Crit\`ere d'existence d'idempotent bas\'e sur les alg\`ebres de R\'etrocroisement

Autor:	Mallol, Cristián, Varro, Richard
Jazyk:	francouzština
Rok vydání:	2014
Předmět:	Mathematics - Commutative Algebra Primary : 17D92 Secondary : 92A10
Druh dokumentu:	Working Paper
Popis:	We study the relationship of backcrossing algebras with mutation algebras and algebras satisfying $\omega$-polynomial identities: we show that in a backcrossing algebra every element of weight 1 generates a mutation algebra and that for any polynomial identity $f$ there is a backcrossing algebra satisfying $f$. We give a criterion for the existence of idempotent in the case of baric algebras satisfying a nonhomogeneous polynomial identity and containing a backcrossing subalgebra. We give numerous genetic interpretations of the algebraic results. Comment: in French
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1405.4236 Zobrazit plný text záznamu View this record from Arxiv