In this paper, the concept of e− CNZ rings is introduced as a generalization of symmetric rings and a particular case of e− reversible rings. Regarding the question of how idempotent elements affect CNZ property of rings. In this note, we show that e− CNZ is not left-right symmetric. We present examples of right e− CNZ rings that are not CNZ and basic properties of right e− CNZ are provided. Some subrings of matrix rings and some extensions of rings such as Jordan extension are investigated in terms of right e− CNZ.
2022-04
General Letters in Mathematics (GLM)
(Issue : 1)
(Volume : 12)
Extensions of Nil-Reversible Rings with an Endomorphism 𝛼
The concept of an 𝛼 − nil reversible ring is a generalization of 𝛼 − reversible ring as well as an extension of nil reversible
rings. We first consider basic properties of 𝛼 − nil reversible rings. Then we investigate extensions of 𝛼 − nil reversible, including
trivial extension, Dorroh extension and Jordan extension.
2022-03
Thesis
2023-02-05
Nil-Reversible Rings with an Endomorphism 𝛼 and CNZ Rings via Idempotent Elements
Nil-Reversible Rings with an Endomorphism 𝛼 and CNZ Rings via Idempotent Elements
2023
Training Course
2023-08-15,2024-02-26
Pedagogical Training Course
Pedagogical Training Course- for Teacher Professional Development
2023
2021-09-01,2021-10-14
English Language Proficiency course
English Language Proficiency course with Pre-Intermediate level
