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Nilpotent elements and Armendariz rings [PDF]

Journal of Algebra, 2008
We study the structure of the set of nilpotent elements in Armendariz rings and introduce nil-Armendariz as a generalization. We also provide some new examples by proving that if D is a K-algebra and n⩾2, the coproduct D∗KK〈x|xn=0〉 is Armendariz if and ...
Ramon Antoine
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Nilpotent elements and nil-Armendariz property of skew generalized power series rings

Asian-European Journal of Mathematics, 2016
Let [Formula: see text] be a ring, [Formula: see text] a strictly ordered monoid, and [Formula: see text] a monoid homomorphism. The skew generalized power series ring [Formula: see text] is a common generalization of (skew) polynomial rings, (skew) power series rings, (skew) Laurent polynomial rings, (skew) group rings, and Mal’cev–Neumann Laurent ...
Paykan, Kamal, Moussavi, Ahmad
openaire   +1 more source

Nil-Armendariz Rings Relative to a Monoid

Mediterranean Journal of Mathematics, 2012
Ebrahim Hashemi
exaly   +2 more sources

A note on nil power serieswise Armendariz rings

Rendiconti Del Circolo Matematico Di Palermo, 2010
, Sana Hizem
exaly  

Nil-Armendariz Condition on Skew Generalized Power Series Rings

Iranian Journal of Science and Technology, Transaction A: Science, 2017
Raoufeh Manaviyat
exaly  

Nil Armendariz rings of Hurwitz series type 1

Sabzipour, Kianoosh, Haj Seyyed Javadi, Hamid   +1 more
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On Monoid Rings Over Nil Armendariz Ring

Communications in Algebra, 2014
Abdollah Alhevaz
exaly  

ON NIL GENERALIZED POWER SERIESWISE ARMENDARIZ RINGS

Communications of the Korean Mathematical Society, 2013
Jinwang Liu
exaly  

A note on lower nil M-Armendariz rings

Cogent Mathematics & Statistics, 2018
Om Prakash, Om Prakash
exaly