Details:
Title  On decomposable semigroups and applications  Author(s)  J.I. GarcíaGarcía, M.A. MorenoFrías, A. VigneronTenorio  Type  Article in Journal  Abstract  Abstract In this work we develop a framework to decrease the time complexity of wellknown algorithms to compute the generator sets of a semigroup ideal by using the Hermite normal form. We introduce idea of decomposable semigroups, which fulfills that the computation of its ideal can be achieved by separately calculating over smaller semigroups, products of the decomposition. Our approach does not only decrease the time complexity of the problem, but also allows using parallel computational techniques. A combinatorial characterization of these semigroups is obtained and the concept of decomposable variety is introduced. Finally, some applications and practical results are provided.  Keywords  Algebraic Statistics, Decomposable semigroup, Decomposable variety, HNFdecomposition, Lattice ideal, Markov bases, Semigroup ideal, Simplicial complex  ISSN  07477171 
URL 
http://www.sciencedirect.com/science/article/pii/S0747717113000722 
Language  English  Journal  Journal of Symbolic Computation  Volume  58  Number  0  Pages  103  116  Year  2013  Edition  0  Translation 
No  Refereed 
No 
