Volume 5, Issue 4, August 2019, Page: 57-62
Using Divisor Function and Euler Product Function in Abstract Algebra Concepts
K. Subbanna, Department of Mathematics, Besant Theosophical College, Madanapalle Andhra Pradesh, India
S. Venkatarami Reddy, Department of Mathematics, Besant Theosophical College, Madanapalle Andhra Pradesh, India
S. Gouse Mohiddin, Department of Mathematics, Madanapalle Institute of Technology & Science, Madanapalle, Andhra Pradesh, India
R. Bhuvana Vijaya, Department of Mathematics, Jntua College of Engineering Anantapur, Anantapuramu, Andhra Pradesh, India
Received: Aug. 10, 2019;       Accepted: Sep. 19, 2019;       Published: Oct. 9, 2019
DOI: 10.11648/j.ijtam.20190504.11      View  52      Downloads  17
Abstract
Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations. Number-theoretic questions are expressed in terms of properties of algebraic objects such as algebraic number fields and their rings of integers, finite fields, and function fields. These properties, such as whether a ring admits unique factorization, the behavior of ideals, and the Galois groups of fields, can resolve questions of primary importance in number theory. In this paper for the most part centered around number theory ideas which are utilized in different themes like group theory and ring theory, these speculations are extremely unique ideas to comprehend among this we might want to express our perspectives as far as number hypothesis/theory ideas, such as, to calculate some subgroups of a cyclic group, number of ideals, principal ideals of a ring and number of generators of a cyclic group as far as both regular procedure and number speculation/hypothesis thoughts.
Keywords
Divisors Function, Euler's Phi-function, Field, Number Theory, Abstract Algebra
To cite this article
K. Subbanna, S. Venkatarami Reddy, S. Gouse Mohiddin, R. Bhuvana Vijaya, Using Divisor Function and Euler Product Function in Abstract Algebra Concepts, International Journal of Theoretical and Applied Mathematics. Vol. 5, No. 4, 2019, pp. 57-62. doi: 10.11648/j.ijtam.20190504.11
Copyright
Copyright © 2019 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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