3 papers
math.AC2025
A relative homology criterion of smoothness
Kostiantyn Iusenko, Eduardo do Nascimento Marcos, Victor do Valle Pretti
We investigate the relationship between smoothness and the relative global dimension of a ring extension. We prove that a smooth commutative algebra over has finite relativ…
math.RT2025
Stability for socle-projective categories of type
Kostiantyn Iusenko, Gabriel Bravo Rios, Robinson-Julian Serna
We extend the notion of stability in the non-abelian category of poset representations (introduced by Futorny and Iusenko) to the category of socle-projective representations of a…
math.KT2025
Homological properties of extensions of algebras
Kostiantyn Iusenko, John W. MacQuarrie
We consider a class of extensions of associative algebras, which we refer to as ``strongly proj-bounded extensions''. We prove that the finiteness of the left global dimension and…