ISSN : 2488-8648
International Journal of Basic Science and Technology
A publication of the Faculty of Science, Federal University Otuoke, Bayelsa State
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ISSN : 2488-8648
Home About IJBST For Authors Issues Useful Downloads Contact
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×published date:2022-Apr-29
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Abstract
A monoid M = (M, . , e) is an algebraic structure which under a defined binary operation possesses the property of associativity and has identity element. i.e. for all x,y,z in M, the operation x.(y.z) = (x.y).z and x.e = e.x = e in the operation (x,y) →(x.y). If M is a monoid and R in M an equivalence relation on M satisfying the property xRu and yRv implies x.y R u.v , then R is a congruence relation. The usefulness of function to monoids transformation in connection to word construction in computer arithmetic is investigated. Machine approaches derived from homomorphic theory are used to demonstrate the linked concepts of simulation and realisation. Some theorems about algebraic structures and machines are given and demonstrated with appropriate illustrations.
Keywords: Monoid, Algebraic Structure, Binary Operation, Computer Arithmetic, Homomorphic Theory
Anzt, H. and Huckle, K. (2019). The fundamentals of monoids in machines. The international Journal of high-performance computing applications. 33(6), 1069-1078.
Achary, B.P. and Mahapatra, T. (2007). Numerical computation of complex principle value integral.
Arbib, M.A. (1969.) Algebraic theory of machines, languages and semi groups. New York, Academic press.
Arigbadu,B. (1992). Elementary Number theory and Abstract Algebra. London Anfat publishers.
Audu, M.S., Asibong-Ibe, U,J.,Ajala, S.O., Kenku, M.A., Osondu, K.E. and Ajetumobi, M.O.(2001). Lecture notes series number 1. National Mathematical Centre, Abuja Nigeria.
Aziken, G.N. (1996). Numbers and their properties. Lagos, End Time Publishing Home
Balachendra,K .and Mumgesu, A. (2007). Optimal control of singular system via single-term walsh series.153-159. New York, Academic Press.
Goldstain, L.T. (1973). Abstract Algebra,Afirst course. New Jersey. Prentice-Hall Englewood Cliff.
Humphreys, F.J. (1997). A course in Group theory. London, Oxford University Press.
Kohazi, Z. (1970). Switching and Finite Automata theory. New York Mc. Graw- Hill Publishers.
Lehma, D.H. (1968). Machines and Pure Mathematics, pp390
Okonta, P.N. and Emenonye, C.E. (2001). Basic Abstract Algebra. Warri, COEWA Publishers.
Prather, R, (1976). Discrete Mathematical Structure for Computer Science. Boston-Houghton Mifflin Company.
Reingold, B. (1974). Computer Approaches to mathematical problem. New Jersey Prentice-Hall Englewood Cliff.
Saracino, D. (1992). Abstract Algebra- A first course. Illinois. Prospects Heights Publishers.
Yehoshafat, G. (1967) Some properties of the free monoid with applications to automata theory. Journal of Computer and system Sciences; 1, 137-154
Wikipedia (2021) History of Computer Science. https://en.m,wikipedia.org.
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