On the semigroups of order-preserving transformations generated by idempotents of rank n −1
2017 ◽
Vol 16
(02)
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pp. 1750023
Let [Formula: see text] be the semigroup of all singular order-preserving mappings on the finite set [Formula: see text]. It is known that [Formula: see text] is generated by its set of idempotents of rank [Formula: see text], and its rank and idempotent rank are [Formula: see text] and [Formula: see text], respectively. In this paper, we study the structure of the semigroup generated by any nonempty subset of idempotents of rank [Formula: see text] in [Formula: see text]. We also calculate its rank and idempotent rank.
2015 ◽
Vol 93
(1)
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pp. 73-91
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2016 ◽
Vol 16
(07)
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pp. 1750138
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1990 ◽
Vol 114
(3-4)
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pp. 161-167
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2018 ◽
Vol 17
(02)
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pp. 1850036
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Vol 25
(08)
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pp. 1187-1222
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1970 ◽
Vol 68
(2)
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pp. 267-274
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2020 ◽
Vol 28
(5)
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pp. 727-738