Results 151 to 160 of about 680,359 (176)

The monoid rings that are Bezout domains

Archiv Der Mathematik, 1981
Père Menal
exaly   +2 more sources

On rigid monoids and 2-fir monoid rings

Communications in Algebra, 1992
It is proved that the universal group of a torsion free rigid monoid is torsion free. As a consequence, a new condition on a monoid M for the monoid ring R[M] to be a 2-fir is given. Furthermore, the monoids between a rigid monoid and its universal group are studied.
Ferran CedÓ, Andreu Pitarch
openaire   +1 more source

On Semihereditary and p.p. Monoid Rings

Semigroup Forum, 2001
The paper gives a criterion for a monoid ring \(R[S]\) (\(R\) a ring with identity, \(S\) a monoid with some additional properties) to be a left semihereditary ring.
Gonzalez Pelaez, M., Teply, M. L.
openaire   +2 more sources

On the sum of annihilators in Monoid rings

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ebrahim Hashemi, Mahsa Paykanian
openaire   +2 more sources

On the complete radical of a monoid ring

Herald of Omsk University, 2017
For an associative ring A and monoid M, we study the problem of finding thecomplete radical C(AM) of the semigroup ring AM. For the case when M has a non-trivial ideal <i>I</i>, and 𝐼² ≠ <i>I</i> for any such <i>I</i>, we prove that C(AM) has the strong Amitsur property, namely, C(A[x])= C(A)[x]
openaire   +1 more source

Hereditary Monoid Rings

American Journal of Mathematics, 1982
Cheng, Charles Ching-An, Wong, Roman W.
openaire   +1 more source

McCoy Rings Relative to a Monoid

Communications in Algebra, 2010
For a monoid M, we introduce M-McCoy rings, which are a generalization of McCoy rings and M-Armendariz rings; and investigate their properties. We first show that all reversible rings are right M-McCoy, where M is a u.p.-monoid. We also show that all right duo rings are right M-McCoy, where M is a strictly totally ordered monoid.
openaire   +1 more source

ARMENDARIZ RINGS RELATIVE TO A MONOID

Communications in Algebra, 2005
ABSTRACT For a monoid M, we introduce M-Armendariz rings, which are generalizations of Armendariz rings; and we investigate their properties. Every reduced ring is M-Armendariz for any unique product monoid M. We show that if R is a reduced and M-Armendariz ring, then R is M × N-Armendariz, where N is a unique product monoid.
openaire   +1 more source

Monoid rings and related topics

1998
Let ϕ be an injective endomorphism of a ring A. We denote by Al[[x, ϕ] the left skew (power) series ring consisting of formal series \( \sum\nolimits_{1 = 0}^\infty {a_i x^i }\) of the variable x with canonical coefficients ai ∈ A,where addition is defined naturally and multiplication is defined by the rule xi a = ϕ i(a)xi.
openaire   +1 more source

A characterization of weakly Krull monoid algebras

Journal of Algebra, 2022
Daniel Windisch, Víctor Fadinger
exaly