幂等元集为正规带的r-宽大半群
r-wide semigroups whose idempotents form normal band
-
摘要: 研究幂等元集为正规带的r-宽大半群的结构,证明了半群S是一个幂等元集为正规带的r-宽大半群,当且仅当S同构于一个左正规带、右正规带和弱适当半群的拟织积.Abstract: The structure of r-wide semigroups whose idempotents form normal band is studied. We prove that a semigroup is r-wide semigroup whose idempotents form normal band if and only if it is isomorphic to a quasi-spined product of a left normal band, a right normal band and a weakly adequate semigroup.