Given a length function L on the R-modules of a unital ring R, for each sofic group Γ we
define a mean length for every locally L-finite RΓ-module relative to a bigger RΓ-module. We …

The validity of the Addition Theorem for algebraic entropies ent L induced by a non-discrete
length function L on the category of locally L-finite modules over an arbitrary ring is proved …

Let G be a set and let s be a net of finite subsets of G. If pS, vq is a pre-normed semigroup,
that is, a semigroup S together with a non-negative real-valued function v, we introduce a …

Algebraic Entropies for Abelian Groups with Applications to the Structure of Their
Endomorphism Rings: A Survey | SpringerLink Skip to main content Advertisement …

Given a length function L on the R-modules of a unital ring R, for each sofic group $\Gamma
$ we define a mean length for every locally L-finite $ R\Gamma $-module relative to a bigger …

Historically, the study of modules over finite dimensional algebras has started with the study
of the ones with finite dimension. This is sufficient when dealing with a finite dimensional …

We partially generalize Peters' formula [Adv. in Math. 33 (1979), pp. 1–13] on modules over
the group ring $\mathbb {F}\Gamma $ for a given finite field $\mathbb {F} $ and a sofic group …

arXiv:2109.09538v1 [math.RT] 20 Sep 2021 Page 1 arXiv:2109.09538v1 [math.RT] 20 Sep
2021 ON COSILTING HEARTS OVER THE KRONECKER ALGEBRA Alessandro Rapa …

Let C be an (Ab. 4⁎) Grothendieck category, that is, products are exact in C. Given a
hereditary torsion class T⊆ C, we study the exactness of products in the Gabriel localization …

Let R be a non-discrete Archimedean valuation domain, G an R-module, Φ∈ EndR (G). We
compute the algebraic entropy entv (Φ), when Φ is restricted to a cyclic trajectory in G. We …