Rectangular Ring Congruences on an E-inversive Semiring

CHENG Zi-qiang, ZHOU Yuan-lan, PAN Shi-ju

doi:10.13371/j.cnki.chin.q.j.m.2014.04.008

Chinese Quarterly Journal of Mathematics >

2014 , Vol. 29 >Issue 4: 529 - 538

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2014.04.008

Rectangular Ring Congruences on an E-inversive Semiring

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Department of Mathematics, Jiangxi Normal University

CHENG Zi-qiang(1988-), male, native of Shangrao, Jiangxi, a master of Jiangxi Normal University, M.S.D., engages in algebraic theory of semigroups.

Received date: 2013-01-23

Online published: 2020-11-26

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

Cite this article

CHENG Zi-qiang, ZHOU Yuan-lan, PAN Shi-ju . Rectangular Ring Congruences on an E-inversive Semiring[J]. Chinese Quarterly Journal of Mathematics, 2014 , 29(4) : 529 -538 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.04.008

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