JP Journal of Algebra, Number Theory and Applications
Volume 34, Issue 2, Pages 151 - 162
(September 2014)
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PARTIAL KERNEL NORMAL SYSTEMS FOR A SEMIGROUP WITH NON-EMPTY SET OF IDEMPOTENTS
Hengwu Zheng
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Abstract: The set of P-partial kernel normal systems for a semigroup S with non-empty set of idempotents forms a complete lattice, which is a completely -homomorphic image of Every strongly regular congruence on an E-inversive semigroup is uniquely determined by its P-partial kernel normal system. These results generalize the corresponding results for eventually regular semigroups and E-inversive semigroups. |
Keywords and phrases: semigroup with non-empty set of idempotents, P-partial kernel normal system, kernel normal system, lattice of congruences, E-inversive semigroup, strongly regular congruence. |
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