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On symmetric bi-derivations of B-algebras

Sibel Altunbicak Kayis|Sule Ayar Ozbal
대한수학회 (The Korean Mathematical Society)|2016.04|대한수학회논문집 (Communications of the KMS)|제31권 제2호|pp. 209-216

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키워드

derivationB-algebra0-commutative B-algebrasymmetric bi-derivation
주제분류수학

초록

In this paper, we introduce the notion of symmetric bi-deri\-vations of a B-algebra and investigate some related properties. We study the notion of symmetric bi-derivations of a $0$-commutative $B$-algebra and state some related properties.

Abstract

In this paper, we introduce the notion of symmetric bi-deri\-vations of a B-algebra and investigate some related properties. We study the notion of symmetric bi-derivations of a $0$-commutative $B$-algebra and state some related properties.

참고문헌 (13)

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  3. N. O. Alshehri, "(n − 1)-Step derivations on n-groupoids: The Case n = 3, Hindawi Publishing Corporation", The Scientific World Journal, 2014, pp.6~ (2014)
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  8. G. Maksa, "A remark on symmetric biadditive functions having nonnegative diagonal-ization", Glas. Mat. Ser. III, 15(2), pp.279~282 (1980)
  9. G. Maksa, "On the trace of symmetric bi-derivations", C. R. Math. Rep. Acad. Sci. Canada, 9(6), pp.303~307 (1987)
  10. J. Neggers, "On B-algebras", Mat. Vesnik, 54(1-2), pp.21~29 (2002)
  11. C. Prabpayak, "On derivations of BCC-algebras", Kasetsart J. (Nat. Sci.), 43, pp.398~401 (2009)
  12. J. Vukman, "Symmetric bi-derivations on prime and semi-prime rings", Aequations Math, 38(2-3), pp.245~254 (1989)
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