QUASI-STRONG SEMILATTICE DECOMPOSITION OF REGULAR BANDS
Liu Kai-zhen · Journal of Mathematics · 2011
The problem of structure of regular bands is studied in this article.By the way of quasi-strong semilattice of semigroups,we prove that a band is a regular band if and only if it is a quasi-strong semilattice of rectangular bands,which generalizes the result of Yamada and Kimura on normal bands,that is,a band is a normal band if and only if it is a strong semilattice of rectangular bands.