Congruences on Orthodox Semirings Whose Additive Idempotents Satisfy Permutation Identities
Received:May 02, 2012  Revised:September 03, 2012
Key Word: inverse semiring   congruence   band semiring.  
Fund ProjectL: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.
Author NameAffiliation
Shiju PAN Department of Mathematics, Jiangxi Normal University, Jiangxi 330022, P. R. China 
Yuanlan ZHOU Department of Mathematics, Jiangxi Normal University, Jiangxi 330022, P. R. China 
Ziqiang CHENG Department of Mathematics, Jiangxi Normal University, Jiangxi 330022, P. R. China 
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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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