Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Mohsen Asgharzadeh"'
The second vanishing theorem has a long history in the theory of local cohomology modules, which connects the vanishing of a complete regular local ring with a topological property of the punctured spectrum of the ring under some conditions. However,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bd648ce793c1b03b832e8f8ce52889ed
Autor:
Mohsen Asgharzadeh
Publikováno v:
Journal of Pure and Applied Algebra. 222:2244-2256
We identify families of commutative rings that can be written as a direct limit of a directed system of noetherian regular rings and investigate the homological properties of such rings.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8e12c4f50e753b011e4552e73c8a3873
https://doi.org/10.1016/j.jpaa.2017.09.008
https://doi.org/10.1016/j.jpaa.2017.09.008
Publikováno v:
Journal of Pure and Applied Algebra. 218:1730-1744
Let A be a direct limit of a direct system of Cohen–Macaulay rings. In this paper, we describe the Cohen–Macaulay property of A . Our results indicate that A is not necessarily Cohen–Macaulay. We show A is Cohen–Macaulay under various assumpt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fbcde5ca895fcfd055b86008a35582ad
https://doi.org/10.1016/j.jpaa.2014.01.010
https://doi.org/10.1016/j.jpaa.2014.01.010
Publikováno v:
Communications in Algebra. 39:1082-1103
Let 𝔞 be an ideal of a local ring (R, 𝔪) and M a finitely generated R-module. We investigate the structure of the formal local cohomology modules , i ≥ 0. We prove several results concerning finiteness properties of formal local cohomology mo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2636d329e97634a4256fd9f3c3d0d7a9
https://doi.org/10.1080/00927871003610312
https://doi.org/10.1080/00927871003610312
Autor:
Mohsen Asgharzadeh
Publikováno v:
Mathematische Annalen. 348:237-263
For a Noetherian local domain $R$ let $R^+$ be the absolute integral closure of $R$ and let $R_{\infty}$ be the perfect closure of $R$, when $R$ has prime characteristic. In this paper we investigate the projective dimension of residue rings of certa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1279c97c609592c8dd1b70b560628803
https://doi.org/10.1007/s00208-009-0474-x
https://doi.org/10.1007/s00208-009-0474-x
Publikováno v:
Journal of Pure and Applied Algebra. 213:321-328
Let \fa be an ideal of a commutative Noetherian ring R and M a finitely generated R-module. We explore the behavior of the two notions f_{\fa}(M), the finiteness dimension of M with respect to \fa, and, its dual notion q_{\fa}(M), the Artinianess dim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1ac3a36abff818caf6e83373103132ea
https://doi.org/10.1016/j.jpaa.2008.07.006
https://doi.org/10.1016/j.jpaa.2008.07.006
Publikováno v:
J. Commut. Algebra 9, no. 1 (2017), 1-19
Let k be a field and R a pure subring of the infinite-dimensional polynomial ring k[X1;...]. If R is generated by monomials, then we show that the equality of height and grade holds for all ideals of R. Also, we show R satisfies the weak Bourbaki unm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::39e9d87504308dac2386eded71d76109
Publikováno v:
Rocky Mountain J. Math. 44, no. 2 (2014), 349-365
Let R be a commutative Noetherian ring. We introduce a theory of formal local cohomology for complexes of R-modules. As an application, we establish some relations between formal local cohomology, local homology, local cohomology and local Tate cohom
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8f14c86a523623ae69e048031675ac66
In this note we present some remarks on big Cohen-Macaulay algebras. Our methods for doing this are inspired by the notion of dagger closure and by ideas of Northcott on dropping of the Noetherian assumption of certain homological properties.
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Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ef8a9042a250020a9b5e075c3dccedfc
http://arxiv.org/abs/1009.1454
http://arxiv.org/abs/1009.1454
Autor:
Kazuma Shimomoto, Mohsen Asgharzadeh
Publikováno v:
J. Commut. Algebra 4, no. 4 (2012), 445-478
The present paper deals with various aspects of the notion of almost Cohen-Macaulay property, which was introduced and studied by Roberts, Singh and Srinivas. We employ the definition of almost zero modules as defined by a value map, which is differe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f9aa88b99db4ef9b0e313fcd588143e4
http://arxiv.org/abs/1003.0265
http://arxiv.org/abs/1003.0265