On maximal ideals of the polynomial ring and some conjectures on Ext-index of rings

S Bouchiba - Journal of Algebra and Its Applications, 2024 - World Scientific
Recall that a ring R is a Hilbert ring if any maximal ideal of R [X] contracts to a maximal ideal
of R. The main purpose of this paper is to characterize the prime ideals of a commutative …

Structure of irreducible homomorphisms to/from free modules

S Nasseh, R Takahashi - Algebras and Representation Theory, 2018 - Springer
The primary goal of this paper is to investigate the structure of irreducible monomorphisms to
and irreducible epimorphisms from finitely generated free modules over a noetherian local …

[HTML][HTML] Zaks' conjecture on rings with semi-regular proper homomorphic images

K Adarbeh, S Kabbaj - Journal of Algebra, 2016 - Elsevier
In this paper, we prove an extension of Zaks' conjecture on integral domains with semi-
regular proper homomorphic images (with respect to finitely generated ideals) to arbitrary …

ON THE FINITENESS OF EXT-INDICES OF RING EXTENSIONS

S Bouchiba, S Kabbaj - Rocky Mountain Journal of Mathematics, 2022 - projecteuclid.org
Our main goal is to investigate the finiteness of Ext-indices of ring extensions. We discuss
some known related conjectures in the literature and observe the relationships among them …

Local rings of embedding codepth at most 3 have only trivial semidualizing complexes

S Nasseh, S Sather-Wagstaff - arXiv preprint arXiv:1401.0210, 2013 - arxiv.org
arXiv:1401.0210v1 [math.AC] 31 Dec 2013 Page 1 arXiv:1401.0210v1 [math.AC] 31 Dec 2013
LOCAL RINGS OF EMBEDDING CODEPTH AT MOST 3 HAVE ONLY TRIVIAL …

On the Generalized Auslander–Reiten Conjecture under Certain Ring Extensions

S Nasseh - Canadian Mathematical Bulletin, 2015 - cambridge.org
On the Generalized Auslander–Reiten Conjecture under Certain Ring Extensions Page 1
Canad. Math. Bull. Vol. 58 (1), 2015 pp. 134–143 http://dx.doi.org/10.4153/CMB-2014-052-9 c …

Applications of Differential Graded Algebra Techniques in Commutative Algebra

S Nasseh, K Sather-Wagstaff - … Papers Dedicated to David Eisenbud on …, 2021 - Springer
Applications of Differential Graded Algebra Techniques in Commutative Algebra |
SpringerLink Skip to main content Advertisement SpringerLink Account Menu Find a journal …

[PDF][PDF] Ext-index (R):= sup| n| Ext,(M, N)= 0 for i> n and Ext%(M, N)= 0 for some finitely generated R-modules M and N

EOFAPP RING - sci.osaka-cu.ac.jp
|6]. Throughout the article, R denotes a commutative Noetherian ring with unity and Page 1
RING, EXTENSIONS OF AP3 PRINCS SAEE) NASSEH ANI) YUJI Y()SHIN () 1. Introduction …

DG homological algebra, properties of ring homomorphisms, and the generalized Auslander-Reiten conjecture

S Nasseh - 2013 - search.proquest.com
DG HOMOLOGICAL ALGEBRA, PROPERTIES OF RING HOMOMORPHISMS, AND THE
GENERALIZED AUSLANDER-REITEN CONJECTURE Page 1 DG HOMOLOGICAL ALGEBRA …

[PDF][PDF] RING EXTENSIONS OF AB RINGS

S NASSEH, Y YOSHINO - math.nagoya-u.ac.jp
RING EXTENSIONS OF AB RINGS Page 1 RING EXTENSIONS OF AB RINGS SAEED
NASSEH AND YUJI YOSHINO 1. Introduction This is a report of our recent work. For any detail …