Results 11 to 20 of about 1,200,355 (273)

A Note on Weakly Semiprime Ideals and Their Relationship to Prime Radical in Noncommutative Rings

Journal of Mathematics
In this paper, we introduce the concept of weakly semiprime ideals and weakly n-systems in noncommutative rings. We establish the equivalence between an ideal P being a weakly semiprime ideal and R−P being a weakly n-system.
Alaa Abouhalaka
doaj   +2 more sources

The lattice of submodules of a module over a noncommutative ring [PDF]

, 1956
E. Feller
semanticscholar   +2 more sources

Birational rowmotion on a rectangle over a noncommutative ring [PDF]

Combinatorial Theory, 2022
We extend the periodicity of birational rowmotion for rectangular posets to the case when the base field is replaced by a noncommutative ring (under appropriate conditions). This resolves a conjecture from 2014.
Darij Grinberg, Tom Roby
semanticscholar   +1 more source

THE REGULAR GRAPH OF A NONCOMMUTATIVE RING [PDF]

Bulletin of the Australian Mathematical Society, 2013
S. Akbari, F. Heydari
semanticscholar   +2 more sources

The shadows and observational appearance of a noncommutative black hole surrounded by various profiles of accretions

Nuclear Physics B, 2022
The accretion around the black hole plays a pivotal role in the theoretical analysis of black hole shadow, and of the black hole observation in particular.
Xiao-Xiong Zeng, Guo-Ping Li, Ke-Jian He
doaj   +1 more source

1-absorbing and weakly 1-absorbing prime submodules of a module over a noncommutative ring

Afrika Matematika, 2023
In this study, we aim to introduce the concepts of 1-absorbing prime submodules and weakly 1-absorbing prime submodules of a unital module over a noncommutative ring with nonzero identity.
N. Groenewald
semanticscholar   +1 more source

NONCOMMUTATIVE HILBERT RINGS [PDF]

Journal of Algebra and Its Applications, 2004
Commutative rings in which every prime ideal is the intersection of maximal ideals are called Hilbert (or Jacobson) rings. This notion was extended to noncommutative rings in two different ways by the requirement that prime ideals are the intersection of maximal or of maximal left ideals, respectively.
Kaučikas, Algirdas, Wisbauer, Robert
openaire   +1 more source

A Note on Amalgamated Rings Along an Ideal

Annales Mathematicae Silesianae, 2021
Ring properties of amalgamated products are investigated. We offer new, elementary arguments which extend results from [5] and [12] to noncommutative setting and also give new properties of amalgamated rings.
Nowakowska Marta
doaj   +1 more source

On S-principal right ideal rings

AIMS Mathematics, 2022
Let S be a multiplicative subset of a ring R. A right ideal A of R is referred to as S-principal if there exist an element s∈S and a principal right ideal aR of R such that As⊆aR⊆A.
Jongwook Baeck
doaj   +1 more source

Almost prime ideals in noncommutative rings [PDF]

Serdica Mathematical Journal, 2022
A proper ideal \(P\) of a commutative ring with identity is an almost prime ideal if \(ab \in P{\setminus}P^2\) implies \(a \in P\) or \(b \in P\).
Alaa Abouhalaka, Şehmus Fındık
semanticscholar   +1 more source