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pro vyhledávání: '"Lawrence S. Levy"'
Autor:
Jan Trlifaj, Lawrence S. Levy
Publikováno v:
Abelian Groups, Rings, Modules, and Homological Algebra ISBN: 9780429144189
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::99efeafe6f30c10fce381f25149133a5
https://doi.org/10.1201/9781420010763-27
https://doi.org/10.1201/9781420010763-27
Autor:
Lee Klingler, Lawrence S. Levy
This memoir completes the series of papers beginning with [KL1,KL2], showing that, for a commutative noetherian ring $\Lambda$, either the category of $\Lambda$-modules of finite length has wild representation type or else we can describe the categor
Autor:
Lawrence S. Levy, Lee Klingler
Publikováno v:
Pacific Journal of Mathematics. 200:345-386
This is the first of a series of four papers describing the finitely generated modules over all commutative noetherian rings that do not have wild representation type (with a possible exception involving characteristic 2). This first paper identifies
Autor:
Lee Klingler, Lawrence S. Levy
Publikováno v:
Pacific Journal of Mathematics. 200:387-483
Autor:
Lawrence S. Levy
Publikováno v:
Algebra and Its Applications. :353-370
Autor:
Lawrence S. Levy, J.Chris Robson
Publikováno v:
Journal of Algebra. 218(2):338-372
Let R be a hereditary Noetherian prime ring. We determine a full set of invariants for the isomorphism class of any finitely generated projective R -module of uniform dimension at least 2. In particular we prove that P ⊕ X ≅ Q ⊕ X implies P ≅
Autor:
Charles J. Odenthal, Lawrence S. Levy
Publikováno v:
Transactions of the American Mathematical Society. 348:3457-3503
Let Λ \Lambda be a module-finite algebra over a commutative noetherian ring R R of Krull dimension 1. We determine when a collection of finitely generated modules over the localizations Λ m \Lambda _{\mathbf {m}} , at maximal ideals of R R , is the
Autor:
Charles J. Odenthal, Lawrence S. Levy
Publikováno v:
Transactions of the American Mathematical Society. 348:3391-3455
Let Λ \Lambda be a semiprime, module-finite algebra over a commutative noetherian ring R R of Krull dimension 1. We find necessary and sufficient conditions for the Krull-Schmidt theorem to hold for all finitely generated Λ \Lambda -modules, and ne
Autor:
Lawrence S. Levy, Lee Klingler
Publikováno v:
Journal of Algebra. 172(2):273-300
Let A 1 be the first Weyl algebra over a field F of characteristic zero. We show that the category of A 1 -modules of finite length is wild, despite the fact that every A 1 -module of finite length is cyclic. In fact, the category of A 1 -modules (no
Autor:
Robert M. Guralnick, Lawrence S. Levy
Publikováno v:
Journal of Algebra. 142:310-347
Let Λ be a module-finite algebra over a commutative noetherian ring of Krull dimension 1. We extend Roiter's direct-summand theorem to arbitrary finitely generated Λ-modules, obtaining a sharpened form of Serre's direct-summand theorem in this sett