Congruences on an orthodox semigroup via the minimum inverse semigroup congruence
1977 ◽
Vol 18
(2)
◽
pp. 181-192
◽
Keyword(s):
It is well known that the lattice Λ(S) of congruences on a regular semigroup S contains certain fundamental congruences. For example there is always a minimum band congruence β, which Spitznagel has used in his study of the lattice of congruences on a band of groups [16]. Of key importance to his investigation is the fact that β separates congruences on a band of groups in the sense that two congruences are the same if they have the same meet and join with β. This result enabled him to characterize θ-modular bands of groups as precisely those bands of groups for which ρ⃗(ρ∨β, ρ∧β)is an embedding of Λ(S) into a product of sublattices.
1983 ◽
Vol 95
(1-2)
◽
pp. 59-71
◽
Keyword(s):
1966 ◽
Vol 7
(3)
◽
pp. 145-159
◽
1967 ◽
Vol 67
(3)
◽
pp. 175-184
2001 ◽
Vol 44
(3)
◽
pp. 549-569
◽
Keyword(s):
1978 ◽
Vol 19
(1)
◽
pp. 63-68
◽
2021 ◽
Vol 12
(3)
◽
pp. 5150-5155
1985 ◽
Vol 38
(2)
◽
pp. 281-286
◽
1988 ◽
Vol 45
(3)
◽
pp. 320-325
◽