2003•Journal of Zhejiang University(Sciences Edition)Requires access

Some propertes of completely π-regular semigroups

Han Guang

Abstract

By introducing the notations a* and a- on completely πregular semigroups, some properties of completely πregular semigroups are discussed, and some equivalent conditions are obtained of semigroup S, every proper left ideal of which is a completely πregular semigroup (GVsemigroup), and completely Archimedean semigroups are characterized.

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Key concepts: Semigroup, Mathematics, Ideal (ethics), Regular semigroup, Pure mathematics, Special classes of semigroups, Cancellative semigroup, Notation