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Annals of the University of Bucharest (mathematical series), ISSN 2067-9009 is a mathematical research journal, published by the University of Bucharest,
Faculty of Mathematics and Computer Science. This journal continues Analele Universitatii din Bucuresti-Matematica, founded in 1952. Annals of the University of Bucharest
(mathematical series) aims at publishing high level original research papers and surveys, in all areas of pure and applied mathematics.
The papers published in this journal are abstracted in Mathematical Reviews
and Zentralblatt Math. The journal consists of one yearly volume divided in 2 issues.
Contributions should be in English and should be sent to one of the members of the Editorial Board or to one of the Editorial Secretaries.
Information for authors. LaTex template.
FACULTY of MATHEMATICS and COMPUTER SCIENCE
UNIVERSITY of BUCHAREST
Str. Academiei 14
010014 Bucharest, Romania
Contact: annalsub fmi.unibuc.ro
ISSN 2067-9009
CABIRIA ANDREIAN-CAZACU (University of Bucharest, Cabiria.Andreian@imar.ro) • VIOREL BARBU (University of Iasi, vb41@uaic.ro) • LUCIAN BEZNEA ("Simion Stoilow" Inst.of Math., Lucian.Beznea@imar.ro) • HAIM BREZIS (The State University of New Jersey, brezis@math.rutgers.edu) • STEFAAN CAENEPEEL (Vrije Universiteit Brussel, scaenepe@vub.ac.be) • ION CHITESCU (University of Bucharest, ionchitescu@yahoo.com) • PHILIPPE CIARLET (City University of Hong Kong, MAPGC@cityu.edu.hk) • DOINA CIORANESCU (Universite Pierre et Marie Curie, cioran@ann.jussieu.fr) • NICOLAIE D. CRISTESCU (University of Bucharest, cristesc@ufl.edu) • ROMULUS CRISTESCU (University of Bucharest, romuluscristescu@yahoo.com) • IOAN CUCULESCU (University of Bucharest, icucul@fmi.unibuc.ro) • NICOLAE DINCULEANU (University of Florida, nd@math.ufl.edu) • VIOREL IFTIMIE(University of Bucharest, viftimie@fmi.unibuc.ro) • GEORGE GEORGESCU (University of Bucharest, georgescu@fmi.unibuc.ro) • PALTIN IONESCU (University of Bucharest, Paltin.Ionescu@imar.ro) • MARIUS IOSIFESCU ("Gh. Mihoc-C. Iacob" Inst. of Math. Statist. and Appl. Math, miosifes@acad.ro) • YVON MADAY (Universite Pierre et Marie Curie, maday@ann.jussieu.fr) • GERARD MAUGIN (Universite Pierre et Marie Curie, gerard.maugin@upmc.fr) • JEAN MAWHIN (Universite Catholique de Louvain, Jean.Mawhin@uclouvain.be) • PETRU MIRONESCU (Université de Lyon, mironescu@math.univ-lyon1.fr) • CONSTANTIN NASTASESCU (University of Bucharest, constantin_nastasescu@yahoo.com) • LIVIU ORNEA (University of Bucharest, lornea@gta.math.unibuc.ro) • DORIN POPESCU (University of Bucharest, Dorin.Popescu@imar.ro) • VASILE PREDA (University of Bucharest, preda@fmi.unibuc.ro) • ROGER TEMAM (Indiana University, temam@indiana.edu) • IOAN TOMESCU (University of Bucharest, ioan@fmi.unibuc.ro)
EDITOR-IN-CHIEF:
MANAGING EDITOR:
EDITORIAL SECRETARIES:
RADU MICULESCU, University of Bucharest, miculesc@yahoo.com
MIHAI-SORIN STUPARIU, University of Bucharest, stupariu@fmi.unibuc.ro
Previous issues (Analele Universitatii Bucuresti—matematica)
Volume 6 (LXIV), Nr. 2, 2015 Volume 6 (LXIV), Nr. 1, 2015 Volume 5 (LXIII), Nr. 2, 2014 Volume 5 (LXIII), Nr. 1, 2014 Volume 4 (LXII), Nr. 2, 2013 Volume 4 (LXII), Nr. 1, 2013 Volume 3 (LXI), Nr. 2, 2012 Volume 3 (LXI), Nr. 1, 2012 Volume 2 (LX), Nr. 2, 2011 Volume 2 (LX), Nr. 1, 2011 Volume 1 (LIX), Nr. 2, 2010 Volume 1 (LIX), Nr. 1, 2010 Anul LVIII — 2009 Nr.2 Anul LVIII — 2009 Nr. 1 Anul LVII — 2008 Nr.2 Anul LVII — 2008 Nr.1 Anul LVI — 2007 Nr.2 Anul LVI — 2007 Nr.1 Anul LV — 2006 Nr.2 Anul LV — 2006 Nr.1 Anul LIV — 2005 Nr.2 Anul LIV — 2005 Nr.1 Anul LIII — 2004 Nr.2 Anul LIII — 2004 Nr.1 Anul LII — 2003 Nr.2 Anul LII — 2003 Nr.1
