對(duì)自由半群中一類方程解的研究
摘 要
近年來(lái)﹐半群代數(shù)理論在計(jì)算機(jī)科學(xué)中得到了廣泛的應(yīng)用﹐引起人們的高度重視﹐并成為數(shù)學(xué)家和計(jì)算機(jī)科學(xué)家深入研究的對(duì)象﹐有了迅速的.發(fā)展。
自由半群是半群的1個(gè)很重要的分支。隨著科學(xué)技術(shù)的迅速發(fā)展，自由半群在機(jī)器自動(dòng)化及自動(dòng)操控、語(yǔ)言、碼中起到了很重要的作用。本文針對(duì)在自由半群中的1類方程a b =c (m,n,p 2)在1定條件下只有平凡解進(jìn)行了討論。字是自由半群中的1個(gè)核心單元。本文主要從字的長(zhǎng)度入手，根據(jù)字a和c長(zhǎng)度的大小，分為| |>| |、| |=| |、| |<| |3大部分，共分8種情況進(jìn)行了討論。
關(guān)鍵字：字；半群；自由半群；長(zhǎng)度
ABSTRACT
In recent years, the theories of the semigroup have been applied extensively in computer technology,taking people’s hi-
gh attention ,and have been studied deeply by the mathmatists and computer scientists ,and have developed rapidly.
Free semigroup is a very important branch of the semigroup.With the development of science technology, free semigroup takes a very important role in machine, automate, automatic operation, language,and code . This text discusses that only has trivial solves under the conditrion that m,n,p 2.The word is a core unit in free semigroup. According to the words length of a and c,the text is divided three parts:|a|>|c|, |a|=|c |, |a|<|c|,and discusses eight kinds of circumstances.
Key words；word; semigroup; free semigroup; length
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