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Pre-Lie Algebras, Their Multiplicative Lattice, and Idempotent Endomorphisms

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  1. Article

    Open Access

    Spectra of Groups

    The aim of this paper is to investigate the behaviour of prime and semiprime subgroups of groups, and their relation with the existence of abelian normal subgroups. In particular, we study the set Spec(G) of all ...

    Alberto Facchini, Francesco de Giovanni in Algebras and Representation Theory (2023)

  2. Article

    Open Access

    Free Covers and Minimal Sets of Generators

    We continue our study of the relation between existence of projective covers and existence of minimal sets of generators for right modules over an arbitrary ring.

    Alberto Facchini in Mediterranean Journal of Mathematics (2022)

  3. Article

    Open Access

    Projective covers over local rings

    We describe the structure of the projective cover of a module \(M_R\) M ...

    Sofia Ercolanoni, Alberto Facchini in Annali di Matematica Pura ed Applicata (1923 -) (2021)

  4. Article

    Pretorsion theories, stable category and preordered sets

    We show that in the category of preordered sets there is a natural notion of pretorsion theory, in which the partially ordered sets are the torsion-free objects and the sets endowed with an equivalence relatio...

    Alberto Facchini in Annali di Matematica Pura ed Applicata (19… (2020)

  5. Article

    Correction to: “Familial venoms”: a thallium intoxication cluster

    The original version of this article unfortunately contained a mistake. The presentation of Table 1 was incorrect. The corrected Table 1 is given below.

    Francesco Ratti, Alberto Facchini, Eduardo Beck, Sara Cazzaniga in Intensive Care Medicine (2018)

  6. Article

    Refractory Intracranial Hypertension in Posterior Reversible Encephalopathy Syndrome

    Posterior reversible encephalopathy syndrome (PRES) is a largely reversible disease with long-term favorable outcome. A minority of patients, however, may develop progressive cerebral edema and ischemia result...

    Alberto Facchini, Sandra Magnoni, Vittorio Civelli, Fabio Triulzi in Neurocritical Care (2013)

  7. Article

    Open Access

    Direct-sum decompositions of modules with semilocal endomorphism rings

    According to the classical Krull–Schmidt Theorem, any module of finite composition length decomposes as a direct sum of indecomposable modules in an essentially unique way, that is, unique up to isomorphism of...

    Alberto Facchini in Bulletin of Mathematical Sciences (2012)

  8. Article

    Divisible modules and space of divisibility of an integral domain

    Se A è un modulo divisibile su un dominio d'integrità R e Q è il campo delle frazioni di R, sia RA⊂ Q il massimo sopraanello di R tale che A possa essere dotato della struttura di RA-modulo. La struttura di RA ri...

    Alberto Facchini in Annali di Matematica Pura ed Applicata (1989)

  9. Article

    Loewy and Artinian modules over commutative rings

    Si dimostra che se M è un modulo Artiniano con zoccolo semplice su un anello commutativo R, allora EndR(M) è commutativo locale Noetheriano completo e che M, come EndR (M)-modulo, è l'inviluppo iniettivo dell'uni...

    Alberto Facchini in Annali di Matematica Pura ed Applicata (1981)