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PZ idempotent generated subsemigroup

R, there mouth ∈ R, so R, which dom = dom port = X. Therefore, p ∈ T so ∈ R. So get set to be R. 'A set of four Zhu Fenglin: Px idempotent generated semigroup to 【5-_ -------------- _ -------------- ------------------------------- A ------------------ ------------ ----------- one by one based on a one H is a class D, apparently there is a class D of the H Day, making the day. ∈ on any day, there is at port ∈ T, so H. Therefore dora = d0m = x, so ∈ T, so ∈ days, then at T = days. On arbitrary (1 ≤, ≤ -1), D. Army Dj is obvious. -2 Set by the idempotents of the semigroup generated E Lemma 2.1 ∈ is idempotent if and only if =. Or = (: ≮ === Smile

, where ∈, i1 · ..., r. Lemma 2.2t2, (part of one transformation semi-groups) in each chain are all . Proof ∈, is a chain, rank port r, then = '...,) Mouth 2 Mouth 3 ... mouth r + l ,==(::::: Smile

( a ... l'-.' A. =., ha + r ~ a,[link widoczny dla zalogowanych],. r ~ +1 )(,[link widoczny dla zalogowanych]。::::::: Smile

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so ∈ (home> of a 2.3 【2 per lead Xinjiang - a, r in the expansion of chain belong to ... Card modeled proof of Lemma 2.t2 method is easy to prove this reason I bow., Lemma 2.4 【2 each with rank r ~ n - l mouth ∈,[link widoczny dla zalogowanych], can be written as the product of a chain expansion l. Corollary 2.5 each with rank r ≤ 1 month for a ∈, belong to . Card set (, ... Theorem 2.7 Let ∈ P, then the mouth ∈ if and only if the port or port is P = l Rank ~ <n-1 of the yuan. Proof mouth ∈ , if the rank = H , then there exists a positive integer m, so = port l, 2 ... ... mouth port,[link widoczny dla zalogowanych], which port l, 2. ..., are the idempotents, and x = ranran, so l'all port = x, which = I. with management may permit oral L | ...,[link widoczny dla zalogowanych], .1 is a mouth. so port = 1. Conversely, by Lemma 2.6 to know is also true. by Theorem 2.7. know (e> = (1) U ( ∈ P1 ≤ rank bamboo mouth like a l.. we get a half-band. boxing appointed Mr. Yu gave a warm article of arsenic guidance and encouragement, to express our sincere gratitude. Qinghai Normal University ) 1990 is