Results 21 to 30 of about 234,678 (87)

On the pre-commutative envelopes of commutative algebras [PDF]

Journal of Algebra and its Applications
We prove that every nilpotent commutative algebra can be embedded into a pre-commutative (Zinbiel) algebra with respect to the anti-commutator operation.
H. Alhussein, P. Kolesnikov
semanticscholar   +1 more source

A graded Schur lemma and a graded-monoidal structure for induced modules over graded-commutative algebras [PDF]

Communications in Algebra
We consider algebras and Frobenius algebras, internal to a monoidal category, that are graded over a finite abelian group. For the case that A is a twisted group algebra in a linear abelian monoidal category we obtain a graded generalization of the Schur
Jürgen Fuchs, Tobias Grøsfjeld
semanticscholar   +1 more source

Commuting Jordan Types: a Survey [PDF]

arXiv, 2023
In this paper, we survey the progress in the problem of finding the maximum commuting nilpotent orbit that intersects the centralizer of a given nilpotent matrix.
arxiv  

More properties of almost Cohen-Macaulay rings [PDF]

Journal Commut. Algebra, 7(3), 2015, 363-372, 2013
Some interesting properties of almost Cohen-Macaulay rings are investigated and a Serre type property connected with this class of rings is studied.
arxiv   +1 more source

Gorenstein dimension of modules over homomorphisms [PDF]

, 2005
Given a homomorphism of commutative noetherian rings R --> S and an S-module N, it is proved that the Gorenstein flat dimension of N over R, when finite, may be computed locally over S.
Christensen, Lars Winther, Srikanth Iyengar   +2 more
core   +2 more sources

Annihilation of cohomology and strong generation of module categories

, 2015
The cohomology annihilator of a noetherian ring that is finitely generated as a module over its center is introduced. Results are established linking the existence of non-trivial cohomology annihilators and the existence of strong generators for the ...
Iyengar, Srikanth B., Takahashi, Ryo
core   +1 more source

Betti numbers for numerical semigroup rings

, 2018
We survey results related to the magnitude of the Betti numbers of numerical semigroup rings and of their tangent cones.Comment: 22 pages; v2: updated references. To appear in Multigraded Algebra and Applications (V. Ene, E. Miller Eds.
A Campillo, A Garcia, A Kumar Roy, A Moscariello, A Oneto, AV Jayanthan, Charles Delorme, Christopher O'Neill, David Eisenbud, DI Stamate, E Kunz, F Arslan, F Arslan, F Arslan, H Bresinsky, H Bresinsky, H Nari, H Nari, I García-Marco, Irena Peeva, J Herzog, J Herzog, J Herzog, J Herzog, J Herzog, J Herzog, J Komeda, J.C. Rosales, JC Rosales, K Eto, K Watanabe, L Bryant, L Robbiano, L Sharifan, M Cimpoeaş, M D’Anna, Mesut Şahin, MP Cavaliere, P Gimenez, R Fröberg, Rebecca Conaway, S Goto, T Numata, T Shibuta, T Vu, V Barucci, V Barucci, V Barucci, W Bruns, Y Aoyama   +49 more
core   +1 more source

Isomorphism types of commutative algebras of rank 7 over an arbitrary algebraically closed field of characteristic not 2 or 3 [PDF]

arXiv, 2021
We classify isomorphism types of unital commutative algebras of rank 7 over an algebraically closed field of characteristic not 2 or 3 completely.
arxiv  

Properties of Lyubeznik numbers under localization and polarization [PDF]

, 2014
We exhibit a global bound for the Lyubeznik numbers of a ring of prime characteristic. In addition, we show that for a monomial ideal, the Lyubeznik numbers of the quotient rings of its radical and its polarization are the same.
Banerjee, Arindam, Núñez-Betancourt, Luis, Yanagawa, Kohji   +2 more
core  

Commutative bidifferential algebra [PDF]

Journal of Algebra, 2021
O. Sánchez, Rahim Moosa
semanticscholar   +1 more source