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Families of generalized Cohen–Macaulay and filter rings
Journal of Algebra and Its Applications ( IF 0.8 ) Pub Date : 2021-07-15 , DOI: 10.1142/s0219498822502140
Y. Azimi 1 , N. Shirmohammadi 1
Affiliation  

Let R be a commutative ring with unity, a,bR, and I an ideal of R. Define R(I)a,b to be +/(I2(t2+at+b)), a quotient of the Rees algebra. In this paper, we investigate when the rings in the family are generalized Cohen–Macaulay or filter rings and show that these properties are independent of the choice of a and b.



中文翻译:

广义 Cohen-Macaulay 和过滤环的族

R是一个统一的交换环,一个,bR,一个理想的R. 定义R()一个,b成为+/(2(2+一个+b)),里斯代数的商。在本文中,我们研究了族中的环何时是广义的 Cohen-Macaulay 环或滤波器环,并表明这些属性与选择的环无关一个b.

更新日期:2021-07-15
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