CONSTRUCTION OF A R-STRONGLY UNIT REGULAR MONOID FROM A REGULAR BIORDERED SET AND A GROUP
2011 ◽
Vol 04
(04)
◽
pp. 653-670
Keyword(s):
In this paper we give a detailed study of R-strongly unit regular monoids. The relations between the biordered set of idempotents and the group of units in unit regular semigroups are better identified here. Conversely, starting from a regular biordered set E and a group G we construct a R-strongly unit regular semigroup S for which the set of idempotents E(S) is isomorphic to E as a biordered set and the group of units G(S) is isomorphic to G. The conditions to be satisfied by G and E are also listed.
2018 ◽
Vol 7
(4.36)
◽
pp. 950
1994 ◽
Vol 36
(2)
◽
pp. 163-171
◽
Keyword(s):
1978 ◽
Vol 21
(2)
◽
pp. 135-142
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Keyword(s):
2005 ◽
Vol 2005
(18)
◽
pp. 2945-2975
1981 ◽
Vol 88
(3-4)
◽
pp. 275-291
◽
1980 ◽
Vol 29
(4)
◽
pp. 475-503
◽
1996 ◽
Vol 39
(3)
◽
pp. 425-460
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1997 ◽
Vol 40
(3)
◽
pp. 457-472
◽
2017 ◽
Vol 103
(1)
◽
pp. 116-125
2009 ◽
Vol 86
(2)
◽
pp. 177-187
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