Characterizing homomorphisms, derivations and multipliers in rings with idempotents

Proceedings of the Royal Society of Edinburgh Section A: Mathematics

Volumn 137, Issue 1, 2007, Pages 9-21

  Brešar, Matej ^a  

^a UNIVERSITY OF MARIBOR   (Slovenia)

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EID: 33947573914     PISSN: 03082105     EISSN: 14737124     Source Type: Journal    
DOI: 10.1017/S0308210504001088     Document Type: Article

References (26)

1. M. Brešar, Characterizations of derivations on some normed algebras with involution. J. Alg. 152 (1992), 454-462.
2. M. Brešar and P. Semrl. Mappings which preserve idempotents, local automorphisms, and local derivations. Can. J. Math. 45 (1993), 483-496.
3. M. A. Chebotar, W.-F. Ke, P.-H. Lee and N.-C. Wong. Mappings preserving zero products. Studia, Math. 155 (2003), 77-94.
4. M. A. Chebotar, W.-F. Ke and P.-H. Lee. Maps characterized by action on zero products. Pac. J. Math. 216 (2004), 217-228.
5. P. M. Cohn. The range of derivations on a skew field and the equation ax - xb = c. J. Indian Math. Soc. 37 (1973), 61-69.
6. R. L. Grist. Local derivations on operator algebras. J. Funct. Analysis 135 (1996), 76-92.
7. D. Hadwin and J. W. Kerr. Local multiplications on algebras. J. Pure Appl. Alg. 115 (1997), 231-239.
8. D. Hadwin and J. Li. Local derivations and local automorphisms. J. Math. Analysis Applic. 290 (2004), 702-714.
9. D. G. Han and S. Y. Wei. Local derivations of nest algebras. Proc. Am. Math. Soc. 123 (1995), 3095-3100.
10. I. N. Herstein. Topics in ring theory (University of Chicago Press, 1969).
11. B. E. Johnson. Centraliser and operators reduced by maximal ideals. J. Lond, Math. Soc. 43 (1968), 231-233.
12. B. E. Johnson. Local derivations on C*-algebras are derivations. Thins. Am. Math. Soc. 353 (2001), 313-325.
13. R. V. Kadison. Local derivations. J. Alg. 130 (1990), 494-509.
14. R. Larson and A. R. Sourour. Local derivations and local automorphisms of B(X). In Operator theory: operator algebras and applications, Proceedings of Symposia in Pure Mathematics, vol. 51, part 2, pp. 187-194 (Providence, RI: American Mathematical Society, 1990).
15. L. Makar-Limanov. Algebraically closed skew fields. J. Alg. 93 (1985), 117-135.
16. W. S. Martindale III. Prime rings satisfying a generalized polynomial identity. J. Alg. 12 (1969), 576-584.
17. L. Molnár. Locally inner derivations of standard operator algebras. Math. Bohem. 121 (1996), 1-7.
18. A. Nowicki and I. Nowosad. Local derivations for quotient and factor algebras of polynomials. Colloq. Math. 97 (2003), 107-116.
19. +(D). Publ. RIMS Kyoto 29 (1993), 977-995.
20. J. Schweizer. An analogue of Peetre's theorem in non-commutative topology. Q. J. Math. 52 (2001), 499-506.
21. V. S. Shulman. Operator algebras with strictly cyclic vectors. Mat. Zametki 16 (1974), 253-257. (In Russian.)
22. V. S. Shulman. Operators preserving ideals in C*-algebras. Studia Math. 109 (1994), 67-72.
23. The Hadwin Lunch Bunch. Local multiplications on algebras spanned by idempotents. Linear Multilinear Alg. 37 (1994), 259-263.
24. P. Semrl. Local automorphisms and derivations on B(H). Proc. Am. Math. Soc. 125 (1997), 2677-2680.
25. M. Wiehl. Local derivations on the Weyl algebra with one pair of generators. Acta Math. Hungar. 92 (2001), 51-59.
26. J. Zhu. Local derivation of nest algebras. Proc. Am. Math. Soc. 123 (1995), 739-742.