具有布尔t-类半群的整环
Integral domains with Boolean t-Class semigroup
摘要:
整环的t-类半群是由t-理想的同构类构成的半群,其运算由t-乘法导出。本文研究了具有布尔t-类半群的整环的GCD和稳定性条件。主要结果建立了有限特征的Prufer域和Bezout域的著名结果的t-类似物。
英文摘要:
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.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。