An identity with derivations on rings and Banach algebras

• Autorzy: Fosner A. , Fosner M. , Vukman J.
• Języki publikacji: EN

Słowa kluczowe

EN

Banach algebra; prime rings; semiprime rings; derivations

PL

algebra Banacha; pierścienie pierwsze; półpierścienie pierwsze; pochodne

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2008
• Tom: Vol. 41, nr 3
• Strony: 525--530
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Fosner A.

autor

Fosner M.

autor

Vukman J.

• Faculty of Natural Sciences and Mathematics University of Maribor Koroska cesta 160, 2000 Maribor, Slovenia,

Bibliografia

• [1] K. I. Beidar, W. S. Martindale III, A. V. Mikhalev, Rings with Generalized Identities, Marcel Dekker, Inc. New York 1996.
• [2] M. Brešar, Derivations of noncommutative Banach algebras II, Arch. Math. 63 (1994), 56-9.
• [3] M. Brešar, B. Hvala, On additive maps of prime rings, II, Publ. Math. Debrecen 54 (1999), 39-54.
• [4] M. Brešar, A. R. Villena, The range of derivations on a Jordan Banach algebras, Studia Math. 146 (2001), 177-200.
• [5] M. Brešar, J. Vukman, Derivations of noncommutative Banach algebras, Arch. Math. 59 (1992), 363-370.
• [6] C.-L. Chuang, On decomposition of derivations of prime rings, Proc. Amer. Math. Soc. 108 (1990), 647-652.
• [7] B. E. Johnson, A. M. Sinclair, Continuity of derivations and a problem of Kaplansky, Amer. J. Math. 90 (1968), 1068-1073.
• [8] B. Kim, On derivations on semiprime rings and noncommutative Banach Algebras, Acta Math. Sinica, English Series, 16 (2000), 21-28.
• [9] T.-K. Lee, Semiprime rings with differential identities, Bull. Inst. Math. Acad. Sinica 20 (1992), 27-38.
• [10] M. Mathieu, Where to find the image of a derivation, Functional analysis and operator theory, Banach Center Publications, 30, Institute of Mathematics, Polish Academy of Sciences, Warszawa 1994.
• [11] M. Mathieu, G. J. Murphy, Derivations mapping into the radical, Arch. Math. 57 (1991), 469-474.
• [12] V. Runde, Range inclusion results for derivations on noncommutative Banach algebras, Studia Math. 105 (1993), 159-172.
• [13] A. M. Sinclair, Jordan homomorphisms and derivations on semisimple Banach algebras, Proc. Amer. Math. Soc. 24 (1970), 209-214.
• [14] I. M. Singer, J. Wermer, Derivations on commutative normed algebras, Math. Ann.129 (1955), 435-460.
• [15] M. P. Thomas, The image of a derivation is contained in the radical, Ann. Math. 128 (1988), 435-460.
• [16] J. Vukman, On derivations in prime rings and Banach algebras, Proc. Amer. Math. Soc., 116 (1992), 877-884.
• [17] J. Vukman, Identities with derivations on rings and Banach algebras, Glasnik Mat. Vol. 40 (2005), 189-199.
• [18] B. Yood, Continuous homomorphisms and derivations on Banach algebra as, Contemp. Math. 32 (1984), 279-284.