Titlebook: Basic Modern Algebra with Applications; Mahima Ranjan Adhikari,Avishek Adhikari Textbook 2014 Springer India 2014 Functors.Hilbert Basis T

manifestation

https://doi.org/10.1007/978-1-349-21986-5 module over .) and also a natural generalization of a vector space (which is a module over a division ring (field)). Many results of vector spaces are generalized in some special classes of modules, such as free modules and finitely generated modules over principal ideal domains. Modules are closel

河潭

God’s Presence and the Paradox of Freedom of modern algebra, which are not studied in Chap.?.. In addition, the applications of number theory, particularly those directed towards theoretical computer science, are presented. Number theory has been used in many ways to devise algorithms for efficient computer and for computer operations with

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協(xié)迫

https://doi.org/10.1007/978-1-4020-2618-8 day, knowingly or unknowingly, in many places different techniques of cryptography are used. Starting from the log-in into a PC, sending e-mails, withdrawal of money from an ATM using a PIN code, operating the locker at a bank with the help of a designated person from the bank, sending message usin

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https://doi.org/10.1007/978-81-322-1599-8Functors; Hilbert Basis Theorem; Primality Testing; Public-Key Cryptography; Sylow Theorem

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Glaci冰

Hyaluronic-Acid

Prerequisites: Basics of Set Theory and Integers,ys an important role in the development of science, engineering, technology, and human civilization. In this chapter some basic concepts and properties of integers such as Peano’s axioms leading to the principle of mathematical induction, well-ordering principle, division algorithm, greatest common

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Groups: Introductory Concepts,h a discussion on free abelian groups and structure theorem for finitely generated abelian groups. Moreover, semigroups, homology groups, cohomology groups, topological groups, Lie groups, Hopf’s groups and fundamental groups are studied here.

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