返老还童
发表于 2025-3-25 05:12:54
Lecture Notes in Networks and SystemsRecently, chains of increasing symmetric ideals have attracted considerable attention. In this note, we summarize some results and open problems concerning the asymptotic behavior of several algebraic and homological invariants along such chains, including codimension, projective dimension, Castelnuovo-Mumford regularity, and Betti tables.
Contracture
发表于 2025-3-25 08:36:57
Marc-André Jung,Tim FingscheidtWe present a question which implies a complete positive answer for the Bass-Quillen Conjecture.
担心
发表于 2025-3-25 15:37:08
Philipp Heidenreich,Abdelhak M. ZoubirOver the last 25 years the study of algebraic, homological and combinatorial properties of powers of ideals has been one of the major topics in Commutative Algebra. In this article, we survey the recent results concerning the associated primes, regularity, depth and Stanley depth of (symbolic) powers of cover ideals of graphs.
无底
发表于 2025-3-25 16:45:25
Nearly Normally Torsionfree Ideals,We describe all connected graphs whose edge ideals are nearly normally torsionfree. We also prove that the facet ideal of a special odd cycle is nearly normally torsionfree. Finally, we give a necessary condition for a .-spread principal Borel ideal generated in degree 3 to be nearly normally torsionfree.
CHOIR
发表于 2025-3-25 23:39:18
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Cursory
发表于 2025-3-26 01:04:18
On the Symbolic Powers of Binomial Edge Ideals,We show that under some conditions, if the initial ideal . of an ideal . in a polynomial ring has the property that its symbolic and ordinary powers coincide, then the ideal . shares the same property. We apply this result to prove the equality between symbolic and ordinary powers for binomial edge ideals with quadratic Gröbner basis.
EXTOL
发表于 2025-3-26 06:46:48
Multigraded Betti Numbers of Some Path Ideals,We provide formulas for multigraded Betti numbers of path ideals of lines and star graphs.
移植
发表于 2025-3-26 09:36:44
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COKE
发表于 2025-3-26 13:28:12
Asymptotic Behavior of Symmetric Ideals: A Brief Survey,Recently, chains of increasing symmetric ideals have attracted considerable attention. In this note, we summarize some results and open problems concerning the asymptotic behavior of several algebraic and homological invariants along such chains, including codimension, projective dimension, Castelnuovo-Mumford regularity, and Betti tables.
Latency
发表于 2025-3-26 18:25:43
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