Congruences on Orthodox Semirings Whose Additive Idempotents Satisfy Permutation Identities |
Received:May 02, 2012 Revised:September 03, 2012 |
Key Words:
inverse semiring congruence band semiring.
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Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.10961014; 11101354), the Natural Science Foundation of Jiangxi Province and the Science Foundation of the Education Department of Jiangxi Province. |
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Abstract: |
The investigation of congruences on generalized inverse semigroups is initiated. Following some properties of such semigroups, the congruences on an orthodox semiring whose idempotents satisfy permutation identities are established. In addition, we give a structure theorem of homomorphic image of this kind of orthodox semirings. |
Citation: |
DOI:10.3770/j.issn:2095-2651.2013.05.006 |
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