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Algebre Hopf in teoria categoriilor, teoria reprezentarilor si combinatorica (Hopf algebras in category theory, representation theory and combinatorics)
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UEFISCDI - IDEI 0635, contract 253/05.10.2011
Descriere succinta a proiectului de cercetare
In acest proiect ne propunem sa continuam studiul algebrelor Hopf si al unor structuri algebrice strans legate de acestea, pe urmatoarele directii de cercetare:
Coactiuni ale unor clase de algebre Hopf pe anumite algebre;
Structuri braided monoidale versus bimonade monoidale;
Proprietati omologice ale algebrelor de incidenta;
Produse incrucisate;
Coomologie ciclica pentru algebre;
Structuri combinatorice cu aplicatii la algebre si coalgebre.
Director de proiect
Prof.dr. Sorin Dascalescu, Facultatea de Matematica si Informatica a Universitatii din Bucuresti.
Echipa de cercetare a grantului:
Prof. Dr. Constantin Nastasescu
Prof. Dr. Dragos Stefan
CS II Dr. Florin Panaite
Conf. Dr. Daniel Bulacu
Conf. Dr. Doru Staic
Asist. Dr. Miodrag Iovanov
Doctorand Madalina Barascu
Masterand Laura Nastasescu
Masterand Adrian Manea
Cercetare sprijinita financiar de acest grant:
S. Dascalescu, M. Iovanov si C. Nastasescu, Quiver Algebras, Path Coalgebras and co-reflexivity, Pacific Journal of Mathematics 262 (2013), 49-79.
M. Barascu si S. Dascalescu, Good gradings on upper block triangular matrix algebras, Comm. Algebra 41 (2013), 4290-4298.
S. Dascalescu, S. Predut si L. Van Wyk, Jordan isomorphisms of generalized structural matrix rings, Linear and Multilinear Algebra Vol. 61, No. 3, martie 2013, 369-376.
S. Dascalescu, M. C. Iovanov, S. Predut, Frobenius structural matrix algebras, Linear Alg. Appl. 439 (2013), 3166-3172.
D. Joita, C. Nastasescu si L. Nastasescu, Recollement of Grothendieck categories. Applications to schemes, Bull. Math. Soc. Sci. Math. Roum. 56 (104), no. 1, 2013, 109-116.
A. Petrescu-Nita si D. M. Staic, Symmetry group of two special types of carbon nanotori, Acta Crystallographica Section A, Volume 69, Part 4, 2013, 435-439.
M. Barascu, Good Z_p^2xZ_pxZ_p-gradings on matrix algebras, Annals of the University of Bucharest (Mathematical Series), 4(2) (2013), 425-431.
M. Iovanov, Complete path algebras and rationals modules, Bull. Math. Soc. Sci. Math. Roum. 56 (2013), 349-364.
F. Panaite, Equivalent crossed products and cross product bialgebras, Comm. Algebra 42(5)(2014), 1937-1952.
F. Panaite, Iterated crossed products, J. Algebra Appl. 13(7) (2014), 1450036 (14 p.).
S. Dascalescu, C. Nastasescu, L. Nastasescu, Frobenius algebras of corepresentations and group-graded vector spaces, J. Algebra 406 (2014), 226-250.
A. Makhlouf, F. Panaite, Yetter-Drinfeld modules for Hom-bialgebras, J. Math. Phys. 55, 013501 (2014).
S. Dascalescu, M. C. Iovanov, Semiperfect and coreflexive coalgebras, Forum Mathematicum 27(5) (2015), 2587-2607.
A. Makhlouf, F. Panaite, Hom-L-R-smash products, Hom-diagonal crossed products and the Drinfeld double of a Hom-Hopf algebra, J. Algebra 441 (2015), 314-343.
