Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Charles J. Odenthal"'
Publikováno v:
Communications in Algebra. 26:3743-3758
We show that the torsion free Krull-Schmidt-Azumaya Theorem holds for the integral group ring Z D 8 Were D 8 is the group of order 8, but torsion free cancellation (and hence also the torsion free Krull-Schmidt-Azumaya theorem) fails for the integral
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ebc498c3cb4b46a8bfc207e43c30b15c
https://doi.org/10.1080/00927879808826371
https://doi.org/10.1080/00927879808826371
Autor:
Willem S. Jansen, Charles J. Odenthal
Publikováno v:
Journal of Algebra. 192(2):572-591
The finite global dimension of a tiled order over a discrete valuation ring is bounded by a function of the uniform dimension of the order, but the exact form of the function is unknown. Let N be the uniform dimension. A conjecture [T1] that the boun
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bff60823c092263b596b7d7b94fd5eac
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d874752aeab28449c3b1c9f5330db17f
https://doi.org/10.1090/s0002-9947-96-01620-0
https://doi.org/10.1090/s0002-9947-96-01620-0
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e9e40f2e59634e4585443b222692aa7f
https://doi.org/10.1090/s0002-9947-96-01619-4
https://doi.org/10.1090/s0002-9947-96-01619-4
Autor:
Lawrence S. Levy, Charles J. Odenthal
Publikováno v:
Transactions of the American Mathematical Society; Sep1996, Vol. 348 Issue 9, p3457-3503, 47p
Autor:
Lawrence S. Levy, Charles J. Odenthal
Publikováno v:
Transactions of the American Mathematical Society; Sep1996, Vol. 348 Issue 9, p3391-3455, 65p
Publikováno v:
Proceedings of the American Mathematical Society. 103:1003-1011
We prove that, over a PID, if two matrices A {\mathbf {A}} and B {\mathbf {B}} have the same size, present isomorphic modules and have rank ≥ 2 \geq 2 , then A {\mathbf {A}} is equivalent to B {\mathbf {B}} . This answers a question raised by Nakay
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7cfcbfb54320ca41c13bc915c8e5aa33
https://doi.org/10.1090/s0002-9939-1988-0954973-3
https://doi.org/10.1090/s0002-9939-1988-0954973-3
Autor:
Charles J Odenthal
Publikováno v:
Journal of Algebra. (2):290-319
We prove a uniqueness theorem for presentations of modules over a class of hereditary noetherian prime rings that includes the hereditary orders studied in integral representation theory. The result also generalizes the elementary divisor theorem for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::93cc85be5982f2f0b5ff621f05d7d1fd