Several Properties of Green's Relations on a Semiring

机译：半环上格林关系的若干性质

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Green's relations have played a fundamental role in the development of semi group theory. M.P. Grillet defined Green's relations on a semiring in terms of principal ideals. In this paper, we mainly discuss the properties of left (right) Green's relations on a semiring, the result show that La is the same as (a] whenever (a] is the minimal left ideal, and we give a sufficient and necessary condition for L = L.

机译：格林的关系在半群论的发展中起着根本性的作用。硕士格里耶特（Grillet）根据主要理想将格林的关系定义在半环上。在本文中，我们主要讨论半环上左（右）格林关系的性质，结果表明，当（a）是最小左理想时，La与（a）相同，并且给出了充分必要的条件对于L =L。

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《2011 International Conference on Computational and Information Sciences》|2011年|p.1167-1169|共3页
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Jin Yingji; Bai Honggang;
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中图分类数据处理、数据处理系统;
关键词
Green's relation; principal left (right) ideal; semiring;

机译：格林的关系;主要的左（右）理想;混音;

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Several Properties of Green's Relations on a Semiring

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