THE IDEAL STRUCTURE OF SEMIGROUPS OF TRANSFORMATIONS WITH RESTRICTED RANGE
2010 ◽
Vol 83
(2)
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pp. 289-300
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Keyword(s):
AbstractLet Y be a fixed nonempty subset of a set X and let T(X,Y ) denote the semigroup of all total transformations from X into Y. In 1975, Symons described the automorphisms of T(X,Y ). Three decades later, Nenthein, Youngkhong and Kemprasit determined its regular elements, and more recently Sanwong, Singha and Sullivan characterized all maximal and minimal congruences on T(X,Y ). In 2008, Sanwong and Sommanee determined the largest regular subsemigroup of T(X,Y ) when |Y |≠1 and Y ≠ X; and using this, they described the Green’s relations on T(X,Y ) . Here, we use their work to describe the ideal structure of T(X,Y ) . We also correct the proof of the corresponding result for a linear analogue of T(X,Y ) .
2019 ◽
Vol 12
(07)
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pp. 2050005
Keyword(s):
1999 ◽
Vol 60
(2)
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pp. 303-318
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2008 ◽
Vol 2008
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pp. 1-11
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1978 ◽
Vol 25
(1)
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pp. 45-65
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2017 ◽
Vol 16
(12)
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pp. 1750223
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Keyword(s):
2018 ◽
Vol 11
(04)
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pp. 1850048
Keyword(s):
2006 ◽
Vol 26
(1)
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pp. 85
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2008 ◽
Vol 01
(04)
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pp. 489-507
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