Congruence lattices of regular semigroups related to kernels and traces
1991 ◽
Vol 34
(2)
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pp. 179-203
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Keyword(s):
The kernel–trace approach to congruences on a regular semigroup S can be refined by introducing the left and right traces. This induces eight operators on the lattice of congruences on S: t1, k, tr,; Tt, K, Tr; t, T. We describe the lattice of congruences on S generated by six 3-element subsets of the set {ωt1, ωk, ωtr, εTt, εK, εTr} where ω and ε denote the universal and the equality relations. This is effected by means of a diagram and in terms of generators and relations on a free distributive lattice, or a homomorphic image thereof. We perform the same analysis for the lattice of congruences on S generated by the set {εK, ωk, εT, ωt}.
1997 ◽
Vol 40
(3)
◽
pp. 457-472
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1980 ◽
Vol 29
(4)
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pp. 475-503
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1988 ◽
Vol 45
(3)
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pp. 320-325
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1969 ◽
Vol 1
(2)
◽
pp. 231-235
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1987 ◽
Vol 106
(1-2)
◽
pp. 89-102
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Keyword(s):
1969 ◽
Vol 10
(1)
◽
pp. 21-24
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Keyword(s):
1998 ◽
Vol 41
(3)
◽
pp. 290-297
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2019 ◽
Vol 12
(04)
◽
pp. 1950058
1996 ◽
Vol 39
(3)
◽
pp. 425-460
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1980 ◽
Vol 29
(2)
◽
pp. 162-176
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