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.
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This work was funded by King Fahd University of Petroleum and Minerals under Project #MS/t-Class/257.
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Kabbaj, S., Mimouni, A. Integral domains with Boolean t-class semigroup. Arab. J. Math. 1, 89–95 (2012). https://doi.org/10.1007/s40065-012-0009-2
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DOI: https://doi.org/10.1007/s40065-012-0009-2