On the Structure Space of a Г -Semigroup Via Its Left Operator Semigroup

Abstract

The structure space of a semigroup endowed with hull kernel topology is introduced and studied. Also the structure space of a Г -semigroup is defined and a homeomorphism has been established between structure space of a Г -semigroup and the structure space of its left operator semigroup. Moreover, various properties of structure space of a Г -semigroup are studied via its left operator semigroup.

Keywords

• operator semigroup
• г -semigroup
• prime ideal
• hull-kernel topology
• 20m12
• 20mxx