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
MSC 2010
- 20M12
- 20Mxx
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