On rings with the serial embedding property

L Tang - 2022 - search.proquest.com
… , Artinian serial rings are known as generalized uniserial rings and some… rings are known
as uniserial rings. These should not be confused with our definitions of uniserial and serial rings

On a theorem of Anderson and Chun

AR Aliabad, F Farrokhpay… - Rocky Mountain Journal of …, 2023 - projecteuclid.org
… Finally, we generalize a theorem of Anderson and Chun, … clean rings are local rings and
von Neumann regular rings. … A ring R is called a weak Baer ring (also known as a pp ring) if …

Generalized zero-divisor graph of -rings

A Lande, A Khairnar - arXiv preprint arXiv:2403.10161, 2024 - arxiv.org
… -ring in [13] and the definition of generalized Rickart ∗-ring in [5], in the second section we
introduce the generalized zero-… Shapiro, Zero-divisor graphs, von neumann regular rings, and …

A Baer-Kaplansky Theorem in additive categories

S Crivei, D Keskin Tütüncü, R Tribak - Ring Theory 2019 …, 2021 - World Scientific
… a von Neumann regular, right self-injective ring and idempotents lift modulo J(S) [21, 22.1].
Now let us consider the case of a perfect ring … Then S is a right cotorsion ring [11, Example 1]. …

[HTML][HTML] On the lattice of z-ideals of a commutative ring

O Ighedo, WW McGovern - Topology and its Applications, 2020 - Elsevier
… , that a ring with zero Jacobson radical is weak Baer if and … and that it is feebly Baer if and
only if RId ( A ) is feebly Baer. … [2] concern von Neumann regular rings and clean rings. The …

Specker algebras: a survey

G Bezhanishvili, PJ Morandi, B Olberding - … Processing Uncertainty: To the …, 2020 - Springer
… is termed the Baer-Specker group, so called because Baer [1… We recall that a generalized
Boolean algebra is a distributive … For this we recall that a ring A is a von Neumann regular ring

On rings with weak property (A) and their extensions

RK Sharma, AB Singh - Journal of Algebra and Its Applications, 2023 - World Scientific
… mial rings R[x], the class of Noetherian rings [23] and the rings whose classical ring of quotients
are Von Neumann regular. … [14] generalized the concept of Kronecker function rings from …

A reduction theorem for the existence of⁎-clean finite group rings

B Chen, J Huang - Finite Fields and Their Applications, 2020 - Elsevier
… Clean rings, originally introduced by Nicholson [11], can be viewed as an additive … regular
ring in which each element is a product of an idempotent and a unit. A ring R is called a ⁎-ring

Some remarks about the fusible property of noncommutative polynomial extensions

SD Higuera Rincón - repositorio.unal.edu.co
… define the Baer, quasi-Baer, pp and pq-Baer rings, extending … ], we study this generalization
of the associated primes and … C∗-algebras and von Neumann algebras. Large classes of …

When mutually epimorphic modules are isomorphic

N Dehghani, ST Rizvi - Journal of Algebra, 2021 - Elsevier
… In contrast, Kaplansky showed that if R is a Baer ⋆-ring and e , f … By Kaplansky's result, every
Baer ⋆-ring satisfies the SB … We note that over a generalized uniserial ring R, every quasi-…