Publication: Invertible matrices in certain commutative subsemirings of full matrix semirings
| dc.contributor.author | Sirasuntorn N. | |
| dc.contributor.author | Sararnrakskul R.I. | |
| dc.date.accessioned | 2021-04-05T03:24:20Z | |
| dc.date.available | 2021-04-05T03:24:20Z | |
| dc.date.issued | 2016 | |
| dc.date.issuedBE | 2559 | |
| dc.description.abstract | Then every field is a semifield. For a semifield S, we let Dn(S) denote the set of all A ε Mn (S) of the form (Equation Presented) where Mn (S) is the full n × n matrix semiring over S. Then Dn(S) is a maximal commutative subsemiring of the semiring Mn(S). If S is a field, it is known that A ε Dn(S) is invertible if and only if det A ≠ 0. In this paper, invertible matrices in Dn(S) where S is a semifield which is not a field are characterized. It is shown that if S is a semifield which is not a field, then A ε Dn(S) is an invertible matrix over S if and only if (xi = 0 if and only if yi ≠ 0). © 2016 Academic Publications, Ltd. | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.citation | International Journal of Pure and Applied Mathematics. Vol 106, No.1 (2016), p.191-197 | |
| dc.identifier.doi | 10.12732/ijpam.v106i1.14 | |
| dc.identifier.issn | 13118080 | |
| dc.identifier.other | 2-s2.0-84957889383 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14740/5776 | |
| dc.rights.holder | มหาวิทยาลัยศรีนครินทรวิโรฒ | |
| dc.title | Invertible matrices in certain commutative subsemirings of full matrix semirings | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| swu.datasource.scopus | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84957889383&doi=10.12732%2fijpam.v106i1.14&partnerID=40&md5=b4315b31df67498c16f4ff74f462df34 |