论文标题
准F-理想
Quasi f-Ideals
论文作者
论文摘要
该概念是近期的，并且已在论文[1] [2]，[5]，[10]，[11]，[12]，[13]，[14]，[14]和[15]中进行了研究。在本文中，我们将偏外的想法概括为准思想。这种扩展的理想类别比所有F-理想的阶级都要大得多。除了给2度的准理论介绍各种特征外，我们还确定了这些理想的所有最低素数理想。此外，已经描述了第二学位的准理论的构建。已经提供了用于计算Hilbert函数的公式和Hilbert系列的多项式环模量F-Wideal。
The notion off-ideals is recent and has been studied in the papers[1] [2], [5], [10], [11], [12], [13], [14] and [15]. In this paper, we have generalized the idea off-ideals to quasi f-ideals. This extended class of ideals is much bigger than the class of all f-ideals. Apart from giving various characterizations of quasi f-ideals of degree 2, we have determined all the minimal primes ideals of these ideals. Moreover, construction of quasi f-ideals of degree 2 has been described; the formula for computing Hilbert function and Hilbert series of the polynomial ring modulo quasi f-ideal has been provided.
