Browse > Article
http://dx.doi.org/10.11568/kjm.2021.29.2.387

SYMMETRIC BI-DERIVATIONS OF SUBTRACTION ALGEBRAS  

Kim, Kyung Ho (Department of Mathematics, Korea National University of Transportation)
Publication Information
Korean Journal of Mathematics / v.29, no.2, 2021 , pp. 387-393 More about this Journal
Abstract
In this paper, we introduce the notion of symmetric bi-derivations on subtraction algebra and investigated some related properties. We prove that a map D : X × X → X is a symmetric bi-derivation on X if and only if D is a symmetric map and it satisfies D(x - y, z) = D(x, z) - y for all x, y, z ∈ X.
Keywords
Subtraction algebra; derivation; symmetric bi-derivation; isotone derivation;
Citations & Related Records
연도 인용수 순위
  • Reference
1 J. C. Abbott, Sets, Lattices and Boolean Algebras, Allyn and Bacon, Boston 1969.
2 S. D. Lee and K. H. Kim, A note on multipliers of subtraction algebras, The Hacettepe Journal of Mathematics and Statistics, 42 (2) (2013), 165-171.
3 K. H. Kim, A note on f-derivations of subtraction algebras, Scientiae Mathematicae Japonicae, 72 (2) (2010), 127-132.
4 B. M. Schein, Difference Semigroups, Comm. in Algebra 20 (1992), 2153-2169.   DOI
5 B. Zelinka, Subtraction Semigroups, Math. Bohemica, 120 (1995), 445-447.   DOI
6 Y. H. Yon and K. H. Kim, On derivations of subtraction algebras, The Hacettepe Journal of Mathematics and statistics, 41 (2) (2012), 157-168