On anti-commutative semirings
An anticommutative semiring is completely characterized by the types of multiplications that are permitted. It is shown that a semiring is anticommutative if and only if it is a product of two semirings R1 and R2 such that R1 is left multiplicative and R2 is right multiplicative.
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| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1989-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171289000256 |
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| _version_ | 1832551817514319872 |
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| author | J. S. Ratti Y. F. Lin |
| author_facet | J. S. Ratti Y. F. Lin |
| author_sort | J. S. Ratti |
| collection | DOAJ |
| description | An anticommutative semiring is completely characterized
by the types of multiplications that are permitted. It is shown
that a semiring is anticommutative if and only if it is a product
of two semirings R1
and R2
such that R1 is left multiplicative and
R2 is right multiplicative. |
| format | Article |
| id | doaj-art-8a5d3aea1a6345e3bcfa1bd5bc85643a |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1989-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-8a5d3aea1a6345e3bcfa1bd5bc85643a2025-02-03T06:00:32ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251989-01-0112120520710.1155/S0161171289000256On anti-commutative semiringsJ. S. Ratti0Y. F. Lin1Department of Mathematics, University of South Florida, Tampa 33620, Florida, USADepartment of Mathematics, University of South Florida, Tampa 33620, Florida, USAAn anticommutative semiring is completely characterized by the types of multiplications that are permitted. It is shown that a semiring is anticommutative if and only if it is a product of two semirings R1 and R2 such that R1 is left multiplicative and R2 is right multiplicative.http://dx.doi.org/10.1155/S0161171289000256 |
| spellingShingle | J. S. Ratti Y. F. Lin On anti-commutative semirings International Journal of Mathematics and Mathematical Sciences |
| title | On anti-commutative semirings |
| title_full | On anti-commutative semirings |
| title_fullStr | On anti-commutative semirings |
| title_full_unstemmed | On anti-commutative semirings |
| title_short | On anti-commutative semirings |
| title_sort | on anti commutative semirings |
| url | http://dx.doi.org/10.1155/S0161171289000256 |
| work_keys_str_mv | AT jsratti onanticommutativesemirings AT yflin onanticommutativesemirings |