One-sided complements and solutions of the equation aXb=c in semirings
Given multiplicatively-regular elements a and b in a semiring R, and given an element c of R, we find a complete set of solutions to the equation aXb=c. This result is then extended to equations over matrix semirings.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202007792 |
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| _version_ | 1832560313101189120 |
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| author | Sam L. Blyumin Jonathan S. Golan |
| author_facet | Sam L. Blyumin Jonathan S. Golan |
| author_sort | Sam L. Blyumin |
| collection | DOAJ |
| description | Given multiplicatively-regular elements a and b in a semiring
R, and given an element c of R, we find a complete set of solutions to the equation aXb=c. This result is then extended to equations over matrix semirings. |
| format | Article |
| id | doaj-art-617aa59b30964d4fa81414dc13af40ee |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-617aa59b30964d4fa81414dc13af40ee2025-02-03T01:27:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0129845345810.1155/S0161171202007792One-sided complements and solutions of the equation aXb=c in semiringsSam L. Blyumin0Jonathan S. Golan1Lipetsk State Technical University, Lipetsk 398055, RussiaDepartment of Mathematics, University of Haifa, Haifa 31905, IsraelGiven multiplicatively-regular elements a and b in a semiring R, and given an element c of R, we find a complete set of solutions to the equation aXb=c. This result is then extended to equations over matrix semirings.http://dx.doi.org/10.1155/S0161171202007792 |
| spellingShingle | Sam L. Blyumin Jonathan S. Golan One-sided complements and solutions of the equation aXb=c in semirings International Journal of Mathematics and Mathematical Sciences |
| title | One-sided complements and solutions of the equation aXb=c in semirings |
| title_full | One-sided complements and solutions of the equation aXb=c in semirings |
| title_fullStr | One-sided complements and solutions of the equation aXb=c in semirings |
| title_full_unstemmed | One-sided complements and solutions of the equation aXb=c in semirings |
| title_short | One-sided complements and solutions of the equation aXb=c in semirings |
| title_sort | one sided complements and solutions of the equation axb c in semirings |
| url | http://dx.doi.org/10.1155/S0161171202007792 |
| work_keys_str_mv | AT samlblyumin onesidedcomplementsandsolutionsoftheequationaxbcinsemirings AT jonathansgolan onesidedcomplementsandsolutionsoftheequationaxbcinsemirings |