Gerhard Hochschild
Gerhard Paul Hochschild (Eprel 29, 1915 – Julaị 8, 2010) bụ onye ọkà mmụta mgbakọ na mwepụ America mụrụ German, onye mere nyocha na Lie groups, algebraic groups, homological algebra na theory algebraic number. A maara ya maka Hochschild homology. Na 1979 a hoputara ya ka United States National Academy of Sciences.
Okwu Ndị okwuru
[dezie]- "...Enwere ike ileta tiori nke ọnụahịa dị ka ngalaba nke algebra topological. N'ezie, n'ikwu okwu n'akụkọ ihe mere eme, ọ na-anọchi anya mbuso agha mbụ nke topology, n'ụzọ ziri ezi, nke mmalite metric topology, banye na ngalaba nke algebra. Iwebata ụzọ metrik n'ime algebra abụrụla mkpụrụ nke na taa ọtụtụ n'ime echiche algebra dị omimi na-ebu akara ha. N'akụkụ a, mmadụ kwesịrị ịmata ọdịiche dị n'etiti ojiji oge gboo na algebra nke metric eke nke ubi ọnụọgụ n'ezie ma ọ bụ mgbagwoju anya, dị ka n'igosipụta "theorem theorem of algebra," na iji ihe ndị na-adịbeghị anya nke metrics na-apụtachaghị ìhè bụ nke sitere n'echiche mgbakọ na mwepụ nke divisibility na nke mebere echiche bụ isi nke valuation. Ụdị metrik dị otú ahụ na-eme na nke mbụ na Hensel na-ewu ụlọ nke p-adic number ..."
- 1951). "Book Review: The theory of valuations". Bulletin of the American Mathematical Society 57 (1): 91–94. ISSN 0002-9904. DOI:10.1090/S0002-9904-1951-09464-1.
- Ka F bụrụ mpaghara njirimara 0, ka F bụrụ oghere vector nwere oke n'elu F. Ka E gosi algebra nke endomorphisms niile nke V, ka L bụrụkwa subalgebra Lie ọ bụla nke E. N'ime algebra Lie algebras dị na E nwere L', e nwere nke dị n'ime ha niile, nke a na-akpọkwa algebra hull nke L' na E. N'ebe a, a na-akọwa algebra Lie algebra dị ka Lie algebra nke otu algebra. Ọ bụ nsonaazụ dị mfe nke nkọwa na ọ bụrụ na A na B bụ otu algebraic nke automorphisms nke V dị ka A⊂ B mgbe ahụ Lie algebra nke A dị na Lie algebra nke B . N'ihi ya, ịdị adị nke algebra hull nke L bụ nsonaazụ ozugbo nke nsonaazụ bụ isi: ka G bụrụ njikọ nke otu algebraic automorphisms nke V nke Lie algebra nwere L.
- (1960). "On the algebraic hull of a Lie algebra". Proceedings of the American Mathematical Society 11 (2): 195–199. ISSN 0002-9939. DOI:10.1090/S0002-9939-1960-0121428-8.
- A na-ekwu na Lie algebra bụ algebra ma ọ bụrụ na ọ bụ isomorphic na Lie algebra nke otu affine algebraic. N'iburu n'uche na otu affine algebra na-enweghị njikọ kpamkpam (nke a na-ahụkarị, otu vector na otu toroidal) nwere ike ịnwe isomorphic Lie algebras, echiche a nke algebra Lie algebra na-akpọ maka nkọwa. Ihe kacha pụta ìhè na ntụziaka a bụ n'ihi M. Goto. Ọ na-ekwu na njedebe Lie algebra L n'ofe mpaghara njirimara 0 bụ algebra ma ọ bụrụ na ọ bụrụ na ihe oyiyi nke L n'okpuru ihe nnọchianya dị n'akụkụ bụ Lie algebra nke subgroup algebra nke otu automorphisms nke L ...
- (1971). "Note on algebraic Lie algebras". Proceedings of the American Mathematical Society 29 (1): 10–16. ISSN 0002-9939. DOI:10.1090/S0002-9939-1971-0281720-0
- ... Lie algebra nwere ihe ọ pụtara gafere ngalaba algebra, n'ihi na ha na-arụ oke ọrụ dị mkpa na tiori nke otu Lie. Ya mere, ozizi Lie algebra nke oge gboo na-achịkwa nke ọma site n'eziokwu ahụ bụ na ihe nlere anya nyocha nke otu nleba anya nwere njikọ chiri anya bụ nke a ga-eji na-egosi na ọ bụ ihe nhụsianya nwere oke nke Lie algebra. Na tiori nke ihe nnochite anya enweghị ngwụcha, njikọ ya na nnọchite anya Lie algebra dị ntakịrị ntakịrị, mana ka o sina dị, ọ bụ isi n'ime nnukwu ọganihu e nwetara na echiche ahụ n'ime afọ 30 gara aga.
- (1975). "Book Review: Primideale in Einhüllenden auflösbarer Lie-algebren". Bulletin of the American Mathematical Society 81 (1): 39–40. ISSN 0002-9904. DOI:10.1090/S0002-9904-1975-13628-7.
