2020/09/08 by Hasan Mahmood, Mahmood, Hasan, Fazal Ur Rehman +5
Mathematics · #05E45 #13C14 #13F55 #3F20 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:05E45 #msc:13C14 #msc:13F55 #msc:3F20
paper · pdf · doi:10.48550/arxiv.2009.03641
arxiv created 2020/09/08 · arxiv updated 2020/09/09
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.