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pro vyhledávání: '"KC, Nawaj"'
Autor:
KC, Nawaj, Pollitz, Josh
This article is concerned with nonzero modules of finite length and finite projective dimension over a local ring. We show the Loewy length of such a module is larger than the regularity of the ring whenever the ring is strict Cohen-Macaulay, establi
Externí odkaz:
http://arxiv.org/abs/2404.18368
Autor:
KC, Nawaj, Levins, Andrew J. Soto
We introduce and study a notion of Serre liftable modules; these are modules that are liftable to modules of the maximal possible dimension over a regular local ring. We establish new cases of Serre's positivity conjecture over ramified regular local
Externí odkaz:
http://arxiv.org/abs/2404.17572
Autor:
KC, Nawaj
When $k$ is a field, the classical Jacobian criterion computes the singular locus of an equidimensional, finitely generated $k$-algebra as the closed subset of an ideal generated by appropriate minors of the so-called Jacobian matrix. Recently, Hochs
Externí odkaz:
http://arxiv.org/abs/2403.08128