We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Extension of Almost Primary Ideals to Noncommutative Rings and the Generalization of Nilary Ideals.
- Authors
Abouhalaka, Alaa; Fındık, Şehmus
- Abstract
In this paper, we introduce the concepts of almost right primary ideals and almost nilary ideals and study their related results. We compare almost right primary ideals with other types of ideals, such as right primary ideals and weakly right primary ideals, and investigate their forms in decomposable rings. Moreover, we study the prime radical of an ideal of the product rings. Finally, we provide a definition of fully almost right primary rings and demonstrate that the homomorphic image of a fully almost right primary ring is again a fully almost right primary ring. We also investigate the quotient structure of fully almost right primary rings.
- Subjects
NONCOMMUTATIVE rings; PRIME ideals; GENERALIZATION
- Publication
Mathematics (2227-7390), 2023, Vol 11, Issue 8, p1917
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math11081917