Gabriela Olteanu's Home Page: Publications




   


      











 		      
     Articles                                                                                                                                   
  • S. Crivei, G. Olteanu, D. Keskin Tütüncü, F-Baer objects with respect to a fully invariant short exact sequence in abelian categories, Comm. Algebra 49 (2021).
  • S. Crivei, G. Olteanu, π-Rickart and dual π-Rickart objects in abelian categories, J. Algebra Appl. 20 (2021), 2150232 (15 pages).
  • S. Crivei, G. Olteanu, Strongly Rickart objects in abelian categories: Applications to strongly regular and strongly Baer objects, Comm. Algebra 46 (2018), 4426-4447.
  • S. Crivei, G. Olteanu, Strongly Rickart objects in abelian categories, Comm. Algebra 46 (2018), 4326-4343.
  • S. Crivei, G. Olteanu, Rickart and dual Rickart objects in abelian categories: Transfer via functors, Appl. Categor. Struct. 26 (2018), 681-698.
  • G. Olteanu, Strongly relative regular modules and excellent extensions of rings, Mathematica 59 (82) (2017), 76-80.
  • G. Olteanu, I. Van Gelder, On idempotents and the number of simple components of semisimple group algebras, Algebr. Represent. Theory 19 (2016), 315-333.
  • G. Olteanu, I. Van Gelder, Construction of minimal non-abelian left group codes, Des. Codes Cryptogr. 75 (2015), 359-373.
  • E. Jespers, G. Olteanu, Á. del Río, I. Van Gelder, Central units of integral group rings, Proc. Amer. Math. Soc. 142 (2014), No. 7, 2193-2209. http://arxiv.org/abs/1203.5232 pdf
  • G. Olteanu, Baer-Galois connections and applications, Carpathian J. Math. 30 (2014), No. 2, 225-229. pdf
  • E. Jespers, G. Olteanu, Á. del Río, I. Van Gelder, Group rings of finite strongly monomial groups: central units and primitive idempotents, J. Algebra 387 (2013), 99-116. http://dx.doi.org/10.1016/j.jalgebra.2013.04.020  http://arxiv.org/abs/1209.1269
  • G. Olteanu, Idempotents in group algebras, Mathematica 54 (77) (2012), 181-194. http://math.ubbcluj.ro/~mathjour/cont2012-2.html
  • S. Crivei, M.T. Kosan, H. Inankil, G. Olteanu, Correspondences for coclosed submodules, Comm. Algebra 41 (2013), 3635-3647.
    http://arxiv.org/abs/1203.0729  pdf
  • E. Jespers, G. Olteanu,  Á. del Río, Rational group algebras of finite groups: from idempotents to units of integral group rings, Algebr. Represent. Theor. 15 (2012),  No.2, 359-377.
    DOI: 10.1007/s10468-010-9244-4 http://arxiv.org/abs/1001.1236 MR2892512 Zbl 1259.20002 pdf
  • I. Van Gelder, G. Olteanu, Finite group algebras of nilpotent groups: a complete set of orthogonal primitive idempotents, Finite Fields Appl. 17 (2011), No. 2, 157-165.
    doi:10.1016/j.ffa.2010.10.005 http://arxiv.org/abs/1302.3882 Zbl 05868429 MR2774206      
  • A. Herman, G. Olteanu, Á. del Río,  The gap between the Schur group and the subgroup generated by cyclic cyclotomic algebras, Israel J. Math. 176 (2010), 401-418. doi:10.1007/s11856-010-0034-9 http://arxiv.org/abs/0710.1027 Zbl05728355 MR2653200 (2011i:11156) pdf 
  • A. Herman, G. Olteanu, Á. del Río, Ring isomorphism of cyclic cyclotomic algebras, Algebr. Represent. Theor. 12 (2009), no. 2-5, 365-370. 
    • doi:10.1007/s10468-009-9158-1  MR2501191 (2010b:16052) Zbl1186.16015 pdf
  • G. Olteanu, Á. del Río, An algorithm to compute the Wedderburn decomposition of semisimple group algebras implemented in the GAP package wedderga, J. Symbolic Comput. 44 (2009), no. 5, 507-516. 
    • doi:10.1016/j.jsc.2007.07.019 MR2499925, Zbl1172.20014 pdf
  • A. Herman, G. Olteanu, Á. del Río, The Schur group of an abelian number field, J. Pure Appl. Algebra 213 (2009), no. 1, 22-33. 
    • doi:10.1016/j.jpaa.2008.05.002 http://arxiv.org/abs/0710.1026 MR2462982 (2009i:16029), Zbl1166.16010 pdf
