We start by surveying the tools of set–theoretic homological algebra that make it possible to
deconstruct roots of the contravariant Ext functor, ie., express them as transfinite extensions …

We survey some recent developments in understanding homological properties of finitely
generated modules over a complete intersection. These properties mainly concern with …

Ext modules have a number of applications in homological algebra and commutative
abstract algebra as a whole. In this document we prove Ext modules are well-defined and …

We study the derived functors of Hom that are computed by using flat resolutions of Hom.
These are denoted Ext n. We compare these with the usual Extn's and show that Ext 1⊂ …

We survey the set–theoretic methods of module theory that make it possible to equip roots of
the contravariant Ext functor with filtrations built from the small roots. The power of these …

arXiv:2405.08432v1 [math.AC] 14 May 2024 Page 1 arXiv:2405.08432v1 [math.AC] 14 May
2024 HOCHSTER’S TYPE FORMULAE FERNANDO SANCHO DE SALAS AND ALEJANDRO …

We recover some data of a module $ M $ from the Ext-family $\{\Ext^ i_R (M, R)\} $. In this
regard, we investigate homological subsets of $\Spec (R) $, defined by the help of Ext …

This paper is a report of my lecture at the International Conference on the Representation
Theory of Algebras which preceded the Euroconference on Infinite Length Modules. While it …

The first section of this note is devoted to giving a unified proof of these results. This is
followed by showing that there exist abelian categories with an object C such that Ext'(C,.) …

Modules M such that Ext R(M,−) Commutes with Direct Limits Page 1 Algebr Represent Theor
(2013) 16:1799–1808 DOI 10.1007/s10468-012-9382-y Modules M such that Ext 1 R(M,−) …