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YAĞCI M., Korkmaz E.
SEMIGROUP FORUM, vol.101, no.2, pp.486-496, 2020 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
101
Issue:
2
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Publication Date:
2020
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Doi Number:
10.1007/s00233-020-10098-2
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Journal Name:
SEMIGROUP FORUM
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
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Page Numbers:
pp.486-496
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Keywords:
Order-preserving, decreasing transformation, Minimum generating set, Rank, Nilpotent subsemigroup
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Çukurova University Affiliated:
Yes
Abstract
Let C-n be the semigroup of all order-preserving and decreasing transformations on X-n = {1, ... , n} under its natural order, and let N(C-n) be the subsemigroup of all nilpotent elements of C n. In this paper we determine the minimum generating set of N(C-n), and so the rank of N(C-n). Moreover, we investigate the nilpotent subsemigroups of C-n.