academic Symphony Orchestra of the Russian Federation in 2002. In 2011, controversy arose after Gorenstein made disparag ...
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Irving Howe
Irving Howe (; June 11, 1920 – May 5, 1993) was an American literary and social critic and a prominent figure of the Democratic Socialists of America. Early years Howe was born as Irving Horenstein in The Bronx, New York. He was the son of Jewish immigrants from Bessarabia, Nettie (née Goldman) and David Horenstein, who ran a small grocery store that went out of business during the Great Depression. His father became a peddler and eventually a presser in a dress factory. His mother was an operator in the dress trade. Howe attended City College of New York and graduated in 1940, alongside Daniel Bell and Irving Kristol; by the summer of 1940, he had changed his name to Howe for political (as distinct from official) purposes. While at school, he was constantly debating socialism, Stalinism, fascism, and the meaning of Judaism. He served in the US Army during World War II. Upon his return, he began writing literary and cultural criticism for the CIA-backed ''Partisan Revi ...
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