Matrix representations of right ample semigroups
2015 ◽
Vol 08
(03)
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pp. 1550042
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The properties of right ample semigroups have been extensively considered and studied by many authors. In this paper, we concentrate on the matrix representations of right ample semigroups. The (left; right) uniform matrix representation is initially defined. After some properties of left uniform matrix representations of a right ample semigroup are given, we prove that any irreducible left uniform representations of a right ample semigroup can be obtained by using an irreducible left uniform representation of some primitive right ample semigroup. In particular, a construction theorem of prime left uniform representation of right ample semigroups is established.
2020 ◽
Vol 34
(05)
◽
pp. 9330-9337
Keyword(s):
2019 ◽
Vol 15
(1)
◽
pp. 88-92
2021 ◽
Vol 2099
(1)
◽
pp. 012012
1988 ◽
Vol 29
(4)
◽
pp. 767-776
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2010 ◽
Vol 25
(31)
◽
pp. 5765-5785
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Keyword(s):
2018 ◽
Vol 11
(3)
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pp. 774-792