On derivations in CI-algebras
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DOI:
https://doi.org/10.26637/MJM0804/0077Abstract
Derivation Map plays an important role in the study of different algebras. In this paper we introduce such a map for CI-algebras, with some of its examples and properties. Also we investigate how to extend a derivation map of a BE-algebra to that of a CI-algebra.
Keywords:
BE-algebra, CI-algebra, DerivationMathematics Subject Classification:
Mathematics- Pages: 1792-1794
- Date Published: 01-01-2020
- Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)
Q. P. Hu, X. Li X, On BCH-algebras, Math. Seminer Notes, 11(2), (1983), 313-320.
Y. Imai, K. Iseki, On axiom systems of propositional calculi XIV, Proc. Japan Academy, 42(1966), 19-22.
K. Iseki, An algebra related with a propositional calculus, Proc. Japan Acad, 42(1), (1966), 26-29.
Y. B. Jun, E. H. Roh and H. S. Kim, On BH-algebras, Sci. Math, 1(1998), 347-354.
K.H. Kim and Y. H. Yon, Dual BCK-algebra and MV-algebra, Sci. Math. Japon, 66(2), (2007), 247-253.
H. S. Kim and Y.H. Kim, On BE-algebras, Sci. Math. Japonicae, 66(2007), 113-116.
B. L. Meng, CI-algebras, Sci. Math. Japonicae online, (2009), 695-701.
J. Negger and H. S. Kim, On $d$-algebras, Math. Slovaca, 40(1999), 19-26.
K. Pathak, P. Sabhapandit and B. C. Chetia, Cartesian Product of BE/CI-algebras, J. Assam Acad. Math., 6(2013), 33-40.
P. Sabhapandit and K. Pathak, On homomorphisms in CI-algebras, Int. J. of Mathematical Archive, 9(3), (2018), 33-36.
P. Sabhapandit and K. Pathak, On Multipliers in CIalgebras, Int. J. of Research and Analytical Reviews, 6(2), (2019), 99-104.
P. Sabhapandit and K. Pathak, On Dual Multipliers in CIalgebras, Advances in Mathematics: Scientific Journal, 9(4), (2020), 1819-1824.
H. Y. Yon and H. K. Kyung, On Derivations of Subtraction algebras, Hacettepe J. of Math. and Statistics, 41(2), (2012), 157-168.
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