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- W4387156640 abstract "We count the numbers of associated primes of powers of ideals as defined by Bandari, Hibi, and Herzog in 2014. We generalize those ideals to monomial ideals $operatorname{BHH}(m,r,s)$ for $r ge 2$, $m$, $s ge 1$; we establish partially the associated primes of powers of these ideals, and we establish completely the depth function of quotients by powers of these ideals: the depth function is periodic of period $r$ repeated $m$ times on the initial interval before settling to a constant value. The number of needed variables for these depth functions are lower than those from general constructions by H`{a}, Nguyen, Trung, and Trung (2021)." @default.
- W4387156640 created "2023-09-30" @default.
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- W4387156640 date "2023-09-26" @default.
- W4387156640 modified "2023-09-30" @default.
- W4387156640 title "Fluctuations in depth and associated primes of powers of ideals" @default.
- W4387156640 doi "https://doi.org/10.48550/arxiv.2309.15083" @default.
- W4387156640 hasPublicationYear "2023" @default.
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