Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Mohsen Gheibi"'
Publikováno v:
Pacific Journal of Mathematics. 312:113-147
In this paper, we introduce a new homological invariant called quasi-projective dimension, which is a generalization of projective dimension. We discuss various properties of quasi-projective dimension. Among other things, we prove the following. (1)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ac04f7f69e3e8141724a9f0e8346521d
https://doi.org/10.2140/pjm.2021.312.113
https://doi.org/10.2140/pjm.2021.312.113
Autor:
Mohsen Gheibi, Ryo Takahashi
Publikováno v:
Journal of Algebra. 520:440-459
We study Cohen–Macaulay non-Gorenstein local rings ( R , m , k ) admitting certain totally reflexive modules. More precisely, we give a description of the Poincare series of k by using the Poincare series of a non-zero totally reflexive module with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c68d0b7b62fd56910e367cfa1d56ce3a
https://doi.org/10.1016/j.jalgebra.2018.10.040
https://doi.org/10.1016/j.jalgebra.2018.10.040
Autor:
Mohsen Gheibi, Ryo Takahashi
We study ideals in a local ring $R$ whose quotient rings induce large homomorphisms of local rings. We characterize such ideals over complete intersections, Koszul rings, and over some classes of Golod rings.
Comment: Final version, to appear in
Comment: Final version, to appear in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f43f0314cd234743401149c05e885b23
Publikováno v:
Kyoto J. Math. 58, no. 3 (2018), 639-669
We obtain various characterizations of commutative Noetherian local rings $(R, \fm)$ in terms of homological dimensions of certain finitely generated modules. For example, we establish that $R$ is Gorenstein if the Gorenstein injective dimension of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0b46503d971e9c409fa314c5e173488e
https://doi.org/10.1215/21562261-2017-0033
https://doi.org/10.1215/21562261-2017-0033
Publikováno v:
Algebras and Representation Theory. 17:997-1008
Let $R$ be a commutative Noetherian local ring. Assume that $R$ has a pair $\{x,y\}$ of exact zerodivisors such that $\dim R/(x,y)\ge2$ and all totally reflexive $R/(x)$-modules are free. We show that the first and second Brauer--Thrall type theorems
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4f98b05cfbb744cde42ad3ec9b64d4c0
https://doi.org/10.1007/s10468-013-9432-0
https://doi.org/10.1007/s10468-013-9432-0
Publikováno v:
J. Commut. Algebra 11, no. 3 (2019), 301-323
Motivated by the notion of geometrically linked ideals, we show that over a Gorenstein local ring $R$, if a Cohen-Macaulay $R$-module $M$ of grade $g$ is linked to an $R$-module $N$ by a Gorenstein ideal $c$, such that $Ass_R(M)\cap Ass_R(N)=\emptyse
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::84a85a0f0542c890c4ba2b93d85f8118
http://arxiv.org/abs/1602.08625
http://arxiv.org/abs/1602.08625
Publikováno v:
Journal of Algebra. 335(1):177-187
Inspired by the works in linkage theory of ideals, the concept of sliding depth of extension modules is defined to prove the Cohen-Macaulyness of linked module if the base ring is merely Cohen-Macaulay. Some relations between this new condition and o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::29396e038845abaa86b74db3cb55777d