prof. dr. Ajda Fošner Visokošolski učitelj
Prof. dr. Ajda Fošner je kot redna profesorica s področja matematike zaposlena na GEA College in na Univerzi na Primorskem. Njena primarna raziskovalna področja so linearna algebra, nekomutativni kolobarji in funkcionalna analiza. Del svojega dela je usmerila tudi na novejše področje superalgeber, gradiranih algeber ter na področje stabilnosti funkcijskih enačb. Prav tako njeno raziskovanje sega na področje raziskovalne metodologije v družboslovju, kjer s pomočjo kvantitativnih matematičnih metod rešuje probleme s področja družboslovja. Še več, izsledki nekaterih njenih raziskav so uporabni v fiziki in kvantni mehaniki. Prof. dr. Ajda Fošner je sodelovala na številnih mednarodnih konferencah, vključena je v številne projekte s področja matematike in tudi drugih področij. Kakovostno raziskovalno delo prof. dr. Ajde Fošner izpričujejo številne objave predvsem izvirnih znanstvenih člankov v najprestižnejših znanstvenih revijah. Odmevnost njenega dela pa dokazujejo številni citati njenih objav. Za svoje delo je prejela več nagrad, med njimi tudi Rektorsko nagrado Univerze v Mariboru in nagrado za znanstveno odličnost Univerze na Primorskem.
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Prof. dr. Ajda Fošner is employed as a full professor (subject area Mathematics) at the University of Primorska and the leader of the Research Institute at GEA College – Faculty of Entrepreneurship. The primary research fields of dr. Ajda Fošner are noncommutative rings, linear algebra, and functional analyses. It should be mentioned that prof. dr. Ajda Fošner also focuses on the mathematical problems in quantum mechanics. Furthermore, she is involved in research on the field of quantitative methodology in social sciences. Prof. dr. Ajda Fošner participated with the original scientific contributions in numerous international conferences. She has worked as a researcher on several scientific projects on the field of mathematics, which is her primary research area, as well as on projects on other fields. Prof. dr. Ajda Fošner published many original scientific papers in prestigious international journals. This shows her productive and high quality research work. Visibility of her work is shown also with the total number of citations. She received several awards, such as Chancellor Award of University of Maribor and Award for scientific excellence of the University of Primorska. Prof. dr. Ajda Fošner is the leader of the Advances in Business-Related Scientific Research Conference and the editor-in-chief of the Advances in Business-Related Scientific Research Journal. She is an active member of the Knowledge Economy Network in Brussels and a founding member of the Sustainability Network of Networks. She is an expert at the National Agency for the Quality in Higher Education.
Reference:
1. FOŠNER, Ajda. Prime and semiprime rings with symmetric skew 3-derivations. Aequationes mathematicae, ISSN 0001-9054, 2014, vol. 87, iss. 1-2, str. 191-200.
2. ALI, Shakir, FOŠNER, Ajda. On generalized (m,n)-derivations and generalized (m,n)-Jordan derivations in rings. Algebra colloquium, ISSN 1005-3867, 2014, vol. 21, iss. 3, str. 411-420.
3. FOŠNER, Ajda, REHMAN, Nadeem Ur. Identities with additive mappings in semiprime rings. Bulletin of the Korean Mathematical Society, ISSN 1015-8634, 2014, vol. 51, no. 1, str. 207-211.
4. FOŠNER, Ajda, LEE, Tsiu Kwen. Jordan [star]-derivations of finite-dimensional semiprime algebras. Canadian mathematical bulletin, ISSN 0008-4395, 2014, vol. 57, str. 51-60.
5. FOŠNER, Ajda. Prime and semiprime rings with symmetric skew n-derivations. Colloquium mathematicum, ISSN 0010-1354, 2014, vol. 134, no. 2, str. 245-253.
6. ZHENG, Baodong, XU, Jinli, FOŠNER, Ajda. Linear maps preserving rank of tensor products of matrices. Linear and Multilinear Algebra, ISSN 0308-1087, 2014, 11 str.
