Bi-amalgamated algebra with (n; p)-weakly clean like properties
Let f : A −→ B and g : A −→ C be two ring homomorphisms and let K and K′ be two ideals of B and C, respectively such that f −1(K) = g−1(K′). In this paper, we give a characterization for the bi-amalgamation of A with (B, C) along (K, K′) with respect to (f, g) (denoted by A ▷◁f,g (K, K′)) to be a (n...
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| Format: | Article |
| Language: | English |
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Accademia Piceno Aprutina dei Velati
2023-06-01
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| Series: | Ratio Mathematica |
| Subjects: | |
| Online Access: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/937 |
| _version_ | 1827907243723456512 |
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| author | A Aruldoss Selvaraj Chelliah |
| author_facet | A Aruldoss Selvaraj Chelliah |
| author_sort | A Aruldoss |
| collection | DOAJ |
| description | Let f : A −→ B and g : A −→ C be two ring homomorphisms and let K and K′ be two ideals of B and C, respectively such that f −1(K) = g−1(K′). In this paper, we give a characterization for the bi-amalgamation of A with (B, C) along (K, K′) with respect to (f, g) (denoted by A ▷◁f,g (K, K′)) to be a (n, p)-weakly clean ring. |
| first_indexed | 2024-03-13T01:06:35Z |
| format | Article |
| id | doaj.art-26e67809dede4b82b676a31d8de763a0 |
| institution | Directory Open Access Journal |
| issn | 1592-7415 2282-8214 |
| language | English |
| last_indexed | 2024-03-13T01:06:35Z |
| publishDate | 2023-06-01 |
| publisher | Accademia Piceno Aprutina dei Velati |
| record_format | Article |
| series | Ratio Mathematica |
| spelling | doaj.art-26e67809dede4b82b676a31d8de763a02023-07-06T05:58:59ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142023-06-0147010.23755/rm.v47i0.937740Bi-amalgamated algebra with (n; p)-weakly clean like propertiesA Aruldoss0Selvaraj Chelliah1Periyar University, Salem.Periyar University, Salem, IndiaLet f : A −→ B and g : A −→ C be two ring homomorphisms and let K and K′ be two ideals of B and C, respectively such that f −1(K) = g−1(K′). In this paper, we give a characterization for the bi-amalgamation of A with (B, C) along (K, K′) with respect to (f, g) (denoted by A ▷◁f,g (K, K′)) to be a (n, p)-weakly clean ring.http://eiris.it/ojs/index.php/ratiomathematica/article/view/937(np)-clean ring(np)- weakly clean ring |
| spellingShingle | A Aruldoss Selvaraj Chelliah Bi-amalgamated algebra with (n; p)-weakly clean like properties Ratio Mathematica (n p)-clean ring (n p)- weakly clean ring |
| title | Bi-amalgamated algebra with (n; p)-weakly clean like properties |
| title_full | Bi-amalgamated algebra with (n; p)-weakly clean like properties |
| title_fullStr | Bi-amalgamated algebra with (n; p)-weakly clean like properties |
| title_full_unstemmed | Bi-amalgamated algebra with (n; p)-weakly clean like properties |
| title_short | Bi-amalgamated algebra with (n; p)-weakly clean like properties |
| title_sort | bi amalgamated algebra with n p weakly clean like properties |
| topic | (n p)-clean ring (n p)- weakly clean ring |
| url | http://eiris.it/ojs/index.php/ratiomathematica/article/view/937 |
| work_keys_str_mv | AT aaruldoss biamalgamatedalgebrawithnpweaklycleanlikeproperties AT selvarajchelliah biamalgamatedalgebrawithnpweaklycleanlikeproperties |