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Derivations on subtraction algebras

Mehmet Ali Öztürk|Yilmaz Ceven
대한수학회 (The Korean Mathematical Society)|2009.10|대한수학회논문집 (Communications of the KMS)|제24권 제4호|pp. 509-515

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참고문헌

키워드

derivationsubtraction algebra
주제분류수학

초록

In this paper, we introduce the notions of a derivation and a generalized derivation determined by a derivation for a complicated subtraction algebra. We give some related properties and equivalent conditions which derivations hold.

Abstract

In this paper, we introduce the notions of a derivation and a generalized derivation determined by a derivation for a complicated subtraction algebra. We give some related properties and equivalent conditions which derivations hold.

참고문헌 (14)

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  3. M. Bresar, "On the distance of the compositions of two derivations to generalized derivations", Glasgow Math. J., 33, pp.89~93 (1991)
  4. Y. çeven, "Some results on subtraction algebras", Hacettepe Journal of Mathematics and Statistics
  5. B. Hvala, "Generalized derivation in rings", Comm. Algebra, 26(4), pp.1147~1166 (1998)
  6. Y. B. Jun, "On ideals in subtraction algebras", Sci. Math. Jpn. Online e-2006, pp.1081~1086 (2006)
  7. Y. B. Jun, "Ideal theory of subtraction algebras", Sci. Math. Jpn. Online e-2004, pp.397~402 (2004)
  8. Y. B. Jun, "Prime and irreducible ideals in subtraction algebras", International Mathematical Forum, 3(10), pp.457~462 (2008)
  9. 전영배, "Subtraction algebras with additional conditions", 대한수학회논문집, 22(1), pp.1~7 (2007), 대한수학회
  10. Y. H. Kim, "Subtraction algebras and BCK-algebras", Math. Bohemica, 128, pp.21~24 (2003)
  11. E. Posner, "Derivations in prime rings", Proc. Am. Math. Soc., 8, pp.1093~1100 (1957)
  12. B. M. Schein, "Difference semigroups", Comm. in Algebra, 20, pp.2153~2169 (1992)
  13. X. L. Xin, "On Derivations of Lattices", Information Sciences, 178, pp.307~316 (2008)
  14. B. Zelinka, "Subtraction semigroups", Math. Bohemica, 120, pp.445~447 (1995)

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