標(biāo)題: Titlebook: Basic Modern Algebra with Applications; Mahima Ranjan Adhikari,Avishek Adhikari Textbook 2014 Springer India 2014 Functors.Hilbert Basis T [打印本頁] 作者: Stimulant 時(shí)間: 2025-3-21 16:25
書目名稱Basic Modern Algebra with Applications影響因子(影響力)
書目名稱Basic Modern Algebra with Applications影響因子(影響力)學(xué)科排名
書目名稱Basic Modern Algebra with Applications網(wǎng)絡(luò)公開度
書目名稱Basic Modern Algebra with Applications網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Basic Modern Algebra with Applications被引頻次
書目名稱Basic Modern Algebra with Applications被引頻次學(xué)科排名
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書目名稱Basic Modern Algebra with Applications年度引用學(xué)科排名
書目名稱Basic Modern Algebra with Applications讀者反饋
書目名稱Basic Modern Algebra with Applications讀者反饋學(xué)科排名
作者: 新鮮 時(shí)間: 2025-3-21 20:54 作者: affect 時(shí)間: 2025-3-22 04:12
Actions of Groups, Topological Groups and Semigroups, a group action. For a topological group action on a topological space, this permutation is a homeomorphism and for a Lie group action on a differentiable manifold it is a diffeomorphism. Group actions are used in the proofs of the Counting Principle, Cayley’s Theorem, Cauchy’s Theorem and Sylow The作者: 線 時(shí)間: 2025-3-22 07:37
Rings: Introductory Concepts,udy of modern algebra. A group is endowed with only one binary operation while a ring is endowed with two binary operations connected by some interrelations. Fields form a very important class of rings. The concept of rings arose through the attempts to prove Fermat’s last theorem and was initiated 作者: 生意行為 時(shí)間: 2025-3-22 11:28 作者: patriarch 時(shí)間: 2025-3-22 16:29 作者: 反復(fù)拉緊 時(shí)間: 2025-3-22 19:25 作者: 延期 時(shí)間: 2025-3-22 23:52
Vector Spaces,r vector spaces and closely related fundamental concepts, such as linear independence, basis, dimension, linear transformation and its matrix representation, eigenvalue, inner product space, Hilbert space, quadratic form, Jordan canonical form etc., are studied. Such concepts form an integral part o作者: 儀式 時(shí)間: 2025-3-23 04:37
Modules, 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作者: 極為憤怒 時(shí)間: 2025-3-23 09:18
Algebraic Aspects of Number Theory, 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作者: fringe 時(shí)間: 2025-3-23 10:46
Algebraic Numbers,er is a complex number which is algebraic over the field . of rational numbers. An algebraic number field is a subfield of the field . of complex numbers, which is a finite field extension of the field . and obtained from . by adjoining a finite number of algebraic elements. The concepts of algebrai作者: Firefly 時(shí)間: 2025-3-23 14:45 作者: 外來 時(shí)間: 2025-3-23 20:04 作者: Allege 時(shí)間: 2025-3-23 23:42
Religious Texts as Models for Exclusionks for the subject called today modern algebra. The theory of groups began with the work of J.L. Lagrange (1736–1813) and E. Galois (1811–1832). At that time, mathematicians worked with groups of transformations. These were sets of mappings which possessed certain properties under composition. Mathe作者: Credence 時(shí)間: 2025-3-24 05:58
M. A. Mohamed Salih,Bas Gaay de Fortman a group action. For a topological group action on a topological space, this permutation is a homeomorphism and for a Lie group action on a differentiable manifold it is a diffeomorphism. Group actions are used in the proofs of the Counting Principle, Cayley’s Theorem, Cauchy’s Theorem and Sylow The作者: hereditary 時(shí)間: 2025-3-24 08:54 作者: 荒唐 時(shí)間: 2025-3-24 13:49
M. A. Mohamed Salih,Bas Gaay de Fortmanand homomorphisms of rings are closely related. Like normal subgroups in the theory of groups, ideals play an analogous role in the study of rings. The real significance of ideals in a ring is that they enable us to construct other rings which are associated with the first in a natural way. Commutat作者: 產(chǎn)生 時(shí)間: 2025-3-24 17:23
