Commutative Algebra and Its Applications
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Scope of this subject
This cluster of papers focuses on the algebraic properties of monomial ideals, including their graded Betti numbers, local cohomology modules, symbolic powers, edge ideals, Cohen-Macaulay modules, Stanley depth, toric algebra, regularity bounds, and their connections to combinatorial topology.
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Research vocabulary
commutative algebra; monomial ideals; Hilbert functions; polynomial rings; local cohomology; local rings; Cohen-Macaulay rings; finitely generated modules; Castelnuovo-Mumford regularity; Hilbert series; numerical semigroups; edge ideals; minimal free resolutions; Betti numbers; local cohomology modules; Gorenstein rings; Noetherian rings; Noetherian local rings; associated primes; commutative Noetherian rings; complete intersections; Rees algebra; free resolutions; syzygies; graded Betti numbers
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Morton address: 36249558350719097 · morton4x16-v1
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