Lidia Angeleri Hügel
Publications Books
Notes
MathSci
Preprints:
- with R. Laking, J. Stovicek, J.Vitória, Mutation and
torsion pairs, arxiv:2201.02147
- with F. Sentieri, Wide coreflective subcategories and
torsion pairs, arxiv:2304.00845
- with D. Pauksztello and J. Vitória, Fishing for
complements arXiv:2402.13356
- with R. Laking and F. Sentieri, Torsion pairs via the
Ziegler spectrum arxiv:2403.00475
Publications:
- with I. Herzog, R. Laking, Simples in a cotilting heart,
Mathematische Zeitschrift (2024) 307:12 link to
journal arxiv:2205.11883
- with W. Cao, Minimal silting modules and ring extensions
Science China Mathematics} 65 (2022), 1775-1794 link
to journal arxiv: 2011.12153
- with M. Hrbek, Parametrizing torsion pairs in derived
categories
Represent. Theory 25 (2021), 679-731 link
to journal arxiv:1910.11589
- with F. Marks, J. Stovicek, R. Takahashi, J. Vitória,
Flat ring epimorphisms and universal localisations of
commutative rings
The Quarterly Journal of Mathematics 71 (2020), 1489-1520. link
to journal arxiv:1807.01982
- with F. Marks, J. Vitória, Partial silting objects
and smashing subcategories
Mathematische Zeitschrift 296 (2020), 887-900.
link
to journal arxiv:1902.05817
- Silting objects
Bulletin of the London Mathematical Society 51 (2019)
658–690. arxiv:1809.02815
- with F. Marks, J. Vitória, A characterisation of
τ-tilting finite algebras
Model Theory of Modules, Algebras and Categories, Contemporary
Mathematics 730,
Amer. Math. Soc., Providence, RI, (2019), pp. 75-89. arxiv:1801.04312
- On the abundance of silting modules
Surveys in representation theory of algebras, Contemporary
Mathematics 716,
Amer. Math. Soc., Providence, RI (2018), 1-23. arxiv:1801.08370
- with J. Saroch, J. Trlifaj, Approximations
and Mittag-Leffler conditions -- the applications
Israel Journal of Mathematics 226 (2018), 757-780
Sharedit
arxiv:1612.01140
- with F. Marks, J. Vitória, Torsion pairs in silting
theory
Pacific Journal of Mathematics 291-2 (2017), 257-278.
arxiv:1611.08139
- with D. Kussin, Large tilting sheaves over weighted
noncommutative regular projective curves
Documenta Mathematica 22 (2017) 67-134 link
to journal arXiv:1508.03833
- with D. Kussin, Tilting and cotilting modules over
concealed canonical algebras
Mathematische Zeitschrift 285 (2017), 821–850 link to journal arXiv:1508.03752
- with S. König, Q. Liu, D. Yang, Recollements and
stratifying ideals
Journal of Algebra 484 (2017), 47--65. link to
journal arXiv:1606.05992
- with S. König, Q. Liu, D. Yang, Ladders and
simplicity of derived module categories
Journal of Algebra 472 (2017) 15–66 link to
journal arxiv:1310.3479
- with M. Hrbek, Silting modules over commutative rings,
International Mathematics Research Notices 2017(13) (2017),
4131–4151 link to journal
arxiv:1602.04321
- with F. Marks, J. Vitória, Silting modules and ring
epimorphisms
Advances
in Mathematics 303 (2016), 1044-1076.
link to
journal arxiv:1504.07169
- with F. Marks, J. Vitória, Silting modules.
International Mathematics Research Notices Vol. 2016, No.
4, (2016) pp. 1251–1284 link to journal
- with M.Saorín,
t-structures and cotilting modules over commutative noetherian
rings.
Mathematische
Zeitschrift 277 (2014), 847–866. link
to journal
- with D. Pospisil, J. Stovicek, J. Trlifaj, Tilting, cotilting, and spectra of
commutative noetherian rings.
Transactions Amer. Math. Soc. 366 (2014),
3487–3517. link to arXiv
- with J. Sánchez, Tilting
modules over tame hereditary algebras,
Journal für die Reine und Angewandte Mathematik,
682 (2013), 1–48. link
to journal
- Infinite
dimensional tilting theory,
in "Advances in Representation Theory of Algebras", Bielefeld 2012,
edited by D. J.
Benson, H. Krause, A. Skowronski, EMS
Series of Congress Reports 2013,
pp.1-37. pdf
- with S. König, Q. Liu, On
the uniqueness of stratifications of derived module
categories,
Journal of Algebra 359
(2012), 120–137.
link to journal
- with S. König, Q. Liu, Jordan-Hölder
theorems for derived module categories of piecewise hereditary
algebras,
Journal of Algebra 352 (2012), 361-381. link
to journal
- with S. König, Q. Liu, D. Yang, Stratifying derived module categories
Comptes Rendus Mathématique
349 (2011), 1139-1144. link
to journal
- with S. König, Q. Liu, Recollements
and
tilting
objects,
Journal of Pure and Applied Algebra, 215 (2011),
420-438. link
to journal
- with D.
