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首页> 外文期刊>Journal of algebra and its applications >The monoid of all orientation-preserving and extensive full transformations on a finite chain
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The monoid of all orientation-preserving and extensive full transformations on a finite chain

机译：The monoid of all orientation-preserving and extensive full transformations on a finite chain

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Let OP epsilon(n) be the monoid of all orientation-preserving and extensive full transformations on {1, 2, ..., n} ordered in the standard way. In this paper, we determine the minimum generating set and the minimum idempotent generating set of OP epsilon(n), and so the rank and the idempotent rank of OP epsilon(n) are obtained. Moreover, we describe maximal subsemigroups and maximal idempotent generated subsemigroups of OP epsilon(n) and completely obtain their classifications.

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