  • G. Olteanu, Computation and applications of Schur indices, Proceedings of the International Conference on Modules and Representation Theory (Cluj--Napoca, Romania, July 7-12, 2008), Cluj University Press, Cluj-Napoca, 2009, pp. 149-157. MR2603210, Zbl05639910
  • S. Crivei, G. Olteanu, GAP algorithms for finite abelian groups and applications, Carpathian J. Math. 24 (2008), no. 3, 310-316. Zbl 1240.20053
  • S. Crivei, G. Olteanu, S. Șuteu-Szöllősi, ELISA - A collection of GAP algorithms related to extending abelian groups, Actas del Undecimo Encuentro de Álgebra Computacional y Aplicaciones (EACA XI), Granada, (2008), 63-66.
  • G. Olteanu, Á. del Río, Group algebras of Kleinian type and groups of units, J. Algebra 318 (2007), no. 2, 856-870. 
    • doi:10.1016/j.jalgebra.2007.03.026  http://arxiv.org/abs/math/0701351 MR2371975 (2008j:16078), Zbl1138.16014 pdf
  • G. Olteanu, Computing the Wedderburn decomposition of group algebras by the Brauer--Witt theorem, Math. Comp. 76 (2007), no. 258, 1073-1087.
    • http://www.ams.org/mcom/2007-76-258/S0025-5718-07-01957-6/ MR2291851 (2008b:16036), Zbl1117.20004 pdf
  • G. Olteanu, Wedderburn decomposition of group algebras and Schur groups, Mini--Workshop: Arithmetik von Gruppenringen, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach Rep. 4 (2007), no. 4, 3226-3227. MR2463649 pdf
  • O. Broche Cristo, A. Konovalov, A. Olivieri, G. Olteanu, Á. del Río, wedderga-Wedderburn Decomposition of Group Algebras, Actas del Decimo Encuentro de Álgebra Computacional y Aplicaciones (EACA X), Sevilla, (2006), 65-67.
  • G. Olteanu, El teorema de Brauer--Witt, Publicaciones del Departamento de Matemáticas, Universidad de Murcia, 52 (2005), 1-73.
  • G. Olteanu, Une esquisse des graphes a composition, Proceedings of the 3rd International Conference on Applied Mathematics (Borsa, 2002). Bul. Stiint. al Univ. Baia Mare Ser. B Fasc. Mat.-Inform. 18 (2002), no. 2, 285-290.  MR2015954
  • G. Olteanu, Le lemme de Yoneda pour les esquisses projectives, Proceedings of the Algebra Symposium  (Cluj--Napoca, Romania,  November 23-24, 2001), EFES Publishing House, Cluj-Napoca, (2002), 149--164.
      Books
  • G. Olteanu, Wedderburn decomposition of group algebras and applications, EFES Publishing House, Cluj-Napoca, 2008, 165pp, ISBN 978-973-7677-98-3.  
    • MR2457575 (2009h:16032), Zbl1165.16001 pdf
  • S. Crivei, G. Olteanu, Algebraic aspects of public-key cryptography, EFES Publishing House, Cluj-Napoca, 2008, 128pp, ISBN 978-606-526-012-2.
     Text books
  • A.S. Muresan, D.A. Filip, P. Curt, R.I. Lung, G. Olteanu, V. Radu, A. Rosca, M. Pacurar, P.T. Petru, G. Brendea,  Matematici aplicate in economie, Mega Publishing House, Cluj-Napoca, 2011, 278pp, ISBN 978-606-543-171-3.
  • A.S. Muresan, D.A. Filip, M. Mihoc, P. Curt, I. Rap, R.I. Lung, G. Olteanu, V. Radu, A. Rosca, M. Pacurar, P.T. Petru, G. Brendea,  T. Coconet, F. Pop, K. Sipos, Matematici aplicate in economie, Mega Publishing House, Cluj-Napoca, 2012, 324pp, ISBN 978-606-543-252-6. 
  • A.S. Muresan, D.A. Filip, P. Curt, R.I. Lung, G. Olteanu, V. Radu, A. Rosca, T. Coconet, F. Pop, K. Sipos,  Matematici financiare si actuariale. Teorie si probleme, Mega Publishing House, Cluj-Napoca, 2013, 315pp, ISBN 978-606-543-210-9.     
       Preprints
  • G. Olteanu, I. Van Gelder, Construction of minimal non-abelian left group codes.                                                                                                                   http://arxiv.org/abs/1302.3747
     Ph.D. Thesis
  • G. Olteanu, Wedderburn decomposition of group algebras. A computational approach with applications to Schur groups and units, Ph.D. Thesis with European Mention, University of Murcia, Spain, 2007. Awarded with “Premio Extraordinario de Doctorado” in Mathematics, 2007–2008. pdf