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2009•Journal of Kunming UniversityRequires access

The Semidirect Product of lpp Semigroups

Yinghui Li

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Abstract

The regular semigroup in algebra theory is thoroughly studied semigroups,while lpp semigroup is far more extensive one and its structure is greatly different.The semidirect product is an important tool at studying the construction of the semigroup.Using the semidirect product to depict the structure of lpp semigroups and combine some conclusions of rpp semigroups to get semidirect product of lpp semigroup and structure rule of wreath product.

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What this paper is about

The regular semigroup in algebra theory is thoroughly studied semigroups,while lpp semigroup is far more extensive one and its structure is greatly different.The semidirect product is an important tool at studying the construction of the semigroup.Using the semidirect product to depict the structure of lpp semigroups and combine some conclusions of rpp semigroups to get semidirect product of lpp semigroup and structure rule of wreath product.

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Available abstract

The regular semigroup in algebra theory is thoroughly studied semigroups,while lpp semigroup is far more extensive one and its structure is greatly different.The semidirect product is an important tool at studying the construction of the semigroup.Using the semidirect product to depict the structure of lpp semigroups and combine some conclusions of rpp semigroups to get semidirect product of lpp semigroup and structure rule of wreath product.

Key concepts: Semidirect product, Wreath product, Semigroup, Mathematics, Product (mathematics), Krohn–Rhodes theory, Pure mathematics, Special classes of semigroups

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