Amalgamated rings with m-nil clean properties
In this paper, we study the transfer of the notion of $m$-nil clean (i.e., a ring in which every element is a sum of a nilpotent and an $m$-potent elements) to the amalgamarted rings. We also find many sufficient and necessary conditions for the $m$-nil clean property to the amalgamated rings....
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Accademia Piceno Aprutina dei Velati
2023-12-01
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| Series: | Ratio Mathematica |
| Subjects: | |
| Online Access: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/1133 |
| _version_ | 1797371543930535936 |
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| author | Vijayanand Venkatachalam Selvaraj Chelliah |
| author_facet | Vijayanand Venkatachalam Selvaraj Chelliah |
| author_sort | Vijayanand Venkatachalam |
| collection | DOAJ |
| description | In this paper, we study the transfer of the notion of $m$-nil clean (i.e., a ring in which every element is a sum of a nilpotent and an $m$-potent elements) to the amalgamarted rings. We also find many sufficient and necessary conditions for the $m$-nil clean property to the amalgamated rings. |
| first_indexed | 2024-03-08T18:21:25Z |
| format | Article |
| id | doaj.art-238a54f5e2d6446f9c6d1c0752941c76 |
| institution | Directory Open Access Journal |
| issn | 1592-7415 2282-8214 |
| language | English |
| last_indexed | 2024-03-08T18:21:25Z |
| publishDate | 2023-12-01 |
| publisher | Accademia Piceno Aprutina dei Velati |
| record_format | Article |
| series | Ratio Mathematica |
| spelling | doaj.art-238a54f5e2d6446f9c6d1c0752941c762023-12-30T21:04:20ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142023-12-0148010.23755/rm.v48i0.1133827Amalgamated rings with m-nil clean propertiesVijayanand Venkatachalam0Selvaraj Chelliah1Periyar UniversityPeriyar UniversityIn this paper, we study the transfer of the notion of $m$-nil clean (i.e., a ring in which every element is a sum of a nilpotent and an $m$-potent elements) to the amalgamarted rings. We also find many sufficient and necessary conditions for the $m$-nil clean property to the amalgamated rings.http://eiris.it/ojs/index.php/ratiomathematica/article/view/1133clean ringnil-clean m-cleanm-nil cleanm-potent |
| spellingShingle | Vijayanand Venkatachalam Selvaraj Chelliah Amalgamated rings with m-nil clean properties Ratio Mathematica clean ring nil-clean m-clean m-nil clean m-potent |
| title | Amalgamated rings with m-nil clean properties |
| title_full | Amalgamated rings with m-nil clean properties |
| title_fullStr | Amalgamated rings with m-nil clean properties |
| title_full_unstemmed | Amalgamated rings with m-nil clean properties |
| title_short | Amalgamated rings with m-nil clean properties |
| title_sort | amalgamated rings with m nil clean properties |
| topic | clean ring nil-clean m-clean m-nil clean m-potent |
| url | http://eiris.it/ojs/index.php/ratiomathematica/article/view/1133 |
| work_keys_str_mv | AT vijayanandvenkatachalam amalgamatedringswithmnilcleanproperties AT selvarajchelliah amalgamatedringswithmnilcleanproperties |