M. Iovanov, Triangular matrix coalgebras and applications, Linear and Multilinear Algebra 63(1) (2015), 46-67.
M. Hughes, D. M. Staic, Xie Xiangdong, Classification of a class of nonrigid Carnot groups, Journal of Lie Theory 25 (2015), 717-732.
D. M. Staic, A. Stancu, Operations on the Secondary Hochschild Cohomology, Homology, Homotopy and Applications 17 (2015), 129-146.
D. Bulacu si B. Torrecillas, On Frobenius and separable algebra extensions in monoidal categories. Applications to wreaths, Journal of Noncommutative Geometry 9(3) (2015), 707-774.
G. Graziani, A. Makhlouf, C. Menini, F. Panaite, BiHom-associative algebras, BiHom-Lie algebras and BiHom-bialgebras, Symmetry, Integrability Geom. Methods Appl. (SIGMA) 11 (2015), 086, 34 pagini.
C. Boboc. S. Dascalescu, L. van Wyk, Jordan isomorphisms of 2-torsionfree triangular rings, Linear Multilinear algebra 64(2) (2016), 290-296.
L. Daus, F. Panaite, A new way to iterate Brzezinski crossed products, Colloq. Math. 142(1) (2016), 51-60.
J. Dello, F. Panaite, F. Van Oystaeyen, Y. Zhang, Structure theorems for bicomodule algebras over quasi-Hopfalgebras, Comm. Algebra 44 (2016), 4609-4636.
A. Makhlouf, F. Panaite, Twisting operators, twisted tensor products and smash products for Hom-associative algebras, Glasgow Math. J. 58(3) (2016), 513-538.
D. Stefan, C. Vay, The cohomology ring of the 12-dimensional Fomin-Kirillov algebra, Advances in Mathematics 291 (2016), 584-620.
D. M. Staic, Secondary Hochschild homology, Algebras and Representation theory 19(1) (2016), 47-56.
A. Manea, D. S tefan, Further properties of Koszul pairs and applications, Symmetry Integrability and Geometry-Methods and Applications 12 (2016), Article Number:092.
Bruce R. Corrigan-Salter, Mihai D. Staic, Higher-order and secondary Hochschild cohomology. C. R. Math. Acad. Sci. Paris 354 (2016), no. 11, 1049-1054.
S. Dascalescu, C. Nastasescu, L. Nstasescu, Symmetric algebras in categories of corepresentations and smash products, J. Algebra 465 (2016), 62-80.
M. Iovanov, Z. Mesyan, M. Reyes, Infinite-dimensional diagonalization and semisimplicity, acceptat spre publicare in Israel Journal of Mathematics.
P. Jara, J. L. Pena,D. Stefan, Koszul pairs. Applications, acceptat spre publicare in Journal of Noncommutative Geometry.
D. Bulacu, S. Caenepeel , B.Torrecillas, Frobenius and separable functors for the category of generalized entwined modules. Applications, trimisa spre publicare la Trans. Amer. Math. Soc.
M. Barascu, Counting good gradings on upper block triangular matrix algebras, in curs de revizuire.
D. Bulacu, B. Torrecillas, Galois theory and cleft extensions for monoidal cowreaths. Applications, trimis spre publicare la Proc. London Math. Soc.
A. Manea, D. Stefan, On Koszulity of finite graded posets, acceptat pentru publicare la Journal of Algebra and Its Applications.
F. Panaite, F. Van Oystaeyen, Twisted algebras and Rota-Baxter type operators, acceptat la J. Algebra Appl.
Jacob Laubacher, Mihai D. Staic, Alin Stancu, Bar Simplicial Modules and Secondary Cyclic (Co)homology, in stadiu avansat de finalizare.
Durata proiectului:
01.01.2012-31.12.2016
Buget:
500.000,00 RON/2012
225.745,43 RON/2013
250.000 RON/2014
169.152 RON/2015
355.102,57 RON/2016
Raportare 2012:
Raportare 2013:
Contractare/Raportare 2014:
Contractare/Raportare 2015:
Contractare/Raportare 2016:
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