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Maximal properties of some subsemibands of order-preserving full transformations

Ping Zhao|Mei Yang
대한수학회 (The Korean Mathematical Society)|2013.03|대한수학회보 (Bulletin of the KMS)|제50권 제2호|pp. 627-637

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참고문헌

키워드

order-preserving full transformation semigroupmaximal subsemibandmaximal regular subsemibandlocally maximal subsemibandlocally maximal regular subsemiband
주제분류수학

초록

Let [n] = {1, 2, . . . , n} be ordered in the standard way. The order-preserving full transformation semigroup On is the set of all order- preserving singular full transformations on [n] under composition. For this semigroup we describe maximal subsemibands, maximal regular sub- semibands, locally maximal regular subsemibands, and completely obtain their classification.

Abstract

Let [n] = {1, 2, . . . , n} be ordered in the standard way. The order-preserving full transformation semigroup On is the set of all order- preserving singular full transformations on [n] under composition. For this semigroup we describe maximal subsemibands, maximal regular sub- semibands, locally maximal regular subsemibands, and completely obtain their classification.

참고문헌 (13)

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