On the decomposable semigroups and their applications in Algebraic Statistics

Details On the decomposable semigroups and their applications in Algebraic Statistics On the decomposable semigroups and their applications in Algebraic Statistics

2010-06-13

arxiv.org/abs/1006.2557v2

Mathematics

Commutative Algebra

Scientific paper

In this paper some properties of decomposable semigroups and their associated ideals are studied. We give an efficient method to determine the decomposition of this kind of semigroups that improves the computation of some objects related with them. The concept of decomposable variety is introduced and a combinatorial characterization of decomposable semigroups is proven. These improvements are applied to some semigroups studied in Algebraic Statistics.

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