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- W2022344360 abstract "Let R be a regular semigroup and denote by ( R ) its congruence lattice. For , the kernel of p is the set ker . The relation K on ( R ) defined by λ K p if ker λ = ker p is the kernel relation on ( R ). In general, K is a complete ∩-congruence but it is not a v-congruence. In view of the importance of the kernel-trace approach to the study of congruences on a regular semigroup (the trace of p is its restriction to idempotents of R ), it is of considerable interest to determine necessary and sufficient conditions on R in order for K to be a congruence. This being in general a difficult task, one restricts attention to special classes of regular semigroups. For a background on this subject, consult [1]." @default.
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- W2022344360 date "1996-09-01" @default.
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- W2022344360 title "The kernel relation for a strict extension of certain regular semigroups" @default.
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- W2022344360 doi "https://doi.org/10.1017/s0017089500031785" @default.
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