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PUBLICATIONS
Works in
progress
A. Berarducci, Zero-groups and maximal tori , Proceedings
of the Logic Colloquium 2004, ASL European Summer Meeting,
Torino, 25-31 July 2004, AK Peters, LNL, To appear
S. L'Innocente-V. Puninskaya-C. Toffalori, Minimal modules
over serial rings, Comm. Algebra, to appear
G. Puninski-V. Puninskaya-C. Toffalori, Krull-Gabriel
dimension and the model-theoretic complexity of the category of
modules over group rings of finite groups, J. London Math.
Society, to appear
G. Puninski-C. Toffalori, Towards the decidability of the
theory of modules over finite commutative rings
V. Puninskaya-C. Toffalori, Superdecomposable pure
injective modules over commutative Noetherian rings, J.
Algebra and Applications, to appear
C. Toffalori-K. Vozoris, Notes on local o-minimality
I. Herzog-S. L'Innocente, The Nonstandard quantum plane,
Special Issue of the Annals of Pure and Applied Logic (APAL),
arising from Logic Colloquium 2006. To appear
2008
2008 S. L'Innocente-A.
Macintyre, Towards decidability of the theory of
pseudo-finite dimensional representations of sl_2 k , In:A.
Ehrenfeucht, V.W. Marek, M. Srebrny. Andrzej Mostowski and
Foundational Studies. IOS Press, 2008, 235-260
2007
G. Puninski-V. Puninskaya-C. Toffalori, Decidability
for modules over discrete valuation domains, Annals Pure
Applied Logic 145, 258-275
S. L'Innocente-M. Prest, Rings of definable scalars of
Verma modules, Journal of Algebra and its applications, 6
(2007), no. 5, 779-787
2006
A.
Berarducci, O-minimal spectra, infinitesimal subgroups and
cohomology , Preprint April 9, 2006, 21 pp. ArXiv.org,
math.LO/0604186
S.
Cittadini-C. Toffalori, On
pairs of torsionfree modules over Dedekind domains, Arch.
Math. Logic 45, 75-95
S.
L’Innocente-V. Puninskaya-C. Toffalori, Minimalities
and modules over Dedekind-like rings, Comm. Algebra
34, 2453-2466
G.
Puninski-V. Puninskaya-C. Toffalori, Superdecomposable
pure-injective modules and integral group rings, J.
London Math. Soc.73, 48-64
2005
A.
Berarducci, M. Otero, Y. Peterzil, A. Pillay, A descending chain
condition for groups definable in o-minimal structures, Annals
of Pure and Applied Logic, 134 (2005) 303-313
S.
L’Innocente-V. Puninskaya-C. Toffalori, Strongly
minimal modules over group rings, Comm. Algebra
33, 2089-2107
S.
Leonesi-C. Toffalori, Filling
certain cuts in Discrete Weakly o-minimal Structures, Math.
Logic Quart.
51, 148-153
V.
Puninskaya-C. Toffalori, Vaught’s
Conjecture and Group Rings, Comm. Algebra 33, 4267-4281
2004
A.
Berarducci and M. Otero, An additive measure in o-minimal
expansions of fields, Quarterly Journal of Mathematics 55
(2004) 411--419A.
Berarducci
and T. Servi, An effective version of Wilkie's theorem of the
complement and some effective o-minimality results, Annals
of Pure and Applied Logic 125/1-3 (2004) 43--74
S.
Leonesi-C. Toffalori, On
the Boolean algebras of definable sets in weakly o-minimal
theories, Math. Logic Quart. 50, 241-248
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