左C-wrpp 半群的左$\Delta$-积

Left $\Delta$-Product Structure of Left C-Wrpp Semigroups

中文关键词:  左C-wrpp半群  左正则带  左$\Delta$-积.

英文关键词:left C-wrpp semigroup  left regular band  left $\Delta$-product.

中文摘要:

      研究所谓的左C-wrpp半群的又一种结构，特别地，推广和丰富了左$\Delta$-积的概念.给出了由左正则带和${\cal R}$-左消幺半群构造左C-wrpp半群的方法，并且特别地研究了具有左$\Delta$-积结构的左C-wrpp半群的若干性质.

英文摘要:

      We study another structure of so-called left C-wrpp semigroups. In particular, the concept of left $\Delta$-product is extended and enriched. The aim of this paper is to give a construction of left C-wrpp semigroups by a left regular band and a strong semilattice of left-${\cal R}$ cancellative monoids. Properties of left C-wrpp semigroups endowed with left $\Delta$-products are particularly investigated.