Integral domains with Boolean t-class semigroup
نویسندگان
چکیده
منابع مشابه
Integral domains with Boolean t - class semigroup
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. M...
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The t-class semigroup of an integral domain is the semigroup of the isomorphy classes of the t-ideals with the operation induced by ideal t-multiplication. This paper investigates ring-theoretic properties of an integral domain that reflect reciprocally in the Clifford or Boolean property of its t-class semi-group. Contexts (including Lipman and Sally-Vasconcelos stability) that suit best t-mul...
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ژورنال
عنوان ژورنال: Arabian Journal of Mathematics
سال: 2012
ISSN: 2193-5343,2193-5351
DOI: 10.1007/s40065-012-0009-2