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Scholars Journal of Physics, Mathematics and Statistics | Volume-2 | Issue-04
The minimum group congruence on a GV-semi group
Yu Wang
Published: Nov. 24, 2015 |
84
80
DOI: 10.36347/sjpms
Pages: 373-376
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Abstract
A GV-semi group is a semi group in which some power of each element is regular and every regular element
lies in a subgroup. The minimum group congruence on a GV-semi group is investigated by means of establishing a
subset and a binary relation. A description of the minimum group congruence on a GV-semi group is given. Moreover,
the particular Transparent description on the minimum group congruence is obtained in the case of a completely regular
semi group.
Mathematics Subject Classification: 20M10
Keywords: GV-semi groups, Group congruences, self-conjugate