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arXiv · 1601.07660

Integral domains with Boolean t-Class semigroup

S. Kabbaj·A. Mimouni
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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 Prufer domains and Bezout domains of finite character.

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S. Kabbaj, A. Mimouni. 2016-01-28. Integral domains with Boolean t-Class semigroup. https://arxiv.org/abs/1601.07660

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