Given a long exact sequence of abelian groups $L:\,\, \cdot \cdot \cdot \to {L^{i - 1}\underrightarrow {{\xi ^{i - 1}}}\,{L^i}\,\underrightarrow {{\xi ^{i - 1}}}\,{L ...

Computable model theory investigates the algorithmic aspects of model theoretic structures, aiming to delineate the boundaries between the computable and non-computable within various algebraic and ...

It is shown that the extension functor defined on the category $\mathcal{L}$ of locally compact abelian groups is right-exact. Actually $\operatorname{Ext}^n$ is ...

Condensed mathematics was developed by Dustin Clausen and Peter Scholze to address difficulties in doing algebra on algebraic structures that carry a topology. For instance, we cannot do homological ...