Matrix Representations of Inverse Semigroups
1969 ◽
Vol 9
(1-2)
◽
pp. 29-61
◽
Keyword(s):
In his paper [1], W. D. Munn determines the irreducible matrix representations of an arbitrary inverse semigroup. Munn also gives a necessary and sufficient condition upon a 0-simple inverse semigroup for it to have a non-trivial matirx representation and for such semigroups gives a complete account of their representations. Munn's results rest upon the earlier work of Clifford [2] in which the representations of Brandt semigroups were determined. An alternative account of such representations was given by Munn in [3]. This earlier work is presented in Sections 5.2 and 5.4 of [4].
2016 ◽
Vol 94
(3)
◽
pp. 457-463
◽
1973 ◽
Vol 9
(3)
◽
pp. 479-480
◽
1967 ◽
Vol 67
(3)
◽
pp. 175-184
2007 ◽
Vol 83
(3)
◽
pp. 357-368
◽
1972 ◽
Vol 7
(3)
◽
pp. 407-424
◽
2009 ◽
Vol 79
(3)
◽
pp. 353-365
◽
2002 ◽
Vol 12
(01n02)
◽
pp. 51-84
◽
2017 ◽
Vol E100.A
(12)
◽
pp. 2764-2775
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