一类$\mathcal{R}^{\circ }$-富足半群的弱半直积结构

引入了一类$\mathcal{R}^{\circ } $-富足半群,该类半群真包含了GC-lpp半群,利用左正则带和$\mathcal{R}^{\circ}$-恰当半群给出这类半群的弱半直积的结构.

Weak Semidirect Product Structure Of A Class Of $\mathcal{R}^{\circ }$-abundant Semigroups

A class of $\mathcal{R}^{\circ }$ -abundant semigroups is introduced which contains properly the GC-lpp semigroups, and then a weak semidirect product structure of this class of semigroups is established by using left regular bands and $\mathcal{R}^{\circ}$-adequate semigroups.