Results 1 to 10 of about 1,334,127 (146)
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 ...
J. Cheon, Jin-A Kim
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On Monoid Rings Over Nil Armendariz Ring
Communications in Algebra, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdollah Alhevaz
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Galois orders in skew monoid rings
Journal of Algebra, 2010 The paper deals with ring extensions \(\Gamma\subset U\) of an integral domain \(\Gamma\), in particular, a general class of subrings of invariants in twisted Galois semigroup rings which the authors call Galois orders. The study of such Galois orders is inspired by the authors' previous work on Harish-Chandra categories [Fibers of characters in Harish-
Vyacheslav Futorny
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Skew ring extensions and generalized monoid rings
Acta Mathematica Hungarica, 2018 A D-structure on a ring A with identity is a family of self-mappings indexed by the elements of a monoid G and subject to a long list of rather natural conditions. The mappings are used to define a generalization of the monoid algebra A[G].
E. Cojuhari, B. Gardner
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Irreducibility and Factorizations in Monoid Rings [PDF]
Numerical Semigroups, 2019 For an integral domain $R$ and a commutative cancellative monoid $M$, the ring consisting of all polynomial expressions with coefficients in $R$ and exponents in $M$ is called the monoid ring of $M$ over $R$.
F. Gotti
semanticscholar +4 more sources
FOR WHICH PUISEUX MONOIDS ARE THEIR MONOID RINGS OVER FIELDS AP?
International Electronic Journal of Algebra, 2020 We characterize the Puiseux monoids $M$ for which the irreducible and the prime elements in the monoid ring $F[X;M]$, where $F$ is a field, coincide. We present a diagram of implications between some types of Puiseux monoids, with a precise position of ...
Ryan Gipson, H. Kulosman
semanticscholar +5 more sources
Theoretical Computer Science, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
K. Madlener, B. Reinert
semanticscholar +3 more sources
On seminormal monoid rings [PDF]
Journal of Algebra, 2005 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.
W. Bruns, Ping Li, Tim Roemer
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Journal of Algebra, 2004 Given an action of a monoid $T$ on a ring $A$ by ring endomorphisms, and an Ore subset $S$ of $T$, a general construction of a fractional skew monoid ring $S^{\rm op} * A * T$ is given, extending the usual constructions of skew group rings and of skew semigroup rings.
Enrique Pardo, K R Goodearl, P Ara
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ON ANNIHILATIONS OF IDEALS IN SKEW MONOID RINGS
Journal of the Korean Mathematical Society, 2016 According to Jacobson (31), a right ideal is bounded if it con- tains a non-zero ideal, and Faith (15) called a ring strongly right bounded if every non-zero right ideal is bounded.
Ahmad Moussavi, Masoome Zahiri
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