7. XIAO, Zhankui, WEI, Feng, FOŠNER, Ajda. Centralizing traces and Lie triple isomorphisms on triangular algebras. Linear and Multilinear Algebra, ISSN 0308-1087, 2014, 23 str.
8. FOŠNER, Ajda. On generalized [alpha]-biderivations. Mediterranean journal of mathematics, ISSN 1660-5446, 2014, 7 str.
9. FOŠNER, Ajda. Local generalized ([alpha], [beta])-derivations. The scientific world journal, ISSN 1537-744X, 2014, vol. 2014, iD 805780 (5 str.).
10. FOŠNER, Ajda, FOŠNER, Maja. Approximate cubic Lie derivations. Abstract and applied analysis, ISSN 1085-3375, 2013, vol. 2013, art. ID 425784, 5 str.
11. CHUANG, Chen-Lian, FOŠNER, Ajda, LEE, Tsiu Kwen. Jordan [tau]-derivations of locally matrix rings. Algebras and representation theory, ISSN 1386-923X, 2013, vol. 16, iss. 3, str. 755763.
12. DE FILIPPIS, Vincenzo, FOŠNER, Ajda, WEI, Feng. Identities with generalized skew derivations on Lie ideals. Algebras and representation theory, ISSN 1386-923X, 2013, vol. 16, iss. 4, str. 1017-1038.
13. FOŠNER, Ajda. 2-local mappings on algebras with involution. Annals of functional analysis, ISSN 2008-8752, 2014, vol. 5, no. 1, str. 63-69.
14. ALI, Shakir, FOŠNER, Ajda, KHAN, Mohammad Salahuddin. A note on commutativity of rings with additive mappings. Arab journal of mathematical sciences, ISSN 1319-5166, 2013, vol.
15. FOŠNER, Ajda, GER, Roman, GILÁNYI, Attila, MOSLEHIAN, Mohammad Sal. On linear functional equations and completeness of normed spaces. Banach journal of mathematical analysis, ISSN 1735-8787. [Online ed.], 2013, vol. 7, no. 1, str. 196-200.
16. FOŠNER, Ajda, WEI, Feng, XIAO, Zhankui. Nonlinear Lie-type derivations of von Neumann algebras and related topics. Colloquium mathematicum, ISSN 0010-1354, 2013, vol. 132, no. 1, str. 53-71.
17. FOŠNER, Ajda. A note on generalized (m,n)-Jordan centralizers. Demonstratio mathematica, ISSN 0420-1213, 2013, vol. 46, no. 2, str. 257-262.
18. FOŠNER, Ajda. Hyers-Ulam-Rassias stability of generalized module left (m,n)-derivations. Journal of inequalities and applications, ISSN 1029-242X, 2013, vol. 2013, art. 208 (8 str.).
19. BRZDĘK, Janusz, FOŠNER, Ajda. Remarks on the stability of Lie homomorphisms. Journal of mathematical analysis and applications, ISSN 0022-247X. [Print ed.], 2013, vol. 400, iss. 2, str. 585-596.
20. FOŠNER, Ajda, HUANG, Zejun, LI, Chi-Kwong, SZE, Nung-Sing. Linear maps preserving numerical radius of tensor products of matrices. Journal of mathematical analysis and applications, ISSN 0022-247X. [Print ed.], 2013, vol. 407, iss. 2, str. 183-189.
21. HARDY, Yorick, FOŠNER, Ajda, STEEB, Willi-Hans. Cayley transform and the Kronecker product of Hermitian matrices. Linear Algebra and its Applications, ISSN 0024-3795. [Print ed.], 2013, vol. 439, iss. 12, str. 4023-4031.
22. FOŠNER, Ajda, HUANG, Zejun, LI, Chi-Kwong, SZE, Nung-Sing. Linear preservers and quantum information science. Linear and Multilinear Algebra, ISSN 0308-1087, 2013, vol. 61, iss. 10, str. 1377-1390.
