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http://localhost:80/xmlui/handle/123456789/7403| Title: | Retractive nil-extensions of completely simple semirings |
| Other Titles: | (In) Quasigroups and Related Systems |
| Authors: | Maity, Sunil Kumar Chatterjee, Rumpa Ghosh, Rituparna |
| Keywords: | ideal extension, nil-extension completely Archimedean semiring, completely sim- ple semiring, retractive nil-extension, b-lattice of skew-rings, quasi skew-ring |
| Issue Date: | 2018 |
| Publisher: | Research Gate |
| Series/Report no.: | Vol : 26; |
| Abstract: | A semiring S is said to be a quasi completely regular semiring if for any a 2 S there exists a positive integer n such that na is completely regular. The study of completely Archimedean semirings have shown that completely Archimedean semirings are nil-extensions of completely simple semirings. In this paper we introduce retractive nil-extensions of completely simple semirings and establish a relation with completely Archimedean semirings. |
| URI: | http://172.16.0.4:8085/heritage/handle/123456789/7403 |
| Appears in Collections: | Mathematics (Publications) |
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