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Alberto TonoloProfessore Associato - Mat02 -
Algebra |
[Attivita` didattica |
Research Interests | Some
Publications | Recent Publications | Preprints
| Other Links]
Algebra , Laurea Magistrale, Corso di Studi in Ingegneria Informatica
Matematica Discreta e Probabilità, Corso di Studi in Ingegneria Informatica
Elementi di Algebra, Corso di Studi in Ingegneria Informatica
Matematica Discreta e Probabilità, Corso di Studi in Ingegneria Informatica
Topological Groups and Modules
Rings and Categories of Modules
I am an editor of the International Electronic Journal of Algebra
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On a class of strongly quasi injective modules, Rend. Sem. Mat. Univ. Padova 82 (1989) pp. 115--131.
On global controllability of linear time dependent control systems, Note Acc. Lincei s. 9, v. 1 (1990) pp. 329--333.
On the existence of a finest equivalent linear topology, Comm. Algebra 20(2), (1992) pp. 437-455; Erratum ibid. 22(6), (1994), p. 2317.
(coauthor D. Dikranjan) On the lattice of linear module topologies, Comm. Algebra 21(1), (1993) pp. 275-298.
(coauthor D. Dikranjan) On a characterization of linear compactness, Riv. Mat. Pura ed Appl. 17, (1995) pp. 95-106.
On a class of minimal topological modules, Proceedings of Conference "Abelian groups and modules", A.Facchini and C.Menini (eds.) Padova 1994, Kluwer 343, (1995) pp. 459-466.
On the classes of dense and closed subobjects, Journal of Pure and Applied Algebra 110, (1996) pp. 81-89.
Total C-denseness Comm. Algebra 24(7), (1996) pp. 2325-2339.
(coauthors R. Colpi and G. D'Este) Quasi-Tilting Modules and Counter Equivalences, J. Algebra 191, (1997) pp. 461-494.
(coauthors R.Colpi and J.Trlifay) Partial Cotilting Modules and the Lattices Induced by Them, Comm. Algebra, 25(10), (1997) pp. 3225-3237.
On a duality with "less than usual" reflexive abstract modules, Proc. Algebra Conference for the 60 birthday of A.Orsatti, Lecture Notes in Pure and Applied Mathematics 201, (1998) pp.403-409.
(coauthors D.Dikranjan) On the minimality of powers of minimal w-bounded abelian groups, Proc. Amer. Math. Soc. 127(10), (1999) pp. 3101--3110.
Generalizing Morita duality:a homological approach, J. Algebra 232, (2000) pp. 282--298.
On the complementarity of two quasi-tilting triples, Comm. Algebra, 29(1), (2001) pp. 167-175.
(coauthors K. R. Fuller and W. D. Burgess) A note on block triangular presentations of rings and finitistic dimension, Rend. Sem. Mat. Univ. Padova, Vol. 105 (2001), pp. 207--214.
(coauthors L.Angeleri Hugel and Jan Trlifaj) Tilting Preenvelopes and Cotilting Precovers, Algebras and Representation Theory, 4 (2001), pp. 155--170.
(coauthor E. Gregorio) Weakly tilting bimodules, Forum Math. 13 (2001), pp. 589--614.
Tilting Modules of Finite Projective Dimension: Sequentially Static and Costatic Modules, Journal of Algebra and its Applications, Vol. 1, n. 3, (2002) pp.295--305.
On a finitistic cotilting type duality, Comm. Algebra, 30 (2002), n. 10, 5091--5106.
(coauthors F. Mantese and P. Ruzicka) Cotilting Versus Pure-Injective Modules, Pacific Journal of Mathematics 212, n. 2, (2003), 321--332.
(coauthor F. Mantese) Natural Dualities, Algebras and Representation Theory, 7 (2004), n. 1, pp. 43-52.
Sequentially Reflexive Modules, Comm. Algebra 32, n. 12, (2004), 4573--4587.
(coauthors D. Dikranjan and C. Milan) A characterization of the maximally almost periodic abelian groups, J. Pure Appl. Algebra 197, no. 1-3, (2005), 23--41.
n-Cotilting and n-Tilting Modules over Ring Extensions, Forum Math., 17 (2005), pp. 555-567.
(coauthor M. Archetti) Partial tilting and cotilting bimodules, J. Algebra 305, (2006), pp. 321-359
(coauthors R.Colpi and J.Trlifay) Perpendicular categories of infinite dimensional partial tilting modules and transfers of tilting torsion classes, J. Pure Appl. Algebra, 211, (2007), 223—234.
(coauthor F. Mantese) On classes defining a homological dimension, invited paper on Models, Modules and Abelian Groups, de Gruyter 2008, 431- 444.
(coauthors R.Colpi and F. Mantese) Cotorsion pairs, torsion pairs, and $\Sigma$-pure injective cotilting modules, J. Pure Appl. Algebra, 214, (2010), pp. 519–525.
(coauthor F. Mantese) Reflexivity in derived categories, Forum Math., 22/6 (2010), pp. 1161-1191.
(coauthor S. Bazzoni and F. Mantese) Derived equivalence induced by infinitely generated n-tilting modules, Proc. Amer. Math. Soc., to appear
(coauthors R.Colpi and F. Mantese) When the heart of a faithful torsion pair is a module category, J. Pure Appl. Algebra 215, (2011), 2923--2936.
(coauthor F. Mantese) On the heart associated with a torsion pair,
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