23. FOŠNER, Ajda, HUANG, Zejun, LI, Chi-Kwong, POON, Yiu-Tung, SZE, Nung-Sing. Linear maps preserving the higher numerical ranges of tensor products of matrices. Linear and Multilinear Algebra, ISSN 0308-1087, 2013, vol. 62, iss. 6, str. 776-791.
24. ALI, Shakir, FOŠNER, Ajda, FOŠNER, Maja, KHAN, Mohammad Salahuddin. On generalized Jordan triple ([alpha], [beta]) [sup] [ast]-derivations and related mappings. Mediterranean journal of mathematics, ISSN 1660-5446, 2013, vol. 10, iss. 4, str. 1657-1668.
25. FOŠNER, Ajda, HUANG, Zejun, LI, Chi-Kwong, SZE, Nung-Sing. Linear maps preserving Ky Fan norms and Schatten norms of tensor products of matrices. SIAM journal on matrix analysis and applications, ISSN 0895-4798, 2013, vol. 34, no. 2, str. 673-685.
26. FOŠNER, Ajda. The Hyers-Ulam-Rassias stability of (m,n)[sub]{([sigma], [tau])}-derivations on normed algebras. Abstract and applied analysis, ISSN 1085-3375, 2012, vol. 2012, art. 347478 (11 str.).
27. FOŠNER, Ajda. On the generalized Hyers-Ulam stability of module left (m, n)-derivations. Aequationes mathematicae, ISSN 0001-9054, 2012, vol. 84, no. 1-2, str. 91-98.
28. DE FILIPPIS, Vincenzo, FOŠNER, Ajda. A note on skew derivations in prime rings. Bulletin of the Korean Mathematical Society, ISSN 1015-8634, 2012, vol. 49, no. 4, str. 885-898.
29. FOŠNER, Ajda. 2-local Jordan automorphisms on operator algebras. Studia Mathematica, ISSN 0039-3223, 2012, t. 209, fasc. 3, str. 235-246.
30. FOŠNER, Ajda, FOŠNER, Maja, VUKMAN, Joso. Identities with derivations in rings. Glasnik matematički. Serija 3, ISSN 0017-095X, 2011, vol. 46, no. 2, str. 339-349.
31. FOŠNER, Ajda, KUZMA, Bojan, KUZMA, Timotej, SZE, Nung-Sing. Maps preserving matrix pairs with zero Jordan product. Linear and Multilinear Algebra, ISSN 0308-1087, 2011, vol. 59, iss. 5, str. 507-529.
32. FOŠNER, Ajda, VUKMAN, Joso. On certain functional equations related to Jordan triple ([theta],[phi])-derivations on semiprime rings. Monatshefte für Mathematik, ISSN 0026-9255, 2011, vol. 162, no. 1, str. 157-165.
33. FOŠNER, Ajda, ILIŠEVIĆ, Dijana. Generalized bicircular projections via rank preserving maps on the spaces of symmetric and antisymmetric operators. Operators and matrices, ISSN 1846-3886, 2011, vol. 5, no. 2, str. 239-260.
34. FOŠNER, Ajda, VUKMAN, Joso. Some results concerning additive mappings and derivations on semiprime rings. Publicationes mathematicae, ISSN 0033-3883, 2011, vol. 78, no. 3-4, str. 575581.
35. FOŠNER, Ajda, FOŠNER, Maja. On [epsilon]-derivations and local [epsilon]-derivations. Acta mathematica Sinica, English series, ISSN 1439-8516, 2010, vol. 26, no. 8, str. 1555-1566.
36. ALI, Shakir, FOŠNER, Ajda. On Jordan ([alpha], [beta]) [sup] [ast]-derivations in semiprime [sup] [ast]-rings. International journal of algebra. [Print ed.], 2010, vol. 4, no. 3, str. 99-108.
