Zobrazeno 1 - 10
of 555
pro vyhledávání: '"13E05"'
For a commutative noetherian ring $R$, we classify all the hereditary cotorsion pairs cogenerated by pure-injective modules of finite injective dimension. The classification is done in terms of integer-valued functions on the spectrum of the ring. Ea
Externí odkaz:
http://arxiv.org/abs/2411.04514
All rings are commutative, and all modules are unital. The purpose of this paper is to investigate the characterizations of weakly pseudo primary 2-absorbing sub-module in terms of some types of modules. We provide characterizations for the class of
Externí odkaz:
http://arxiv.org/abs/2410.20264
We reprove and generalize a result of Moh which bounds the minimal number of generators of an ideal in a power series ring in three variables over a field. As a consequence, we obtain minimal generating sets for the first prime of Moh, proving that t
Externí odkaz:
http://arxiv.org/abs/2407.21692
In this note, we introduce a very crude but natural notion of measure on the class of left R-modules over a ring R. We use this notion to give short proofs of some classical theorems on (left) Artinian rings and modules, due to Akizuki, Anderson, Hop
Externí odkaz:
http://arxiv.org/abs/2407.20488
Autor:
Yu, Teresa
We study the category of $\mathbf{P}$-equivariant modules over the infinite variable polynomial ring, where $\mathbf{P}$ denotes the subgroup of the infinite general linear group $\mathbf{GL}(\mathbf{C}^\infty)$ consisting of elements fixing a flag i
Externí odkaz:
http://arxiv.org/abs/2407.02588
Autor:
Krause, Henning
Matlis duality for modules over commutative rings gives rise to the notion of Matlis reflexivity. It is shown that Matlis reflexive modules form a Krull-Schmidt category. For noetherian rings the absence of infinite direct sums is a characteristic fe
Externí odkaz:
http://arxiv.org/abs/2404.16711
We prove that the infinite half-spin representations are topologically Noetherian with respect to the infinite spin group. As a consequence we obtain that half-spin varieties, which we introduce, are defined by the pullback of equations at a finite l
Externí odkaz:
http://arxiv.org/abs/2403.10274
Noetherian rings have played a fundamental role in commutative algebra, algebraic number theory, and algebraic geometry. Along with their dual, Artinian rings, they have many generalizations, including the notions of isonoetherian and isoartinian rin
Externí odkaz:
http://arxiv.org/abs/2402.06273
Autor:
Puthenpurakal, Tony J.
Let $A$ be a Noetherian ring and let $\mathcal{R} = \bigoplus_{n \geq 0}\mathcal{R}_n$ be a standard graded ring with $\mathcal{R}_0 = A$. We define a category $\mathfrak{A}(\mathcal{R})$ of graded $\mathcal{R}$-modules (not necessarily finitely gene
Externí odkaz:
http://arxiv.org/abs/2401.02751
Let $R$ be a commutative ring with identity and $S \subseteq R$ be a multiplicative set. An ideal $Q$ of $R$ (disjoint from $S$) is said to be $S$-primary if there exists an $s\in S$ such that for all $x,y\in R$ with $xy\in Q$, we have $sx\in Q$ or $
Externí odkaz:
http://arxiv.org/abs/2401.00922