Results 11 to 20 of about 59,280 (204)

Commutator rings [PDF]

open access: yesBulletin of the Australian Mathematical Society, 2006
A ring is called a commutator ring if every element is a sum of additive commutators. In this note we give examples of such rings. In particular, we show that given any ring R, a right R-module N, and a nonempty set Ω, EndR(⌖ΩN) and EndR(ΠΩN) are commutator rings if and only if either Ω is infinite or EndR(N) is itself a commutator ring.
openaire   +3 more sources

The Isomorphism Relation Between Tree-Automatic Structures [PDF]

open access: yes, 2010
An $\omega$-tree-automatic structure is a relational structure whose domain and relations are accepted by Muller or Rabin tree automata. We investigate in this paper the isomorphism problem for $\omega$-tree-automatic structures.
A. Blumensath   +17 more
core   +4 more sources

Resolution of Stringy Singularities by Non-commutative Algebras [PDF]

open access: yes, 2001
In this paper we propose a unified approach to (topological) string theory on certain singular spaces in their large volume limit. The approach exploits the non-commutative structure of D-branes, so the space is described by an algebraic geometry of non ...
Berenstein, David, Leigh, Robert G.
core   +2 more sources

Polyfunctions over commutative rings

open access: yesJournal of Algebra and Its Applications, 2022
A function [Formula: see text], where [Formula: see text] is a commutative ring with unit element, is called polyfunction if it admits a polynomial representative [Formula: see text]. Based on this notion, we introduce ring invariants which associate to [Formula: see text] the numbers [Formula: see text] and [Formula: see text], where [Formula: see ...
Specker, Ernst   +2 more
openaire   +2 more sources

Two New Types of Rings Constructed from Quasiprime Ideals

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
Keigher showed that quasi-prime ideals in differential commutative rings are analogues of prime ideals in commutative rings. In that direction, he introduced and studied new types of differential rings using quasi-prime ideals of a differential ring.
Manal Ghanem, Hassan Al-Ezeh
doaj   +1 more source

An historical overview of Kronecker function rings, Nagata rings, and related star and semistar operations [PDF]

open access: yes, 2006
An historical overview of Kronecker function rings, Nagata rings, and related star and semistar operationsComment: "Multiplicative Ideal Theory in Commutative Algebra: A tribute to the work of Robert Gilmer", Jim Brewer, Sarah Glaz, William Heinzer ...
Fontana, Marco, Loper, K. Alan
core   +4 more sources

Isomorphism of generalized triangular matrix-rings and recovery of tiles

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2003
We prove an isomorphism theorem for generalized triangular matrix-rings, over rings having only the idempotents 0and 1, in particular, over indecomposable commutative rings or over local rings (not necessarily commutative).
R. Khazal, S. Dăscălescu, L. Van Wyk
doaj   +1 more source

Continuous functions with compact support

open access: yesApplied General Topology, 2004
The main aim of this paper is to investigate a subring of the ring of continuous functions on a topological space X with values in a linearly ordered field F equipped with its order topology, namely the ring of continuous functions with compact support ...
Sudip Kumar Acharyya   +2 more
doaj   +1 more source

Good tilting modules and recollements of derived module categories [PDF]

open access: yes, 2010
Let $T$ be an infinitely generated tilting module of projective dimension at most one over an arbitrary associative ring $A$, and let $B$ be the endomorphism ring of $T$.
Chen, Hongxing, Xi, Changchang
core   +1 more source

On the Commutative Rings with At Most Two Proper Subrings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2016
The commutative rings with exactly two proper (unital) subrings are characterized. An initial step involves the description of the commutative rings having only one proper subring.
David E. Dobbs
doaj   +1 more source

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