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Nil-extensions of completely simple semirings

Tre艣膰 / Zawarto艣膰
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A semiring S is said to be a quasi completely regular semiring if for any a 鈭 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.
  • Department of Mathematics, University of Burdwan, Golapbag, Burdwan - 713104, West Bengal, India
  • Department of Mathematics, University of Burdwan, Golapbag, Burdwan - 713104, West Bengal, India
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