Results 151 to 160 of about 307,522 (161)

Polynomial Rings Over Weak Armendariz Rings need not be Weak Armendariz

Communications in Algebra, 2014
It is proved that there exists a weak Armendriz ring R over which the polynomial ring R[x] is not weak Armendariz. This answers an open question of Liu and Zhao in 2006 in the negative, and eliminates the misunderstanding of the question having a positive solution by Hashemi in 2008.
openaire   +1 more source

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
openaire   +1 more source

On Lie and Jordan Armendariz Rings

Ricerche Di Matematica
Shervin Sahebi
exaly   +2 more sources

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.
openaire   +1 more source

Nil-Armendariz Rings Relative to a Monoid

Mediterranean Journal of Mathematics, 2013
Ebrahim Hashemi
exaly  

Z -Armendariz Rings and Modules

Vietnam Journal of Mathematics, 2020
Habib Sharif, Afshin Amini, Babak Amini
exaly  

Quasi-Armendariz Rings Relative to a Monoid

Communications in Algebra, 2008
Zhongkui Liu
exaly  

Ore Extensions of Skew Armendariz Rings

Communications in Algebra, 2008
A R Nasr-Isfahani
exaly  

On Monoid Rings Over Nil Armendariz Ring

Communications in Algebra, 2014
Abdollah Alhevaz
exaly  

Nil 3-Armendariz Rings

Advances in Pure Mathematics, 2013
exaly