Results 21 to 30 of about 1,334,146 (165)

Unimodular rows over monoid extensions of overrings of polynomial rings [PDF]

Journal of Commutative Algebra, 2021
Let $R$ be a commutative Noetherian ring of dimension $d$ and $M$ a commutative cancellative torsion-free seminormal monoid. Then (1) Let $A$ be a ring of type $R[d,m,n]$ and $P$ be a projective $A[M]$-module of rank $r \geq max\{2,d+1\}$.
M. A. Mathew, M. Keshari
semanticscholar   +1 more source

Unimodular rows over monoid rings [PDF]

Advances in Mathematics, 2017
For a commutative Noetherian ring R of dimension d and a commutative cancellative monoid M, the elementary action on unimodular n-rows over the monoid ring R[M] is transitive for n>=max(d+2,3).
J. Gubeladze
semanticscholar   +1 more source

SOLVING DIFFERENCE EQUATIONS IN SEQUENCES: UNIVERSALITY AND UNDECIDABILITY

Forum of Mathematics, Sigma, 2020
We study solutions of difference equations in the rings of sequences and, more generally, solutions of equations with a monoid action in the ring of sequences indexed by the monoid. This framework includes, for example, difference equations on grids (for
GLEB POGUDIN, THOMAS SCANLON, MICHAEL WIBMER   +2 more
doaj   +1 more source

On the Monoid of Unital Endomorphisms of a Boolean Ring [PDF]

Axioms, 2021
Let X be a nonempty set and P(X) the power set of X. The aim of this paper is to provide an explicit description of the monoid End1P(X)(P(X)) of unital ring endomorphisms of the Boolean ring P(X) and the automorphism group Aut(P(X)) when X is finite. Among other facts, it is shown that if X has cardinality n≥1, then End1P(X)(P(X))≅Tnop, where Tn is the
Bana Al Subaiei, Noômen Jarboui
openaire   +2 more sources

A fresh look into monoid rings and formal power series rings [PDF]

Journal of Algebra and its Applications, 2017
In this paper, the ring of polynomials is studied in a systematic way through the theory of monoid rings. As a consequence, this study provides canonical approaches in order to find easy and rigorous proofs and methods for many facts on polynomials and ...
A. Tarizadeh
semanticscholar   +1 more source

On Crossed Product Rings Over p.q.-Baer and Quasi-Baer Rings

International Journal of Analysis and Applications, 2023
In this paper, we consider a ring R and a monoid M equipped with a twisting map f: M×M -> U(R) and an action map ω: M -> Aut(R). The main objective of our study is to investigate the conditions under which the crossed product structure R⋊M is p.q.-Baer ...
Eltiyeb Ali
doaj   +1 more source

Simplicity of Ore monoid rings [PDF]

Journal of Algebra, 2017
Given a non-associative unital ring R, a monoid G and a set π of additive maps R→R, we introduce the Ore monoid ring R[π;G], and, in a special case, the differential monoid ring.
Patrik Nystedt, Johan Öinert, J. Richter   +2 more
semanticscholar   +1 more source

The X[[S]]-Sub-Exact Sequence of Generalized Power Series Rings

Al-Jabar, 2020
Let  be a ring,  a strictly ordered monoid, and K, L, M are R-modules. Then, we can construct the Generalized Power Series Modules (GPSM) K[[S]], L[[S]], and M[[S]], which are the module over the Generalized Power Series Rings (GPSR) R[[S]].
Wesly Agustinus Pardede, Ahmad Faisol, Fitriani Fitriani   +2 more
doaj   +1 more source

ON SKEW GENERALIZED TRIANGULAR MATRIX RINGS [PDF]

Journal of Algebraic Systems
In this article, we study skew monoid rings in which the monoid used in their structure is a quotient of a free monoid. We study annihilator conditions of them and describe conditions for transferring some properties from the base ring $R$ to these ...
Mohammad Habibi, Kamal Paykan
doaj   +1 more source

Elementary Action of Classical Groups on Unimodular Rows Over Monoid Rings [PDF]

Transformation groups
The elementary action of symplectic and orthogonal groups on unimodular rows of length $2n$ is transitive for $2n \geq \max(4, d+2)$ in the symplectic case, and $2n \geq \max(6, 2d+4)$ in the orthogonal case, over monoid rings $R[M]$, where $R$ is a ...
Rabeya Basu, M. A. Mathew
semanticscholar   +1 more source