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

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樓主: Stimulant
31#
發(fā)表于 2025-3-26 22:06:32 | 只看該作者
32#
發(fā)表于 2025-3-27 03:09:39 | 只看該作者
Modules, such as free modules, modules over principal ideal domains along with structure theorems, exact sequences of modules and their homomorphisms, Noetherian and Artinian modules, homology, and cohomology modules are studied. The study culminates in a discussion of the topology of the spectrum of module
33#
發(fā)表于 2025-3-27 08:19:42 | 只看該作者
34#
發(fā)表于 2025-3-27 11:35:47 | 只看該作者
Introduction to Mathematical Cryptography, cryptography is introduced and a brief overview of the subject with its basic goal is presented both intuitively and mathematically. More precisely, various cryptographic notions starting from the historical ciphers to modern cryptographic notions like public-key encryption schemes, signature schem
35#
發(fā)表于 2025-3-27 17:11:34 | 只看該作者
https://doi.org/10.1007/978-3-319-65400-3ys 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
36#
發(fā)表于 2025-3-27 21:06:03 | 只看該作者
Religious Texts as Models for Exclusionh 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.
37#
發(fā)表于 2025-3-27 22:52:41 | 只看該作者
The Qur’an and Religious Freedom on finite division rings, and some special rings, such as rings of power series, rings of polynomials, rings of continuous functions, rings of endomorphisms of abelian groups and Boolean rings are also studied.
38#
發(fā)表于 2025-3-28 05:22:45 | 只看該作者
God’s Presence and the Paradox of Freedomonvenient equivalent formulation of the Noetherian requirement is that the ideals of the ring satisfy the ascending chain condition. A connection between a Noetherian domain and a factorization domain is established. Moreover, the Hilbert Basis Theorem is proved. This theorem has made a revolution a
39#
發(fā)表于 2025-3-28 09:23:14 | 只看該作者
https://doi.org/10.1007/978-1-349-21986-5 such as free modules, modules over principal ideal domains along with structure theorems, exact sequences of modules and their homomorphisms, Noetherian and Artinian modules, homology, and cohomology modules are studied. The study culminates in a discussion of the topology of the spectrum of module
40#
發(fā)表于 2025-3-28 14:18:24 | 只看該作者
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