Herbera, Auslander-Reiten-components
over pure-semisimple hereditary rings
Journal of Algebra 331 (2011), 285-303. link
to journal
- with J. Sánchez, Tilting
modules arising from ring epimorphisms,
Algebras and Representation Theory, 14 (2011),
217-246. link
to journal
- with
S. Bazzoni, TTF triples in
functor categories,
Applied Categorical Structures 18 (2010),
585-613. link
to journal
- with M.
Archetti, Tilting modules
and universal localization
Forum Mathematicum 24 (2012) 709-731. pdf
- with D.
Herbera, J. Trlifaj, Baer
and Mittag-Leffler modules over tame hereditary artin
algebras
Mathematische Zeitschrift 265 (2010), 1-19. link
to journal
- with O.
Kerner, J. Trlifaj, Large
tilting modules and representation type,
Manuscripta Mathematica 132 (2010), 483 - 499. link
to journal
- with
J.A.
de
la
Peña,
Locally finitely generated
modules over rings with enough idempotents,
Journal of Algebra and its
Applications 8 (2009), 885 - 901 link to
journal
- with O. Mendoza, Homological dimensions in
cotorsion pairs,
Illinois Journal of
Mathematics 53 (2009), 251 - 263 link
to journal
- with S. Bazzoni, D. Herbera, A solution to the Baer
splitting problem,
Transactions Amer. Math. Soc. 360 (2008), 2409- 2421.
- with D. Herbera, Mittag-Leffler
conditions on modules,
Indiana University Mathematics Journal 57 (2008),
2459-2518 link to journal
- with J. Saroch, J.
Trlifaj, On the telescope
conjecture for module categories,
Journal of Pure and Applied Algebra 212 (2008),
297-310. link
to journal
- A key module over
pure-semisimple hereditary rings,
Journal of Algebra
307 (2007), 361-376.
link
to
journal
- with M.Saorín, Modules
with perfect decomposition,
Mathematica Scandinavica, 98 (2006), 1-25.
- with D. Herbera, J. Trlifaj: Tilting
modules and Gorenstein rings,
Forum Mathematicum, 18 (2006), 211-229.
- with
D.
Herbera, J. Trlifaj, Divisible modules and
localization,
Journal of Algebra 294 (2005),
519-551.
- with J.Trlifaj: Direct limits
of modules of finite projective dimension,
in Rings, Modules, Algebras, and Abelian Groups,
Lecture Notes in Pure and Appl. Math. 236 (2004) 27-44.
pdf
- Endocoherent
modules,
Pacific J.Math. 212 (2003), 1-11.
- Covers and envelopes via endoproperties of
modules,
Proceedings London Math. Soc. 86 (2003), 649-665.
- with J.Trlifaj: Tilting theory and the
finitistic dimension conjectures,
Transactions Amer. Math. Soc. 354 (2002), 4345--4358.
- Direct
summands of products,
Archiv der Mathematik 78 (2002), 12-23.
- with F.U.Coelho:
Infinitely
generated complements to partial tilting modules,
Math.Proc.Cambridge Phil.Soc. 132 (2002), 89-96.
- On
the existence of left and right almost split
morphisms,
in Representations of Algebras,
Lecture Notes in Pure and Applied Mathematics
224 (2002), 1-9.
- with
A.Tonolo, J.Trlifaj: Tilting
preenvelopes and cotilting
precovers,
Algebras and Representation Theory 4
(2001), 155-170.
- with
F.U.Coelho: Infinitely generated
tilting modules of finite projective
dimension,
Forum Mathematicum 13 (2001), 239-250.
- Finitely cotilting
modules,
Communications in Algebra 28 (2000), 2147-2172.
- with
F.U.Coelho: On the Auslander-Reiten-quiver of
a P1-hereditary artin algebra,
Journal of Pure and Applied Algebra 151 (2000), 11-29.
- with
S.O.Smalo: On real representations of quivers,
Colloquium Mathematicum 81 (1999), 293-297.
- with H.Valenta: A
duality result for almost split sequences,
Colloquium Mathematicum 80 (1999), 267-292.
- with F.U.Coelho: Postprojective
components for algebras in H1,
Archiv der Mathematik 69 (1997), 1-7.
- On a preprojective
*-module,
Communications in Algebra 25 (1997), 1143-1157.
- Almost split
sequences arising from the preprojective partition,
Journal of Algebra 194 (1997), 1-13.
- with
F.U.Coelho: A note on a certain class of tilted
algebras,
in Proceedings of the VIIIth International Conference
on Representation Theory of Algebras,
Geiranger 1996, Canadian Mathematical Society
Conference Proceedings 24, 1-6.
- P1-hereditary artin
algebras,
Journal of Algebra 176 (1995), 460-479.
- On the category P1 in
the preprojective partition,
Communications in Algebra 23 (1995), 57-80.
Books:
- with H.
Krause and D. Happel (editors): Handbook of Tilting Theory,
London Mathematical Society
Lecture Notes Series 332,
Cambridge University Press (2006), ISBN
0-521-68045-X.
- On some precovers and
preenvelopes,
Habilitationsschrift, München 2000. ISBN
3-89791-137-X pdf
Book reviews:
- Henning Krause: ``Homological Theory of
Representation'',
Jahresbericht der Deutschen Mathematiker-Vereinigung 124
(2022),
267–272 link
to journal
Notes:
- An Introduction to
Auslander-Reiten Theory,
Advanced School on Representation Theory and related Topics,
ICTP Trieste, January 2006. pdf