Zobrazeno 1 - 10
of 536
pro vyhledávání: '"Celikbas, A."'
In this paper we study rigid modules over commutative Noetherian local rings, establish new freeness criteria for certain periodic rigid modules, and extend several results from the literature. Along the way, we prove general Ext vanishing results ov
Externí odkaz:
http://arxiv.org/abs/2408.02820
We prove that the depth formula holds for two finitely generated Tor-independent modules over Cohen-Macaulay local rings if one of the modules considered has finite reducing projective dimension (for example, if it has finite projective dimension, or
Externí odkaz:
http://arxiv.org/abs/2312.06996
This article investigates the traces of certain modules over rings of invariants associated with finite groups. More precisely, we provide a formula for computing the traces of arbitrary semi-invariants, thereby contributing to the understanding of t
Externí odkaz:
http://arxiv.org/abs/2312.00983
We study a modified version of the classical Ulrich modules, which we call $c$-Ulrich. Unlike the traditional setting, $c$-Ulrich modules always exist. We prove that these modules retain many of the essential properties and applications observed in t
Externí odkaz:
http://arxiv.org/abs/2308.06606
We prove two theorems on the vanishing of Ext over commutative Noetherian local rings. Our first theorem shows that there are no Burch ideals which are rigid over non-regular local domains. Our second theorem reformulates a conjecture of Huneke-Wiega
Externí odkaz:
http://arxiv.org/abs/2308.08999
We consider fiber products of complete, local, noetherian algebras over a fixed residue field. Some of these rings cannot be minimally resolved with a free resolution using the recent work of the second author. We develop techniques to modify Geller'
Externí odkaz:
http://arxiv.org/abs/2307.05715
A semidualizing module is a generalization of Grothendieck's dualizing module. For a local Cohen-Macaulay ring $R$, the ring itself and its canonical module are always realized as (trivial) semidualizing modules. Reasonably, one might ponder the ques
Externí odkaz:
http://arxiv.org/abs/2306.14989
Autor:
Celikbas, Olgur, Yao, Yongwei
Publikováno v:
Journal of Pure and Applied Algebra, Volume 229, Issue 1, 2025
We study the vanishing of (co)homology along ring homomorphisms for modules that admit certain filtrations, and generalize a theorem of O. Celikbas-Takahashi. Our work produces new classes of rigid and test modules, in particular over local rings of
Externí odkaz:
http://arxiv.org/abs/2304.07641
In this paper we consider a question of Roger Wiegand, which is about tensor products of finitely generated modules that have finite projective dimension over commutative Noetherian rings. We construct modules of infinite projective dimension (and of
Externí odkaz:
http://arxiv.org/abs/2304.04490
In this paper we study homological dimensions of finitely generated modules over commutative Noetherian local rings, called reducing homological dimensions. We obtain new characterizations of Gorenstein and complete intersection local rings via reduc
Externí odkaz:
http://arxiv.org/abs/2212.05220