Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Graham J. Leuschke"'
Autor:
Graham J. Leuschke, Alex Dugas
Publikováno v:
Journal of Algebra. 571:94-120
A construction due to Knorrer shows that if N is a maximal Cohen–Macaulay module over a hypersurface defined by f + y 2 , then the first syzygy of N / y N decomposes as the direct sum of N and its own first syzygy. This was extended by Herzog–Pop
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::16d91472d869223b7ed97b64c66808fb
https://doi.org/10.1016/j.jalgebra.2018.11.021
https://doi.org/10.1016/j.jalgebra.2018.11.021
This volume contains the combined Proceedings of the Second International Meeting on Commutative Algebra and Related Areas (SIMCARA) held from July 22–26, 2019, at the Universidade de São Paulo, São Carlos, Brazil, and the AMS Special Session on
This volume contains the proceedings of the 17th Workshop and International Conference on Representations of Algebras (ICRA 2016), held from August 10–19, 2016, at Syracuse University, Syracuse, NY. Included are three survey articles based on short
Publikováno v:
Vrije Universiteit Brussel
In our paper "Non-commutative desingularization of determinantal varieties, I" we constructed and studied non-commutative resolutions of determinantal varieties defined by maximal minors. At the end of the introduction we asserted that the results co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::addd3d9852c8e6cf1c8cca14ae2246be
https://hdl.handle.net/20.500.14017/582f5e8d-f35d-41b1-9f85-3af65a5fbe36
https://hdl.handle.net/20.500.14017/582f5e8d-f35d-41b1-9f85-3af65a5fbe36
Autor:
Roger Wiegand, Graham J. Leuschke
Publikováno v:
Journal of Pure and Applied Algebra. 201(1-3):204-217
Let R = k [ [ x 0 , … , x d ] ] / ( f ) , where k is a field and f is a non-zero non-unit of the formal power series ring k [ [ x 0 , … , x d ] ] . We investigate the question of which rings of this form have bounded Cohen–Macaulay type, that i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aab403e9db7348c92c7398de784ebe76
Autor:
Roger Wiegand, Graham J. Leuschke
Publikováno v:
Algebras and Representation Theory. 8:225-238
Let $(R,\mathfrak{m},k)$ be a complete local Cohen–Macaulay (CM) ring of dimension one. It is known that R has finite CM type if and only if R is reduced and has bounded CM type. Here we study the one-dimensional rings of bounded but infinite CM ty
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9d7ffc02626241b45aedd45d6db51b87
https://doi.org/10.1007/s10468-004-8319-5
https://doi.org/10.1007/s10468-004-8319-5
Autor:
Craig Huneke, Graham J. Leuschke
Publikováno v:
Proceedings of the American Mathematical Society. 131:3003-3007
We prove (the excellent case of) Schreyer's conjecture that a local ring with countable CM type has at most a one-dimensional singular locus. Furthermore, we prove that the localization of a Cohen-Macaulay local ring of countable CM type is again of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b67414c806ef7876ee036be4c523ba8f
https://doi.org/10.1090/s0002-9939-03-07167-3
https://doi.org/10.1090/s0002-9939-03-07167-3
Autor:
Graham J. Leuschke, Ian M. Aberbach
Publikováno v:
Mathematical Research Letters. 10:51-56
We show that the F-signature of a local ring of characteristic p, defined by Huneke and Leuschke, is positive if and only if the ring is strongly F-regular.
Comment: revised version, incorporating referee's comments. 6 pages
Comment: revised version, incorporating referee's comments. 6 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ad8ef5b5395f88db57cf34a035211e59
https://doi.org/10.4310/mrl.2003.v10.n1.a6
https://doi.org/10.4310/mrl.2003.v10.n1.a6
Autor:
Graham J. Leuschke
Publikováno v:
Communications in Algebra. 30:2023-2035
A Gorenstein module over a local ring R is a maximal Cohen–Macaulay module of finite injective dimension. We use existence of Gorenstein modules to extend a result due to S. Ding: A Cohen–Macaulay ring of finite index, with a Gorenstein module, i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fa0519bcb4d91bb2b724d428eecf73f5
https://doi.org/10.1081/agb-120013229
https://doi.org/10.1081/agb-120013229
Autor:
Graham J. Leuschke
Publikováno v:
Journal of Pure and Applied Algebra. 167(2-3):225-257
We define the mixed ADE singularities, which are generalizations of the ADE plane curve singularities to the case of mixed characteristic. The ADE plane curve singularities are precisely the equicharacteristic plane curve singularities of finite Cohe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5abe49facc8f36e1531f93df4bb48063