Abelian categories and module theory constitute a fundamental framework in modern algebra, offering a robust language and conceptual toolkit for addressing problems that span pure and applied ...

PIONEERING D-MODULE THEORY Kashiwara is best known for his work on D-module theory, a new basis for studying systems of linear differential equations with algebraic analysis, according to the ...

G. Griffith ELDER, Ramified extensions of degree p and their Hopf–Galois module structure, Journal de Théorie des Nombres de Bordeaux, Vol. 30, No. 1 (2018), pp. 19-40 ...

We generalize to theories of modules (complete or not) a result of U. Felgner stating that a complete theory of abelian groups is a Horn theory if and only if it is closed under products. To prove ...

To do so, an introduction to cardinality and Zorn's lemma in set theory is presented in detail. The second part is to complete the proof of canonical forms for linear endomorphisms and matrices. For ...

A new study explores how positive geometry could unify quantum physics and cosmology, offering a path toward a Theory of Everything.