On Some Homomorphic Extensions of Duo Binary Systems

Authors

  • V. D. Madan Indira Gandhi National Open University, New Delhi 110068

DOI:

https://doi.org/10.26713/jims.v8i3.267

Keywords:

16D99

Abstract

This paper explores the following problem: Let \(A=(A,+,\cdot)\) and \(E=(E,+,\cdot)\) be duo binary systems. Let \(S=(S,+,\cdot)\) be a subsystem of \(A\). Under what conditions can a homomorphism \(p:S\to E\) be extended to a homomorphism \(P:A\to E\) and how?

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References

J. Aczel, Lectures on Functional Equations and Their Applcations, Academic Press, New York, 1966.

J. Aczel, J.A. Baker, D. Z. Djokovic, P.L. Kanappan and F. Rado, Extensions of certain homomoprhisms of subsemigroups to homomorphisms of groups, Aequationes mathematicae, Vol. 6, Nos. 2-3 (1971), 263–271.

T.S. Blyth and E.F. Robertson, Algebra Through Practice, Book 3, Groups, Rings and Fields, Cambridge University Press, London, 1984.

R.H. Bruck, A Survey of Binary Systems, Springer-Verlag, Berlin-Heidelberg, 1971.

Neal H. McCoy, Introduction to Modern Algebra, Allyn and Bacon, Inc., Boston (USA), 1965.

A. Rosenfield, An Introduction to Algebraic Structures, Holden Day, New York (USA), 1968.

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Published

2016-11-08
CITATION

How to Cite

Madan, V. D. (2016). On Some Homomorphic Extensions of Duo Binary Systems. Journal of Informatics and Mathematical Sciences, 8(3), 139–150. https://doi.org/10.26713/jims.v8i3.267

Issue

Vol. 8 No. 3 (2016)

Section

Research Articles

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