A simplistic approach to inverse transversals
1996 ◽
Vol 39
(1)
◽
pp. 57-69
◽
An inverse transversal of a regular semigroup S is an inverse subsemigroup that contains precisely one inverse of each element of S. In the literature there are three known types of inverse transversal, namely those that are multiplicative, those that are weakly multiplicative, and those that form quasi-ideals. Here, by considering natural ways in which certain words can be simplified, we reveal four new types of inverse transversal. All of these can be illustrated nicely in examples that are based on 2 × 2 matrices.
1997 ◽
Vol 40
(3)
◽
pp. 505-514
◽
1982 ◽
Vol 92
(3-4)
◽
pp. 253-270
◽
1989 ◽
Vol 32
(1)
◽
pp. 41-51
◽
Keyword(s):
1989 ◽
Vol 32
(1)
◽
pp. 33-39
◽
2011 ◽
Vol 28
(5)
◽
pp. 1061-1074
1994 ◽
Vol 37
(1)
◽
pp. 91-99
◽
1980 ◽
Vol 29
(4)
◽
pp. 475-503
◽
2001 ◽
Vol 44
(3)
◽
pp. 549-569
◽
Keyword(s):