Integral domains with Boolean t-class semigroup

S. Kabbaj; A. Mimouni

doi:10.1007/s40065-012-0009-2

Integral domains with Boolean t-class semigroup

S. Kabbaj^*
, A. Mimouni

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The t-class semigroup of an integral domain is the semigroup of the isomorphy classes of the t-ideals with the operation induced by t-multiplication. This paper investigates integral domains with Boolean t-class semigroup with an emphasis on the GCD and stability conditions. The main results establish t-analogues for well-known results on Prüfer domains and Bézout domains of finite character.[Figure not available: see fulltext.].

Original language	English
Pages (from-to)	89-95
Number of pages	7
Journal	Arabian Journal of Mathematics
Volume	1
Issue number	1
DOIs	https://doi.org/10.1007/s40065-012-0009-2
State	Published - 1 Apr 2012

Bibliographical note

Publisher Copyright:
© 2012, The Author(s).

ASJC Scopus subject areas

General Mathematics

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10.1007/s40065-012-0009-2

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abstract = "The t-class semigroup of an integral domain is the semigroup of the isomorphy classes of the t-ideals with the operation induced by t-multiplication. This paper investigates integral domains with Boolean t-class semigroup with an emphasis on the GCD and stability conditions. The main results establish t-analogues for well-known results on Pr{\"u}fer domains and B{\'e}zout domains of finite character.[Figure not available: see fulltext.].",

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AB - The t-class semigroup of an integral domain is the semigroup of the isomorphy classes of the t-ideals with the operation induced by t-multiplication. This paper investigates integral domains with Boolean t-class semigroup with an emphasis on the GCD and stability conditions. The main results establish t-analogues for well-known results on Prüfer domains and Bézout domains of finite character.[Figure not available: see fulltext.].

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Integral domains with Boolean t-class semigroup

Abstract

Bibliographical note

ASJC Scopus subject areas

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