5 papers
Large homomorphisms on the homotopy lie coalgebra
Andrew J. Soto Levins, Ryan Watson
We introduce and study a notion of large homomorphisms on the homotopy lie coalgebra; these homomorphisms are a variant of the large homomorphisms of Levin. As a consequence of our…
Quasi-Gorenstein morphisms of commutative local dg-algebras
Zachary Nason, Andrew J. Soto Levins, Ryan Watson
We introduce quasi-Gorenstein morphisms of commutative local dg-algebras and use a Gorenstein version of the virtually small property to characterize them, a result which is new ev…
Lifting systems for finite length modules
Benjamin Katz, Nawaj KC, Kesavan Mohana Sundaram +2
This paper is concerned with lifting modules along a surjective map of noetherian local rings, say . A finitely generated -module is a naive…
Module-Theoretic Characterizations of Gorenstein Morphisms
Andrew Soto Levins, Prashanth Sridhar
The Gorenstein property in local algebra admits several characterizations via its module category. The goal of this paper is to collect and generalize such characterizations to the…
On liftings of modules of finite projective dimension
Nawaj KC, Andrew J. Soto Levins
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…