Results 131 to 140 of about 187 (161)

The global dimension of a trace monoid ring [PDF]

Semigroup Forum, 2010
Given a set \(E\) and an irreflexive, symmetric binary relation \(I\subset E\times E\) on \(E\) (\(\forall e\in E\,\, (e,e)\notin I\) and \((a,b)\in I\Rightarrow (b,a)\in I\)), the monoid generated by \(E\) and relations \(ab=ba, (a,b)\in I\) is called the free partially commutative monoid or trace monoid and is denoted by \(M(E,I)\).
Ahmet Husainov
exaly   +3 more sources

Some of the next articles are maybe not open access.

Related searches:

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

π-Armendariz rings relative to a monoid

Frontiers of Mathematics in China, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yanli Ren, Ren Yanli
exaly   +2 more sources

PRIME RADICALS IN UP-MONOID RINGS [PDF]

Bulletin of the Korean Mathematical Society, 2012
A monoid \(G\) is a `unique product monoid' (up-monoid) if for any two nonempty finite subsets \(A\) and \(B\) of \(G\), there is at least one \(c\in G\) which has a unique representation as \(c=ab\) with \(a\in A\) and \(b\in B\). Here the authors study the relationships between nil-related properties of a ring and those of the monoid ring \(RG ...
Cheon, Jeoung Soo, Kim, Jin-A
exaly   +3 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

Skew ring extensions and generalized monoid rings

Acta Mathematica Hungarica, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cojuhari, E. P., Gardner, B. J.
exaly   +3 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