Results 141 to 150 of about 302,599 (161)

π-Armendariz rings relative to a monoid

Frontiers of Mathematics in China, 2016
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Wang, Yao, Jiang, Meimei, Ren, Yanli
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Associated Graded Rings for Numerical Monoid Rings [PDF]

, 2022
Numerical monoids, i.e., the additive submonoids of non-negative integers with finite complement, are central objects of study at the crossroads of combinatorics, additive number theory, and commutative algebra.
Curtis Marshall Olinger
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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]
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Hereditary Monoid Rings

American Journal of Mathematics, 1982
Cheng, Charles Ching-An, Wong, Roman W.
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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.
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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.
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General w-ZPI-Rings and a Tool for Characterizing Certain Classes of Monoid Rings

Communications in Algebra, 2023
Jason Juett
exaly  

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.
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Unique factorization properties in commutative monoid rings with zero divisors

Semigroup Forum, 2021
Christopher Park Mooney
exaly  

Unimodular rows over monoid extensions of overrings of polynomial rings

Journal of Commutative Algebra, 2022
Manoj K Keshari
exaly