Xiangzhi Kong
Abstract
The usual Green relations,*-Green relations are generalized to #-Green relations and the semilattice decomposition of■#-abundant semigroups is given.By using this decomposition,the authors show that an■#-abundant semigroup is a normal■#-abundant semigroup if and only if it is strong sem- ilattice of completely■#-simple semigroups.
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The usual Green relations,*-Green relations are generalized to #-Green relations and the semilattice decomposition of■#-abundant semigroups is given.By using this decomposition,the authors show that an■#-abundant semigroup is a normal■#-abundant semigroup if and only if it is strong sem- ilattice of completely■#-simple semigroups.
Key concepts: Semilattice, Semigroup, Mathematics, Decomposition, Simple (philosophy), Pure mathematics, Chemistry, Organic chemistry