α-Skew π-McCoy Rings
As a generalization of α-skew McCoy rings, we introduce the concept of α-skew π-McCoy rings, and we study the relationships with another two new generalizations, α-skew π1-McCoy rings and α-skew π2-McCoy rings, observing the relations with α-skew McCoy rings, π-McCoy rings, α-skew Armendariz rings,...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/309392 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849304558085341184 |
|---|---|
| author | Areej M. Abduldaim Sheng Chen |
| author_facet | Areej M. Abduldaim Sheng Chen |
| author_sort | Areej M. Abduldaim |
| collection | DOAJ |
| description | As a generalization of α-skew McCoy rings, we introduce the concept of α-skew π-McCoy rings, and we study the relationships with another two new generalizations, α-skew π1-McCoy rings and α-skew π2-McCoy rings, observing the relations with α-skew McCoy rings, π-McCoy rings, α-skew Armendariz rings, π-regular rings, and other kinds of rings. Also, we investigate conditions such that α-skew π1-McCoy rings imply α-skew π-McCoy rings and α-skew π2-McCoy rings. We show that in the case where R is a nonreduced ring, if R is 2-primal, then R is an α-skew π-McCoy ring. And, let R be a weak (α,δ)-compatible ring; if R is an α-skew π1-McCoy ring, then R is α-skew π2-McCoy. |
| format | Article |
| id | doaj-art-3e10e0f209ed4848aaf7c07efc77b98c |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-3e10e0f209ed4848aaf7c07efc77b98c2025-08-20T03:55:41ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/309392309392α-Skew π-McCoy RingsAreej M. Abduldaim0Sheng Chen1Department of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaAs a generalization of α-skew McCoy rings, we introduce the concept of α-skew π-McCoy rings, and we study the relationships with another two new generalizations, α-skew π1-McCoy rings and α-skew π2-McCoy rings, observing the relations with α-skew McCoy rings, π-McCoy rings, α-skew Armendariz rings, π-regular rings, and other kinds of rings. Also, we investigate conditions such that α-skew π1-McCoy rings imply α-skew π-McCoy rings and α-skew π2-McCoy rings. We show that in the case where R is a nonreduced ring, if R is 2-primal, then R is an α-skew π-McCoy ring. And, let R be a weak (α,δ)-compatible ring; if R is an α-skew π1-McCoy ring, then R is α-skew π2-McCoy.http://dx.doi.org/10.1155/2013/309392 |
| spellingShingle | Areej M. Abduldaim Sheng Chen α-Skew π-McCoy Rings Journal of Applied Mathematics |
| title | α-Skew π-McCoy Rings |
| title_full | α-Skew π-McCoy Rings |
| title_fullStr | α-Skew π-McCoy Rings |
| title_full_unstemmed | α-Skew π-McCoy Rings |
| title_short | α-Skew π-McCoy Rings |
| title_sort | α skew π mccoy rings |
| url | http://dx.doi.org/10.1155/2013/309392 |
| work_keys_str_mv | AT areejmabduldaim askewpmccoyrings AT shengchen askewpmccoyrings |