On lattice-ordered commutative semigroups

被引:0
作者
Laszlo Fuchs
Raquel Reis
机构
[1] Tulane University,Department of Mathematics
[2] Universidade Aberta,Departamento de Matemática
来源
algebra universalis | 2003年 / 50卷
关键词
06F05.; Lattice-ordered semigroup; compact element; prime; primary; primal elements; associated primes; -components;
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摘要
Decompositions of elements into intersections of primal elements and into intersections of p-components are studied in certain lattice-ordered commutative semigroups, by making use of the new development in commutative ideal theory without finiteness conditions, due to Fuchs-Heinzer-Olberding [7]. Several results concerning ideals can be phrased as theorems in ‘abstract ideal theory’.
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页码:341 / 357
页数:16
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