The Singular Congruence and the Maximal Quotient Semigroup
1972 ◽
Vol 15
(2)
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pp. 301-303
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It is a well known result (see [4, p. 108]) that if R is a ring and Q(R) its maximal right quotient ring, then Q(R) is (von Neumann) regular if and only if every large right ideal of R is dense. This condition is equivalent to saying that the singular ideal of R is zero. In this note we show that the condition loses its magic in the theory of semigroups.
1972 ◽
Vol 24
(5)
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pp. 835-850
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Keyword(s):
1977 ◽
Vol 20
(2)
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pp. 263-265
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Keyword(s):
Keyword(s):
2011 ◽
Vol 10
(06)
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pp. 1351-1362
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Keyword(s):
2013 ◽
Vol 12
(07)
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pp. 1350025
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1988 ◽
Vol 102
(3)
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pp. 480-480
Keyword(s):
1978 ◽
Vol 21
(3)
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pp. 319-324
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1973 ◽
Vol 25
(4)
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pp. 829-839
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2009 ◽
Vol 08
(05)
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pp. 601-615
Keyword(s):
2011 ◽
Vol 39
(9)
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pp. 3242-3252
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