Add to ORKGLet $(\mathcal{A},\mathcal{E})$ be an exact category. We establish basic results that allow one to identify sub(bi)functors of $\operatorname{Ext}_{\mathcal{E}}(-,-)$ using additivity of numerical functions and restriction to subcategories. We also study a small number of these new functors over commutative local rings in details, and find a range of applications from detecting regularity to understanding Ulrich modules.Comment: To appear in Nagoya Mathematical Journal. This arXiv version contains one additional result (than the Journal Version), namely Proposition 5.1.2
Let $R$ be an artin algebra and $\mathcal{C}$ an additive subcategory of $\operatorname{mod}(R)$. We...
This thesis gives some results in the topics of modules and categories as they directly relate with ...
Let $\mathcal{E}=(\mathcal{A},\mathcal{S})$ be an exact category with enough projectives $\mathcal{P...
. In a series of papers starting with [ASo] additive subbifunctors F of the bifunctor Ext ( ; ) ar...
with an appendix by B. KELLER Abstract. In a series of papers starting with [ASo] additive subbifunc...
AbstractGiven a subbifunctor F of Ext1(,), one can ask if one can generalize the construction of the...
Ext modules have a number of applications in homological algebra and commutative abstract algebra as...
Recently, Wang, Wei and Zhang introduced the notion of recollements of extriangulated categories. In...
We study category equivalences between some additive subcategories of module categories. As its appl...
In this work we introduce the notion of higher $\mathbb{E}$-extension groups for an extriangulated c...
This dissertation examines subfunctors of Ext relative to covering (enveloping) classes and the theo...
For a nice-enough category $\mathcal{C}$, we construct both the morphism category ${\rm H}(\mathcal{...
The notion of extriangulated category was introduced by Nakaoka and Palu giving a simultaneous gener...
AbstractFor any rings R and S with 1, it is showed that the following conditions are equivalent: 1.(...
Inspired by the work of C. Psaroudakis, for an abelian category and a Serre subcategory of it, we in...
Let $R$ be an artin algebra and $\mathcal{C}$ an additive subcategory of $\operatorname{mod}(R)$. We...
This thesis gives some results in the topics of modules and categories as they directly relate with ...
Let $\mathcal{E}=(\mathcal{A},\mathcal{S})$ be an exact category with enough projectives $\mathcal{P...
. In a series of papers starting with [ASo] additive subbifunctors F of the bifunctor Ext ( ; ) ar...
with an appendix by B. KELLER Abstract. In a series of papers starting with [ASo] additive subbifunc...
AbstractGiven a subbifunctor F of Ext1(,), one can ask if one can generalize the construction of the...
Ext modules have a number of applications in homological algebra and commutative abstract algebra as...
Recently, Wang, Wei and Zhang introduced the notion of recollements of extriangulated categories. In...
We study category equivalences between some additive subcategories of module categories. As its appl...
In this work we introduce the notion of higher $\mathbb{E}$-extension groups for an extriangulated c...
This dissertation examines subfunctors of Ext relative to covering (enveloping) classes and the theo...
For a nice-enough category $\mathcal{C}$, we construct both the morphism category ${\rm H}(\mathcal{...
The notion of extriangulated category was introduced by Nakaoka and Palu giving a simultaneous gener...
AbstractFor any rings R and S with 1, it is showed that the following conditions are equivalent: 1.(...
Inspired by the work of C. Psaroudakis, for an abelian category and a Serre subcategory of it, we in...
Let $R$ be an artin algebra and $\mathcal{C}$ an additive subcategory of $\operatorname{mod}(R)$. We...
This thesis gives some results in the topics of modules and categories as they directly relate with ...
Let $\mathcal{E}=(\mathcal{A},\mathcal{S})$ be an exact category with enough projectives $\mathcal{P...