L. Salce

Publications103
h-index19
Citations1,590
Highly Influential Citations119
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Modules over non-Noetherian domains
Commutative domains and their modules Valuation domains Prufer domains More non-Noetherian domains Finitely generated modules Projectivity and projective dimension Divisible modules Topology and…
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Cotorsion theories for abelian groups
A soft introduction to algebraic entropy
AbstractThe goal of this mainly expository paper is to develop the theory of the algebraic entropy in the basic setting of vector spaces V over a field K. Many complications encountered in more…
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Almost perfect domains
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A general notion of algebraic entropy and the rank-entropy
TLDR
A general definition of a subadditive invariant i of Mod(R), and the related notion of algebraic entropy of endomorphisms of R-modules, with respect to i, and it is shown that the rank-entropy satisfies the Addition Theorem.
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Rings, Modules, Algebras, and Abelian Groups
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Strongly Flat Covers
It is proved that all modules over an integral domain R have strongly flat cover if and only if every flat R‐module is strongly flat. The domains satisfying this property are characterized by the…
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Almost perfect commutative rings
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ALGEBRAIC ENTROPY FOR ABELIAN GROUPS
The theory of endomorphism rings of algebraic structures allows, in a natural way, a systematic approach based on the notion of entropy borrowed from dynamical systems. Here we study the algebraic…
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Intrinsic algebraic entropy
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