Results 11 to 20 of about 302,599 (161)

Noetherian properties in monoid rings [PDF]

Journal of Pure and Applied Algebra, 2003
Let \(R\) be a commutative unitary ring, \(M\) a commutative monoid, and \(S = R[M]\) the monoid ring. Recall that \(S\) is said to be gr-Noetherian if every homogeneous ideal of \(S\) is finitely generated. Moreover, \(\text{Spec}(S)\) is said to be Noetherian if \(S\) satisfies the ascending chain condition (ACC) on radical ideals, and \(\text{h-Spec}
Rush, David E.
openaire   +3 more sources

Relating rewriting techniques on monoids and rings: congruences on monoids and ideals in monoid rings [PDF]

Theoretical Computer Science, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Madlener, Klaus, Reinert, Birgit
openaire   +3 more sources

Simplicity of Ore monoid rings [PDF]

Journal of Algebra, 2019
16 pages.
Patrik Nystedt, Johan Öinert, Johan Richter   +2 more
openaire   +3 more sources

On semifir monoid rings [PDF]

Publicacions Matemàtiques, 1989
We give a new condition on a monoid M for the monoid ring F[M] to be a 2-fir. Futhermore, we construct a monoid M that satisfies all the currently known necessary conditions for F[M] to be a semifir and that the group of units ofM is trivial, but M is not a directed union of free monoids.
Cedó, Ferran, F. Cedó
openaire   +6 more sources

Quasi-Armendariz rings relative to a monoid [PDF]

Journal of Pure and Applied Algebra, 2007
Let \(M\) be a monoid. An associative ring \(R\) with an identity is called \(M\)-quasi-Armendariz if for any two elements \(a=a_1g_1+\cdots+a_ng_n\) and \(b=b_1h_1+\cdots+b_kh_k\), \(a_i,b_j\in R\), \(g_i,h_j\in M\), of the semigroup ring \(R[M]\) such that \(aR[M]b=0\) it follows that \(a_iRb_j=0\) for all \(i,j\).
Hashemi, Ebrahim
openaire   +3 more sources

On seminormal monoid rings [PDF]

Journal of Algebra, 2006
Given a seminormal affine monoid M we consider several monoid properties of M and their connections to ring properties of the associated affine monoid ring K[M] over a field K. We characterize when K[M] satisfies Serre's condition (S_2) and analyze the local cohomology of K[M].
Bruns, Winfried, Li, Ping, Römer, Tim
openaire   +4 more sources

The isomorphism problem for monoid rings of rank 2 monoids [PDF]

Journal of Pure and Applied Algebra, 1995
Let \(R\) be a commutative ring with identity, \(M\) a finitely generated submonoid of \(\mathbb{Z}^2\), and \(N\) an arbitrary monoid. The main result of this paper is that the monoids \(M\) and \(N\) are isomorphic if (and only if) their corresponding monoid rings \(R[M]\) and \(R[N]\) are isomorphic as \(R\)-algebras. This proof is accomplished by a
Gubeladze, Joseph
openaire   +2 more sources

MONOID RINGS AND STRONGLY TWO-GENERATED IDEALS [PDF]

, 2014
This paper determines whether monoid rings with the two-generator property have the strong two-generator property. Dedekind domains have both the two-generator and strong two-generator properties. How common is this?
Salt, Brittney M
core   +8 more sources

TRIANGULAR MATRIX REPRESENTATIONS OF SKEW MONOID RINGS [PDF]

, 2010
Let R be a ring and S a u.p.-monoid. Assume that there is a monoid homomorphism α : S → Aut (R). Suppose that α is weakly　rigid and lR(Ra) is pure as a left ideal of R for every element a ∈ R.
Zhongkui, Liu, Xiaoyan, Yang
core   +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