4 papers
math.RA2024
Element absorb Topology on rings
Ali Shahidikia
In this paper, we introduce a new Topology related to special elements in a noncummutative rings. Consider a ring , we denote by the set of all idempotent eleme…
math.AC2024
Prime and maximal ideals in Hurwitz polynomial rings
Ali Shahidikia
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…
math.RA2024
Artinian rings which are not generalized Rickart
Ali Shahidikia
In this note, we show that there exist non-unital right artinian rings which are not generalized Rickart. In particular, we provide examples to show that, [16, Corollary 2.31] is n…
math.AC2023
Strongly primeness of skew Hurwitz polynomial rings
Ali Shahidikia
For a ring R and an endomorphism α of R, we characterize the left and right strongly primeness of skew Hurwitz polynomial ring (hR, α).