Artinian rings which are not generalized Rickart

A Shahidikia - arXiv preprint arXiv:2404.17537, 2024 - arxiv.org
arXiv:2404.17537v1 [math.RA] 26 Apr 2024 Page 1 arXiv:2404.17537v1 [math.RA] 26 Apr
2024 ARTINIAN RINGS WHICH ARE NOT GENERALIZED RICKART ALI SHAHIDIKIA …

Element absorb Topology on rings

A Shahidikia - arXiv preprint arXiv:2408.03300, 2024 - arxiv.org
In this paper, we introduce a new Topology related to special elements in a noncummutative
rings. Consider a ring $ R $, we denote by $\textrm {Id}(R) $ the set of all idempotent …

Prime and maximal ideals in Hurwitz polynomial rings

A Shahidikia - arXiv preprint arXiv:2407.15444, 2024 - arxiv.org
In this paper we study prime and maximal ideals in a Hurwitz polynomial ring hR. It is well-
known that to study many questions we may assume R is prime and consider just R-disjoint …