Results 151 to 160 of about 300,701 (162)

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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On skew Hurwitz serieswise Armendariz rings

Asian-European Journal of Mathematics, 2014
For a ring endomorphism α, we introduce and investigate skew Hurwitz serieswise Armendariz (or SHA) rings which are a generalization of α-rigid rings and determine the radicals of the skew Hurwitz series ring (HR, α), in terms of those of R. We prove that several properties transfer between R and the extensions, in case R is an SHA-ring.
Ahmadi, M., Moussavi, A., Nourozi, V.
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On *-Skew *-Armendariz *-Rings

International Science and Technology Journal
A ring R is called α-*-skew *-Armendariz*-rings if whenever the polynomials p=∑_(i=0)^m▒〖a_i x^i 〗 and q=∑_(j=0)^n▒a_j x^j ∈ R[x,α] satisfy p(x)q(x) = p(x)q^* (x) = 0, then a_i α^j (b_j )= 0 for all i,j (consequently a_i α^j (b_j^* )= 0 ), which is a proper generalization of reduced*-rings.
Basma M. ELgamudi, Fatma A. Hamad
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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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Nil-Armendariz Rings Relative to a Monoid

Mediterranean Journal of Mathematics, 2012
Ebrahim Hashemi
exaly  

ON (α, δ)-SKEW ARMENDARIZ RINGS

Journal of the Korean Mathematical Society, 2005
Ahmad Moussavi
exaly  

SOME EXAMPLES OF QUASI-ARMENDARIZ RINGS

Bulletin of the Korean Mathematical Society, 2007
Ebrahim Hashemi
exaly  

WEAK α-SKEW ARMENDARIZ RINGS

Journal of the Korean Mathematical Society, 2010
exaly  

Nil 3-Armendariz Rings

Advances in Pure Mathematics, 2013
exaly  

Varieties of rings, where all subdirectly irreducible finite rings are Armendariz ones

Russian Mathematics, 2009
exaly