Results 101 to 110 of about 310,219 (199)

A generalized version of the rings $C_K(X)$ and $C_\infty(X)$ - an enquery about when they become Noetherian

Applied General Topology, 2015
Suppose $F$ is a totally ordered field equipped with its order topology and $X$ a completely $F$-regular topological space. Suppose $\mathcal{P}$ is an ideal of closed sets in $X$ and $X$ is locally-$\mathcal{P}$.
Sudip Kumar Acharyya, Kshitish Chandra Chattopadhyay, Pritam Rooj   +2 more
doaj   +1 more source

ALMOST Q-RINGS [PDF]

, 2004
summary:In this paper we establish some new characterizations for $Q$-rings and Noetherian $Q ...
Jayaram, C., C. Jayaram
core   +1 more source

On the arithmetic of stable domains. [PDF]

Commun Algebra, 2021
Bashir A, Geroldinger A, Reinhart A.
europepmc   +1 more source

Filtered Products of Copies of Injective Modules

Axioms
We study the transfer of injectivity to filtered products of copies of an injective module. This leads to the introduction of a generalized Noetherian condition, the so-called (ℵ,M)-Noetherian rings. We prove that M is F-injective for every filter F with
Driss Bennis, Juan Ramón García Rozas, Maroua Mbarki, Luis Oyonarte   +3 more
doaj   +1 more source

Integer-valued polynomials on valuation rings of global fields with prescribed lengths of factorizations. [PDF]

Mon Hefte Math, 2023
Fadinger-Held V, Frisch S, Windisch D.
europepmc   +1 more source

Unlikely intersections on the p-adic formal ball. [PDF]

Res Number Theory, 2023
Serban V.
europepmc   +1 more source

When are the classes of Gorenstein modules (co)tilting?

Comptes Rendus. Mathématique
For the class of Gorenstein projective (resp. injective and flat) modules, we investigate and settle the questions when the middle class is tilting and the other ones are cotilting. The applications have in three directions.
Wang, Junpeng, Liu, Zhongkui, Zhao, Renyu   +2 more
doaj   +1 more source

On zero divisor graph of unique product monoid rings over Noetherian reversible ring [PDF]

Categories and General Algebraic Structures with Applications, 2016
Let $R$ be an associative ring with identity and $Z^*(R)$ be its set of non-zero zero divisors.  The zero-divisor graph of $R$, denoted by $Gamma(R)$, is the graph whose vertices are the non-zero  zero-divisors of  $R$, and two distinct vertices $r$ and $
Ebrahim Hashemi, Abdollah Alhevaz, Eshag Yoonesian   +2 more
doaj  

Pure subrings of Du Bois singularities are Du Bois singularities

Forum of Mathematics, Sigma
Let $R \to S$ be a cyclically pure map of Noetherian $\mathbb {Q}$ -algebras. In this paper, we show that if S has Du Bois singularities, then R has Du Bois singularities. Our result is new even when $R \to S$ is faithfully flat.
Charles Godfrey, Takumi Murayama
doaj   +1 more source

Strongly Hopfian subrings of power series rings

Mathematics Open
The main purpose of this paper is to study the transfer of the strongly Hopfian property to subrings of power series rings. Let A be a commutative ring with identity element and I an arbitrary ideal of A.
Abdelamir Dabbabi, Ali Benhissi
doaj   +1 more source