Chinese Quarterly Journal of Mathematics ›› 2014, Vol. 29 ›› Issue (4): 529-538.doi: 10.13371/j.cnki.chin.q.j.m.2014.04.008

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Rectangular Ring Congruences on an E-inversive Semiring

  

  1. Department of Mathematics, Jiangxi Normal University
  • Received:2013-01-23 Online:2014-12-30 Published:2020-11-26
  • About author:CHENG Zi-qiang(1988-), male, native of Shangrao, Jiangxi, a master of Jiangxi Normal University, M.S.D., engages in algebraic theory of semigroups.
  • Supported by:
    Supported by the National Natural Science Foundation of China(10961014,11101354)； Supported by the Natural Science Foundation of Jiangxi Province(0611051)； Supported by the Science Foundation of the Education Department of Jiangxi Province(GJJ09459)；

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Abstract: In this paper, we discussed the property of rectangular band semiring congruence and ring congruence on a semiring and gave some characterizations and structure of rectangular ring congruence on an E-inversive semiring. 

Key words: congruence, band semiring, E-inversive semiring

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