Zobrazeno 1 - 10
of 119
pro vyhledávání: '"Iacob, Alina"'
Autor:
Gillespie, James, Iacob, Alina
Publikováno v:
Comptes Rendus. Mathématique, Vol 360, Iss G4, Pp 381-398 (2022)
Let $R$ be a general ring. Duality pairs of $R$-modules were introduced by Holm-Jørgensen. Most examples satisfy further properties making them what we call semi-complete duality pairs in this paper. We attach a relative theory of Gorenstein homolog
Externí odkaz:
https://doaj.org/article/5c8938f6780a48e1b346f0178502db50
Autor:
Gillespie, James, Iacob, Alina
We show that Iacob-Iyengar's answer to a question of Avromov-Foxby extends from Noetherian to coherent rings. In particular, a coherent ring R is regular if and only if the injective (resp. projective) dimension of each complex X of R-modules agrees
Externí odkaz:
http://arxiv.org/abs/2409.08393
Autor:
Iacob, Alina
We prove that the class of Gorenstein injective modules, $\mathcal{GI}$, is special precovering if and only if it is covering if and only if it is closed under direct limits. This adds to the list of examples that support Enochs' conjecture:\\ "Every
Externí odkaz:
http://arxiv.org/abs/2403.02493
Autor:
Iacob, Alina
One of the open problems in Gorenstein homological algebra is: when is the class of Gorenstein injective modules closed under arbitrary direct limits? It is known that if the class of Gorenstein injective modules, $\mathcal{GI}$, is closed under dire
Externí odkaz:
http://arxiv.org/abs/2308.08699
Autor:
Estrada, Sergio, Iacob, Alina
The existence of the Gorenstein projective precovers over arbitrary rings is an open question. It is known that if the ring has finite Gorenstein global dimension, then every module has a Gorenstein projective precover. We prove here a "reduction" pr
Externí odkaz:
http://arxiv.org/abs/2303.00213
Autor:
Gillespie, James, Iacob, Alina
A complex $X$ is called Ding injective if there exists an exact sequence of injective complexes $\ldots \rightarrow E_1 \rightarrow E_0 \rightarrow E_{-1} \rightarrow \ldots$ such that $X = Ker(E_0 \rightarrow E_{-1})$, and the sequence remains exact
Externí odkaz:
http://arxiv.org/abs/2107.11502
Autor:
Gillespie, James, Iacob, Alina
Let $R$ be a general ring. Duality pairs of $R$-modules were introduced by Holm-Jorgensen. Most examples satisfy further properties making them what we call semi-complete duality pairs in this paper. We attach a relative theory of Gorenstein homologi
Externí odkaz:
http://arxiv.org/abs/2105.01770
Autor:
Iacob, Alina
We give necessary and sufficient conditions in order for the class of projectively coresolved Gorenstein flat modules, $\mathcal{PGF}$, (respectively that of projectively coresolved Gorenstein $\mathcal{B}$ flat modules, $\mathcal{PGF}_{\mathcal{B}}$
Externí odkaz:
http://arxiv.org/abs/2001.09234
For a given class of modules $\mathcal{A}$, we denote by $\widetilde{\mathcal{A}}$ the class of exact complexes $X$ having all cycles in $\mathcal{A}$, and by $dw(\mathcal{A})$ the class of complexes $Y$ with all components $Y_j$ in $\mathcal{A}$. We
Externí odkaz:
http://arxiv.org/abs/2001.06480