Results 121 to 130 of about 8,071 (246)

Towards the boundary of the fine curve graph

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract The fine curve graph was introduced as a geometric tool to study homeomorphisms of surfaces. In this paper, we study the Gromov boundary of this space and the local topology near points associated with certain foliations and laminations. We then give several applications including finding dynamically explicit elements with positive stable ...
Jonathan Bowden, Sebastian Hensel, Richard Webb   +2 more
wiley   +1 more source

A commutative version of the group ring

We construct a commutative version of the group ring and show that it allows one to translate questions about the normal generation of groups into questions about the generation of ideals in commutative rings.
Mannan, W.H.
core  

The Bordalo order on a commutative ring

, 1999
summary:If $R$ is a commutative ring with identity and $\leq$ is defined by letting $a\leq b$ mean $ab=a$ or $a=b$, then $(R,\leq)$ is a partially ordered ring.
Smith, Frank A., Henriksen, Melvin, Smith, F. A.   +2 more
core  

Some countability conditions on commutative ring extensions

, 1981
If S S is a finitely generated unitary extension ring of the commutative ring R R , then S S cannot be expressed as the union of a strictly ascending sequence {
William Heinzer, Robert Gilmer
core   +1 more source

Thurston norm for coherent right‐angled Artin groups via L2$L^2$‐invariants

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract We define a new notion of splitting complexity for a group G$G$ along a non‐trivial integral character ϕ∈H1(G;Z)$\phi \in H^1(G; \mathbb {Z})$. If G$G$ is a one‐ended coherent right‐angled Artin group, we show that the splitting complexity along an epimorphism ϕ:G→Z$\phi \colon G \rightarrow \mathbb {Z}$ equals the L2$L^2$‐Euler characteristic
Monika Kudlinska
wiley   +1 more source

S-J-Ideals: A Study in Commutative and Noncommutative Rings

Journal of Mathematics
In this paper, we introduce the concept of S-J-ideals in both commutative and noncommutative rings. For a commutative ring R and a multiplicatively closed subset S, we show that many properties of J-ideals apply to S-J-ideals and examine their ...
Alaa Abouhalaka, Hatice Çay, Bayram Ali Ersoy   +2 more
doaj   +1 more source

Topics in commutative ring theory

, 2009
Topics in Commutative Ring Theory is a textbook for advanced undergraduate students as well as graduate students and mathematicians seeking an accessible introduction to this fascinating area of abstract algebra.Commutative ring theory arose more than a ...
Watkins, John J, Watkins, John J J
core  

ON SEMISIMPLE LEAVITT PATH ALGEBRAS OVER A COMMUTATIVE UNITAL RING [PDF]

, 2017
A finite acyclic graph always contains a sink, a vertex that does not emit edges. Any sink at the graph will generate minimal basic ideal of the Leavitt path algebra over a commutative unital ring. Moreover, the Leavitt path algebra on the finite acyclic
Wardati, Khurul
core  

Effect of Polynomial Identity x[x, y] = (x[x, y])n in the Commutativity of Rings

Journal of Mathematical Extension, 2009
. In this paper we study some sufficient conditions for commutativity of a ring according to Jacobsons’idea. Jacobson proved that if R is a ring satisfying x n = x (n > 1) for each x ∈ R, then R is commutative.
Z. Tabatabaei
doaj  

Localization and Flatness in Quantale Theory

Mathematics
The study of flat ring morphisms is an important theme in commutative algebra. The purpose of this article is to develop an abstract theory of flatness in the framework of coherent quantales.
George Georgescu
doaj   +1 more source