manifestation
发表于 2025-3-25 06:53:04
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
发表于 2025-3-25 07:59:19
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
为宠爱
发表于 2025-3-25 12:28:21
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协迫
发表于 2025-3-25 18:19:49
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
不可磨灭
发表于 2025-3-25 22:33:17
https://doi.org/10.1007/978-81-322-1599-8Functors; Hilbert Basis Theorem; Primality Testing; Public-Key Cryptography; Sylow Theorem
假装是你
发表于 2025-3-26 01:54:09
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Glaci冰
发表于 2025-3-26 07:28:23
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Hyaluronic-Acid
发表于 2025-3-26 09:33:27
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
形状
发表于 2025-3-26 12:52:14
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.
enumaerate
发表于 2025-3-26 19:13:44
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