Regular equivalence and strongly regular equivalence on multiplicative ternary hyperring
We introduce the notion of a multiplicative ternary hyperring, consider regular equivalences and strongly regular equivalences of a multiplicative ternary hyperring and investigate their properties. As a consequence, three isomorphism theorems on multiplicative ternary hyperrings are obtained.
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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2015-06-01
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| Series: | Journal of Hyperstructures |
| Subjects: | |
| Online Access: | https://jhs.uma.ac.ir/article_2595_99845fc1eb6fdd4067ec453739861d2c.pdf |
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| author | Md Salim Masud Molla T. Chanda T. K. Dutta |
| author_facet | Md Salim Masud Molla T. Chanda T. K. Dutta |
| author_sort | Md Salim Masud Molla |
| collection | DOAJ |
| description | We introduce the notion of a multiplicative ternary hyperring, consider regular equivalences and strongly regular equivalences of a multiplicative ternary hyperring and investigate their properties. As a consequence, three isomorphism theorems on multiplicative ternary hyperrings are obtained. |
| format | Article |
| id | doaj-art-3da3b64f430f42889036f75813ed4d08 |
| institution | Kabale University |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2015-06-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-3da3b64f430f42889036f75813ed4d082025-08-20T03:28:48ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662015-06-0141203610.22098/jhs.2015.25952595Regular equivalence and strongly regular equivalence on multiplicative ternary hyperringMd Salim Masud Molla0T. Chanda1T. K. Dutta2Department of Mathematics, Darjeeling Government College, P.O.Box 734101, Darjeeling, IndiaDepartment of Mathematics, Ananda Mohan College, P.O.Box 700009, Kolkata, IndiaDepartment of Pure Mathematics, University of Calcutta, P.O.Box 700019, Kolkata, IndiaWe introduce the notion of a multiplicative ternary hyperring, consider regular equivalences and strongly regular equivalences of a multiplicative ternary hyperring and investigate their properties. As a consequence, three isomorphism theorems on multiplicative ternary hyperrings are obtained.https://jhs.uma.ac.ir/article_2595_99845fc1eb6fdd4067ec453739861d2c.pdfbinary relationequivalence relationregular and strongly regular equivalence relationternary hyperrings |
| spellingShingle | Md Salim Masud Molla T. Chanda T. K. Dutta Regular equivalence and strongly regular equivalence on multiplicative ternary hyperring Journal of Hyperstructures binary relation equivalence relation regular and strongly regular equivalence relation ternary hyperrings |
| title | Regular equivalence and strongly regular equivalence on multiplicative ternary hyperring |
| title_full | Regular equivalence and strongly regular equivalence on multiplicative ternary hyperring |
| title_fullStr | Regular equivalence and strongly regular equivalence on multiplicative ternary hyperring |
| title_full_unstemmed | Regular equivalence and strongly regular equivalence on multiplicative ternary hyperring |
| title_short | Regular equivalence and strongly regular equivalence on multiplicative ternary hyperring |
| title_sort | regular equivalence and strongly regular equivalence on multiplicative ternary hyperring |
| topic | binary relation equivalence relation regular and strongly regular equivalence relation ternary hyperrings |
| url | https://jhs.uma.ac.ir/article_2595_99845fc1eb6fdd4067ec453739861d2c.pdf |
| work_keys_str_mv | AT mdsalimmasudmolla regularequivalenceandstronglyregularequivalenceonmultiplicativeternaryhyperring AT tchanda regularequivalenceandstronglyregularequivalenceonmultiplicativeternaryhyperring AT tkdutta regularequivalenceandstronglyregularequivalenceonmultiplicativeternaryhyperring |