37. TEMELJOTOV SALAJ, Alenka, FOŠNER, Ajda, JURCA, Jerneja, KARČNIK, Irena, RAZPOTNIK, Irena, DOVGAN ŽVEGLA, Lidija. Znanja, veščine in kompetence za urejanje prostora = Knowledge, skills and competence in spatial planning. Urbani izziv, ISSN 0353-6483. [Tiskana izd.], jun. 2010, letn. 21, št. 1, str. 61-69, 136-143.
38. FOŠNER, Ajda. Commutativity preserving maps on M[sub]n(R). Glasnik matematički. Serija 3, ISSN 0017-095X, 2009, vol. 44, no. 1, str. 127-140.
39. FOŠNER, Ajda, VUKMAN, Joso. Some functional equations on standard operator algebras. Acta mathematica Hungarica, ISSN 0236-5294, 2008, vol. 118, no. 4, str. 299-306.
40. FOŠNER, Ajda, FOŠNER, Maja, VUKMAN, Joso. An identity with derivations on rings and Banach algebras. Demonstratio mathematica, ISSN 0420-1213, 2008, vol. 41, no. 3, str. [525]-530.
41. FOŠNER, Ajda, FOŠNER, Maja. 2-local superderivations on a superalgebra M[sub]n(C). Monatshefte für Mathematik, ISSN 0026-9255, 2009, vol. 156, no. 4, str. 307-311.
42. FOŠNER, Ajda. Non-linear commutativity preserving maps on symetric matrices. Publicationes mathematicae, ISSN 0033-3883, 2007, vol. 71, fasc. 3-4, str. 375-396.
43. FOŠNER, Ajda, FOŠNER, Maja. On superderivations and local superderivations. Taiwanese journal of mathematics, ISSN 1027-5487, 2007, vol. 11, no. 5, str. 1383-1396.
44. FOŠNER, Ajda. A note on local automorphisms. Czechoslovak Mathematical Journal, ISSN 0011-4642, 2006, vol. 56, no. 3, str. 981-986.
45. FOŠNER, Ajda, ŠEMRL, Peter. Additive maps on matrix algebras preserving invertibility or singularity. Acta mathematica Sinica, English series, ISSN 1439-8516, 2005, vol. 21, iss. 4, str. 681-684.
46. FOŠNER, Ajda. Order preserving maps on the poset of upper triangular idempotent matrices. Linear Algebra and its Applications, ISSN 0024-3795. [Print ed.], 2005, vol. 403, str. 248-262.
47. FOŠNER, Ajda. Automorphisms of the poset of upper triangular idempotent matrices. Linear and Multilinear Algebra, ISSN 0308-1087, 2005, vol. 53, no. 1, str. 27-44.
48. FOŠNER, Ajda. Non-linear commutativity preserving maps on M[sub]n(R). Linear and Multilinear Algebra, ISSN 0308-1087, 2005, vol. 53, no. 5, str. 323-344
49. BREŠAR, Matej, FOŠNER, Ajda, FOŠNER, Maja. Jordan ideals revisited. Monatshefte für Mathematik, ISSN 0026-9255, 2005, vol. 145, no. 1, str. 1-10.
50. FOŠNER, Ajda, ŠEMRL, Peter. Spectrally bounded linear maps on B(X). Canadian mathematical bulletin, ISSN 0008-4395, 2004, vol. 47, 3, str. 369-372.
51. BREŠAR, Matej, FOŠNER, Ajda, ŠEMRL, Peter. A note on invertibility preservers on Banach algebras. Proceedings of the American Mathematical Society, ISSN 0002-9939, 2003, vol. 131, no. 12, str. 3833-3837.
52. BREŠAR, Matej, FOŠNER, Ajda, FOŠNER, Maja. A Kleinecke-Shirokov type condition with Jordan automorphisms. Studia Mathematica, ISSN 0039-3223, 2001, vol. 147, no. 3, str. 237-242.