https://doi.org/10.1007/978-1-349-21986-5f Arithmetic for integers with the help of theory of ideals. The main aim of this chapter is to study the problem of factoring the elements of an integral domain as products of irreducible elements. The polynomial rings over a certain class of important rings are studied and the Eisenstein irreducib作者: 向下 時(shí)間: 2025-3-24 20:44 作者: Cosmopolitan 時(shí)間: 2025-3-24 23:38
Studies in Literature and Religionr vector spaces and closely related fundamental concepts, such as linear independence, basis, dimension, linear transformation and its matrix representation, eigenvalue, inner product space, Hilbert space, quadratic form, Jordan canonical form etc., are studied. Such concepts form an integral part o作者: manifestation 時(shí)間: 2025-3-25 06:53
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作者: 河潭 時(shí)間: 2025-3-25 07:59
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作者: 為寵愛 時(shí)間: 2025-3-25 12:28 作者: 協(xié)迫 時(shí)間: 2025-3-25 18:19
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作者: 不可磨滅 時(shí)間: 2025-3-25 22:33
https://doi.org/10.1007/978-81-322-1599-8Functors; Hilbert Basis Theorem; Primality Testing; Public-Key Cryptography; Sylow Theorem作者: 假裝是你 時(shí)間: 2025-3-26 01:54 作者: Glaci冰 時(shí)間: 2025-3-26 07:28 作者: Hyaluronic-Acid 時(shí)間: 2025-3-26 09:33
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 作者: 形狀 時(shí)間: 2025-3-26 12:52
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.作者: enumaerate 時(shí)間: 2025-3-26 19:13 作者: 共同生活 時(shí)間: 2025-3-26 22:06 作者: Vulvodynia 時(shí)間: 2025-3-27 03:09
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作者: 錢財(cái) 時(shí)間: 2025-3-27 08:19 作者: dura-mater 時(shí)間: 2025-3-27 11:35
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作者: Hallmark 時(shí)間: 2025-3-27 17:11
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 作者: 教育學(xué) 時(shí)間: 2025-3-27 21:06
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.作者: 代理人 時(shí)間: 2025-3-27 22:52
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.作者: ONYM 時(shí)間: 2025-3-28 05:22
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作者: Hay-Fever 時(shí)間: 2025-3-28 09:23
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作者: 苦笑 時(shí)間: 2025-3-28 14:18 作者: 暫停,間歇 時(shí)間: 2025-3-28 18:29
https://doi.org/10.1007/978-1-4020-2618-8 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作者: TRAWL 時(shí)間: 2025-3-28 21:28
theory, cryptography and theoretical computer science interlink the subject with different areas. Each chapter discusses individual topics, starting from the basics, with the help of illustrative examples. Thi978-81-322-3498-2978-81-322-1599-8作者: syncope 時(shí)間: 2025-3-29 00:22
Textbook 2014 applications to algebraic topology, category theory, algebraic geometry, algebraic number theory, cryptography and theoretical computer science interlink the subject with different areas. Each chapter discusses individual topics, starting from the basics, with the help of illustrative examples. Thi作者: DENT 時(shí)間: 2025-3-29 05:38 作者: Callus 時(shí)間: 2025-3-29 07:20
https://doi.org/10.1007/978-1-349-21986-5ility criterion, and the Gauss Lemma are proved and related topics are discussed. The study culminates in proving the Gauss Theorem, which provides an extensive class of uniquely factorizable domains.作者: 宏偉 時(shí)間: 2025-3-29 13:19 作者: landfill 時(shí)間: 2025-3-29 15:36
M. A. Mohamed Salih,Bas Gaay de Fortmanples. Ideals of rings of continuous functions and the Chinese Remainder Theorem for rings with their applications are also studied. Finally, applications of ideals to algebraic geometry Hilbert’s Nullstellensatz theorem, and the Zariski topology are discussed in this chapter.作者: NORM 時(shí)間: 2025-3-29 21:34 作者: CANDY 時(shí)間: 2025-3-30 01:15
https://doi.org/10.1007/978-1-4020-2618-8by using homotopy (discussed in Chap.?.). Moreover, countability of algebraic numbers, existence of transcendental numbers, impossibility of duplication of a general cube and that of trisection of a general angle are shown in this chapter.