Results 151 to 160 of about 306 (165)

Armendariz group rings

Communications in Algebra, 2016
ABSTRACTFor a torsion or torsion-free group G and a field F, we characterize the group algebra FG that is Armendariz. Armendariz property for a group ring over a general ring R is also studied and related to those of Abelian group rings and the quaternion ring over R.
Liu Yang, Xiankun Du
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$\mathcal {Z}$-Armendariz Rings and Modules

Vietnam Journal of Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nejadzadeh, Afsaneh, Amini, Afshin, Amini, Babak, Sharif, Habib   +3 more
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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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Quasi-central Armendariz rings

Journal of Algebra and Its Applications, 2020
A ring [Formula: see text] is said to be quasi-central Armendariz if [Formula: see text] and [Formula: see text] satisfy [Formula: see text] then [Formula: see text] for all [Formula: see text] and [Formula: see text]. It is proved that if [Formula: see text] is a quasi-central Armendariz ring then [Formula: see text] implies that all [Formula: see ...
Liu, Yufeng, Chen, Weixing
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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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π-Armendariz rings relative to a monoid

Frontiers of Mathematics in China, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Yao, Jiang, Meimei, Ren, Yanli
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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, E Hashemi
exaly  

A NOTE ON SKEW ARMENDARIZ RINGS

Communications in Algebra, 2005
Wenting Tong
exaly  

SOME EXAMPLES OF QUASI-ARMENDARIZ RINGS

Bulletin of the Korean Mathematical Society, 2007
Ebrahim Hashemi, Hashemi Ebrahim
exaly