Operators related to idempotent generated and monoid completely regular semigroups
1990 ◽
Vol 49
(1)
◽
pp. 1-23
◽
Keyword(s):
AbstractThe class CR of completely regular semigroups (unions of groups or algebras with the associative binary operation of multiplication and the unary operation of inversion subject to the laws x = xx-1, (x−1)-1 = x and xx-1 = x-1x) is a variety. Among the important subclasses of CR are the classes M of monoids and I of idempotent generated members. For each C ∈ {I, M}, there are associated mappings ν → ν ∩ C and ν → (Ν ∩ C), the variety generated by ν ∩ C. The lattice theoretic properties of these mappings and the interactions between these mappings are studied.
2007 ◽
Vol 83
(1)
◽
pp. 87-104
◽
1990 ◽
Vol 32
(2)
◽
pp. 137-152
◽
2018 ◽
Vol 55
(1)
◽
pp. 1-22
◽
1983 ◽
Vol 35
(2)
◽
pp. 227-235
◽
2019 ◽
Vol 12
(04)
◽
pp. 1950058
2013 ◽
Vol 94
(3)
◽
pp. 397-416
◽