Nil-extensions of completely simple semirings

• Autorzy: Sunil K. Maity , Rituparna Ghosh
• Języki publikacji: EN

Abstrakty

EN

A semiring S is said to be a quasi completely regular semiring if for any a ∈ S there exists a positive integer n such that na is completely regular. The present paper is devoted to the study of completely Archimedean semirings. We show that a semiring S is a completely Archimedean semiring if and only if it is a nil-extension of a completely simple semiring. This result extends the crucial structure theorem of completely Archimedean semigroup.

Słowa kluczowe

EN

ideal extension; nil-extension; bi-ideal; completely Archimedean semirings; completely simple semiring

Kategorie tematyczne

• 20M10: General structure theory
• 20M07: Varieties and pseudovarieties of semigroups

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2013
• Tom: 33
• Numer: 2
• Strony: 201-209

Daty

wydano

2013

otrzymano

2013-04-23

poprawiono

2013-05-02

Twórcy

autor

Sunil K. Maity

• Department of Mathematics, University of Burdwan, Golapbag, Burdwan - 713104, West Bengal, India

autor

Rituparna Ghosh

• Department of Mathematics, University of Burdwan, Golapbag, Burdwan - 713104, West Bengal, India

Bibliografia

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Identyfikatory

DOI

10.7151/dmgaa.1206