Results 21 to 30 of about 2,473 (265)

Ozone Groups and Centers of Skew Polynomial Rings [PDF]

International mathematics research notices, 2023
We introduce the ozone group of a noncommutative algebra $A$, defined as the group of automorphisms of $A$, which fix every element of its center. In order to initiate the study of ozone groups, we study polynomial identity (PI) skew polynomial rings ...
K. Chan, Jason Gaddis, R. Won, James J. Zhang   +3 more
semanticscholar   +1 more source

Polynomial Identity Rings [PDF]

, 2004
Vesselin Drensky, Edward Formanek
openalex   +2 more sources

Differential polynomial rings over rings satisfying a polynomial identity [PDF]

, 2014
Jason P. Bell, Blake W. Madill, Forte Shinko   +2 more
openalex   +3 more sources

PRESIMPLIFIABLE AND WEAKLY PRESIMPLIFIABLE RINGS

Barekeng, 2023
Let  be a commutative ring with identity. Two elements   and b in   are called to be associates if  and , or equivalently, if . The generalization of associate relation in R has given the idea for definitions of presimplifiable and weakly presimplifiable
Deby Anastasya, Sri Wahyuni
doaj   +1 more source

Group rings satisfying a polynomial identity. II [PDF]

, 1971
D. S. Passman
openalex   +2 more sources

Rings with an integral element whose centralizer satisfies a polynomial identity

Duke Mathematical Journal, 1975
Martha K. Smith
openaire   +3 more sources

On Nonnil-S-Noetherian Rings

Mathematics, 2020
Let R be a commutative ring with identity, and let S be a (not necessarily saturated) multiplicative subset of R. We define R to be a nonnil-S-Noetherian ring if each nonnil ideal of R is S-finite.
Min Jae Kwon, Jung Wook Lim
doaj   +1 more source

Composite Hurwitz Rings as PF-Rings and PP-Rings

Mathematics, 2020
Let R ⊆ T be an extension of commutative rings with identity and H ( R , T ) (respectively, h ( R , T ) ) the composite Hurwitz series ring (respectively, composite Hurwitz polynomial ring).
Dong Kyu Kim, Jung Wook Lim
doaj   +1 more source

Polynomial identity rings as rings of functions [PDF]

, 2006
Zinovy Reichstein, Nikolaus Vonessen
openalex   +3 more sources

Involution on prime rings with endomorphisms

AIMS Mathematics, 2020
Let $\mathcal{R}$ be a prime ring with involution $'*'$ and $\psi: \mathcal{R} \rightarrow \mathcal{R}$ be an endomorphism on $\mathcal{R}$. In this article, we study the action of involution $'*',$ and the effect of endomorphism $\psi$ satisfying $[\psi(
Abdul Nadim Khan, Shakir Ali
doaj   +1 more source