Transitive factorizations of free partially commutative monoids and Lie algebras

Details Transitive factorizations of free partially commutative monoids and Lie algebras Transitive factorizations of free partially commutative monoids and Lie algebras

2006-07-18

arxiv.org/abs/math/0607420v1

Discrete Mathematics 246, Issue 1-3 (2002) 83 - 97

Mathematics

Combinatorics

Scientific paper

Let $\M(A,\theta)$ be a free partially commutative monoid. We give here a necessary and sufficient condition on a subalphabet $B\subset A$ such that the right factor of a bisection $\M(A,\theta)=\M(B,\theta\_B).T$ be also partially commutative free. This extends strictly the (classical) elimination theory on partial commutations and allows to construct new factorizations of $\M(A,\theta)$ and associated bases of $L\_K(A,\theta)$.

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