Regularity of ideals of Borel type is linearly bounded
Sarfraz Ahmad, Imran Anwar
TL;DR
This paper proves that the regularity of certain monomial ideals with totally ordered associated primes can be bounded linearly, providing a new understanding of their algebraic complexity.
Contribution
It establishes a linear bound on the regularity of Borel type ideals with totally ordered associated primes, a novel result in algebraic combinatorics.
Findings
Regularity of these ideals is linearly bounded.
Associated prime ideals are totally ordered by inclusion.
Provides a new bound for algebraic complexity.
Abstract
We show that the regularity of monomial ideals whose associated prime ideals are totally ordered by inclusion is linearly bounded.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Polynomial and algebraic computation · Algebraic Geometry and Number Theory