Results 141 to 150 of about 1,334,146 (165)

An Application of Polycyclic Monoids to Rings

Semigroup Forum, 1998
The polycyclic inverse monoid \(P_\alpha\), where \(\alpha\) is countable, is the inverse monoid generated by the set \(\{p_i\mid 1\leq i\leq\alpha\}\) subject to the relations \(p_ip_j^{-1}=\delta_{ij}\). If \(\alpha=1\), this is the classical bicyclic monoid. It is shown that \(P_2\) contains a copy of \(P_n\) for every finite \(n\geq 2\). If \(P_n\)
Hines, P. M., Lawson, M. V.
openaire   +1 more source

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

The monoid rings that are Bezout domains

Archiv Der Mathematik, 1981
Père Menal
exaly   +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

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

Nilradicals of the unique product monoid rings

, 2017
A. Alhevaz, E. Hashemi, M. Ziembowski
semanticscholar   +1 more source

The McCoy condition on skew monoid rings

, 2017
K. Paykan, A. Moussavi
semanticscholar   +1 more source

Monoid rings which are valuation rings

Communications in Algebra, 1983
Jack Ohm, Paul Vicxnair
openaire   +1 more source

General w-ZPI-Rings and a Tool for Characterizing Certain Classes of Monoid Rings

Communications in Algebra, 2023
Jason Juett
exaly