Notes on R1-ideals in partial abelian monoids

被引：0

作者：

Gejza Jenča

机构：

[1] Department of Mathematics,

[2] Faculty of Electrical Engineering and Information Technology,undefined

[3] Slovak University of Technology,undefined

[4] Ilkovičova 3,undefined

[5] 812 19 Bratislava,undefined

[6] Slovakia,undefined

[7] e-mail: jenca@kmat.elf.stuba.sk,undefined

来源：

algebra universalis | 2000年 / 43卷

关键词：

Key words and phrases: Partial semigroup, generalized effect algebra.;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In the present paper, we deal with a class of R1-ideals of cancellative positive partial abelian monoids (CPAMs). We prove that, for I being an R1-ideal of a CPAM P, P/I is a CPAM. The lattice of congruence relations associated with R1-ideals is a sublattice of the lattice of all equivalence relations. Finally, we prove that an intersection of two Riesz ideals is a Riesz ideal and that the lattice of Riesz ideals is a sublattice of the lattice of all ideals.

引用

页码：307 / 319

页数：12

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