Facultatea de Automatica si Calculatoare > Cercetare > Matematica > Domenii de cercetare > Algebra, topology and functional equations

Algebra, topology and functional equations

Research team

Iuliu Crivei, Iuliu Crivei, Vasile Pop, Dorian Popa, Gheorghe Toader, Silvia Toader, Daniela Rosca, Alina Sintamarian, Mircea-Dan Rus, Melania Moldovan, Constantin-Cosmin Todea

 

Research fields

  • Topological n-ar structures
  • n-groups
  • Rings and R-modules
  • Functional equations on algebraic structures.

 

Publications

D. Cimpean, D. Inoan, I. Rasa, “An Invitation to Linear Algebra and Analytic Geometry”, Editura Mediamira, Cluj-Napoca, 2009.

 

M. S. Gowda, M. Moldovan, J. Tao, “Some inertia theorems in Euclidean Jordan algebras”, Linear Algebra and its Applications, 430, 2009, 1992-2011.

 

M. M. Moldovan, M. S. Gowda, “Strict diagonal dominance and a Geršgorin type theorem in Euclidean Jordan algebras”, Linear Algebra and its Applications, 431, 2009, 148-161.

 

V. Pop, “n-Groups derivable from groups”, Creative Mathematics and Informatics, 17 (3), 2009, 499-504.

 

V. Pop, “Functions with restricted Cauchy-kernal image”, Journal of Sciences and Arts, 1, 2009, 85-88.

 

V. Pop, I. Corovei, “The Wilson version of d'Alambert's functional equations on a class of 2 divizibile nilpotent groups”, Mathematica, 50 (73) (1), 2009, 13-30.

 

V. Pop, “On the Hyers-Ulam stability of the arithmetic and geometric means”, Journal of Sciences and Arts, 2, 2009, 160-164.

 

V. Pop, “Functions with the image of Cauchy-difference in a linear manifold”, Automation Computers and Applied Mathematics, 18 (1), 2009, 169-172.

 

D. Popa, “On the stability of the general linear equation”, Results in Mathematics, 53 (3), 2009, 383-389.

 

A. Sintamarian, “A topological property of the common fixed points set of two multivalued operators”, Nonlinear Analysis - Theory Methods & Applications 70 (1), 2009, 452-456.

 

I. Costin, S. Toader, “Complementariness with respect to the logarithmic means”, Mathematical Inequalities and Applications, 12 (4), 2009, 791-798.

 

Gh. Toader, S. Toader, “Invariance in some families of means”, Proceedings of the 13th International Conference on Functional Equations and Inequalities, Pedagogical University of Crakow, 2009, 142-143.

 

D. Popa, J. Brzdek , B. Xu, “Hyers-Ulam stability of the linear equations of higher orders”, Acta Mathematica Hungarica, 120 (1-2), 2008, 1-8.

 

D. Popa, “Approximate solutions of the linear equation”, Proceedings of the Conference on Inequalities and Applications, Noszvaj (Hungary), September 2007, International Series of Numerical Mathematics, 2008 Birkhauser Verlag Basel/Switzerland, vol.157, 299-304.

 

D. Rosca, “A class of orthogonal matrices of dimension four”, Automation Computers and Applied Mathematics, 17 (2), 2008, 309-316.

 

M.-D. Rus, “Monotone iterative methods for systems of nonlinear equations involving mixed monotone operators”, Fixed Point Theory, 9 (1), 2008, 309-318.

 

A. Sintamarian, “A topological property of the common fixed points set of two multivalued operators satisfying a Latif-Beg type condition”, Fixed Point Theory 9 (2), 2008, 561-573.

 

Gh. Toader, I. Costin, “Invariance in the class of weighted Lehmer means”, Journal of Inequalities in Pure and Applied Mathematics, 9 (2), 2008, 7 pp., Article no. 54.

 

Gh. Toader, I. Costin, “Complementariness with respect to the identric means”, Automation Computers and Applied Mathematics, 17 (3), 2008, 409-416.

 

Gh. Toader, S. Toader, “Some weighted geometric means”, Automation Computers and Applied Mathematics, 17 (3), 2008, 565-572.

 

I. Crivei, S. Crivei, I. Purdea, “Change of ring and torsion theoretic injectivity”, Bulletin of the Australian Mathematical Society, 75, 2007, 143-149.

 

I. Crivei, S. Crivei, “(m,n)-purity for modules”, Bulletin Mathematique de la Societe de Sciences Mathematiques de Roumanie, 49 (97), no. 1, 2006, 37-46.

 

I. Crivei, S. Crivei, “Divisible Modules with respect to a torsion theory”, Proceedings of the International Conference Algebras, Rings and their representations, Lisabon, Portugal, World Scientific, 2006, 25-36.

 

D. Popa, “Functional equations. Set-valued solutions stability”, U. T. Press Publisher, 2006.

 

D. Popa, I. Rasa, “Hermite-Hadamard Type Inequalities”, Automation Computers and Applied Mathematics. Scientific Journal, 15(2), 2006, 275-276.

 

V. Pop, “On the solution sets of conditional Cauchy equations on groups”, Automation Computers and Applied Mathematics. Scientific Journal, 15(2), 2006, 271-274.

 

V. Pop, “Functions with equal deviation from additive and multiplicative morphisms on fields”, Automation Computers and Applied Mathematics. Scientific Journal, 15(2), 2006, 263-270.

 

I. Crivei, ”A class of modules characterized by weakly associated prime ideals”, Mathematica, 47(70), No. 2, 2005, 145-150.

 

I. Crivei, ”s-pure submodules”, International Journal of Mathematics and Mathematical Sciences, 2005(4), 491-497.

 

D. Popa, N. Lungu, ”On an operatorial inequality”, Demonstratio Mathematica, 38(3), 2005, 667-674.

 

V. Pop, “Conditional Cauchy equations of right cylinder type on n-groups”, Mathematica, 17(70), No. 1, 2005, 113-117.

 

V. Pop, M. Ivan, “Some remarks on proximinal and Cebisevian sets”, Automation Computers and Applied Mathematics. Scientific Journal, 14(1), 2005, 63-67.

 

V. Pop, “Reduction of two polyadic groups to a group”, Automation Computers and Applied Mathematics. Scientific Journal, 14(1), 2005, 95-102.


V. Pop, “Order relation on the sets solutions of Z conditional Cauchy equations on groups”, Carpathian Journal of Mathematics, 20(1), 2004, 119-123.