The canonical module of a Cox ring

M Hashimoto, K Kurano - 2011 - projecteuclid.org
In this paper, we describe the graded canonical module of a Noetherian multisection ring of
a normal projective variety. In particular, in the case of the Cox ring, we prove that the …

Formula: see text]-trivial deformation of [Formula: see text]-modules structure on the spaces of symbols [Formula: see text] of differential operators acting on the space …

AA Almoneef, M Abdaoui, A Ghallabi - Heliyon, 2024 - pubmed.ncbi.nlm.nih.gov
Let osp (2| 2) be the orthosymplectic Lie superalgebra and osp (1| 2) a Lie subalgebra of
osp (2| 2). In our paper, we describe the cup-product H 1∨ H 1, where H 1:= H 1 (osp (2| 2) …

Generalized Tate cohomology and Avramov–Martsinkovsky type sequences

Z Wang - Journal of Algebra and Its Applications, 2024 - World Scientific
Let 𝒜 be an abelian category with enough projectives. In the category of 𝒜-complexes, we
introduce generalized Tate cohomology with respect to subcategories, and show that there …

[PDF][PDF] Local cohomology, d-sequences and generalized fractions

K Ahmadi-Amoli - Colloquium Mathematicae, 1998 - eudml.org
KH. AH MA DI-AMOLI(TEHRAN) 1. Introduction. Throughout, A denotes a commutative
Noetherian ring (with identity), I denotes an ideal of A and M denotes a finitely generated A …

General local cohomology modules in view of low points and high points

MY Sadeghi, K Ahmadi Amoli… - Ukrainian Mathematical …, 2023 - Springer
Let R be a commutative Noetherian ring, let Φ be a system of ideals of R, let M be a finitely
generated R-module, and let t be a nonnegative integer. We first show that a general local …

[PDF][PDF] Co-∗ n-tuple of Contravariant Functors

S Al-Nofayee - British Journal of Mathematics & Computer …, 2014 - info.submit4journal.com
Co-∗n-tuple of Contravariant Functors Abstract 1 Introduction Page 1 British Journal of
Mathematics & Computer Science 4(12): 1701-1709, 2014 SCIENCEDOMAIN international …

[HTML][HTML] Some splitting theorems for extension and torsion functors of local cohomology modules

E Zangoiezadeh, K Khashyarmanesh - Journal of Algebra, 2018 - Elsevier
Let R be a commutative ring with identity, a an ideal of R and M a finitely generated R-
module. In this paper, for fixed integers t and j, we study the existence of the following …

Relative Igusa-Todorov functions and relative homological dimensions

M Lanzilotta, O Mendoza - Algebras and Representation Theory, 2017 - Springer
We develope the theory of E E-relative Igusa-Todorov functions in an exact IT-context (C, E)
(C,E) (see Definition 2.1). In the case when C= mod (Λ) C=mod\,(Λ) is the category of finitely …

[引用][C] On the non-vanishing and the Artinianness of generalized local cohomology modules

TT Nam - Journal of Algebra and Its Applications, 2013 - World Scientific
ON THE NON-VANISHING AND THE ARTINIANNESS OF GENERALIZED LOCAL
COHOMOLOGY MODULES Page 1 Journal of Algebra and Its Applications Vol. 12, No. 4 (2013) …

A Structure Theorem for—Spec k-bimodules

A Nyman - Algebras and Representation Theory, 2013 - Springer
Let k be an algebraically closed field. Using the Eilenberg–Watts theorem over schemes
(Nyman, J Pure Appl Algebra 214: 1922–1954, 2010), we determine the structure of k-linear …