Semilattice decompositions of semigroups revisited

被引：6

作者：

Bogdanovic, S

Ciric, M

Popovic, Z

机构：

[1] Univ Nis, Fac Econ, YU-18000 Nish, Yugoslavia

[2] Univ Nis, Fac Philosophy, Dept Math, YU-18000 Nish, Yugoslavia

来源：

SEMIGROUP FORUM | 2000年 / 61卷 / 02期

关键词：

Semilattice Decomposition;

D O I：

10.1007/PL00006023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Two relations introduced by M.S. Putcha and T. Tamura, denoted by --> and --> play a crucial role in semilattice decompositions of semigroups. General properties of the graphs that correspond to these relations were studied by M.S. Putcha in [14], 1973, and the structure of semigroups in which the minimal paths in the graph corresponding to --> are bounded was described by the first two authors in [7], 1996. In this paper this will be done for the relation -. We consider the same problem for the left-hand analogue of this relation and for two radicals of the Green's J-relation. The obtained results generalize various results given by M.S, Putcha, T. Tamura, L.N. Shevrin and the first two authors of this paper.

引用

页码：263 / 276

页数：14

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