標(biāo)題: Titlebook: Algebra; Thomas W. Hungerford Textbook 1974 Springer-Verlag New York, Inc. 1974 Adjoint functor.Coproduct.Galois theory.algebra.field.fini [打印本頁(yè)] 作者: exposulate 時(shí)間: 2025-3-21 16:09
書(shū)目名稱(chēng)Algebra影響因子(影響力)
作者: 手段 時(shí)間: 2025-3-21 23:38
Rings,the field of rational numbers from the ring of integers is generalized and rings of quotients of an arbitrary commutative ring are considered in some detail. In the last two sections the ring of polynomials in . indeterminates over a ring . is studied. In particular, the concepts of Section 3 are st作者: 瑣事 時(shí)間: 2025-3-22 04:20
Eman M. M. Zayed,Ola H. Abdelbarps (Sections 1, 2, 4, 5, and 8 of Chapter I and Sections 4 and 5 of Chapter II). In addition we shall study some classes of groups whose structure is known in large part and which have useful applications in other areas of mathematics, such as symmetric groups (Section 6), free [abelian] groups (Sec作者: WITH 時(shí)間: 2025-3-22 06:52
Eman M. M. Zayed,Ola H. Abdelbarthe field of rational numbers from the ring of integers is generalized and rings of quotients of an arbitrary commutative ring are considered in some detail. In the last two sections the ring of polynomials in . indeterminates over a ring . is studied. In particular, the concepts of Section 3 are st作者: Trochlea 時(shí)間: 2025-3-22 11:24
0072-5285 uate student and flexible enough to accomodate a wide variety of instructors and course contents. The guiding philosophical principle throughout the text is that the material should be presented in the maximum usable generality consistent with good pedagogy. Therefore it is essentially self-containe作者: Pelvic-Floor 時(shí)間: 2025-3-22 16:53
Date Palm Biotechnology Protocols Volume Is with abelian groups. The chapter has three main divisions which are essentially independent of one another, except that results from one may be used as examples or motivation in the others. The interdependence of the sections is as follows.作者: dilute 時(shí)間: 2025-3-22 19:51 作者: Delectable 時(shí)間: 2025-3-22 21:25 作者: creatine-kinase 時(shí)間: 2025-3-23 05:18
Categories,larities. Consequently it is frequently possible to provide a proof in a categorical setting, which has as special cases the previously known results from two different areas. This unification process provides a means of comprehending wider areas of mathematics as well as new topics whose fundamentals are expressible in categorical terms.作者: 懶洋洋 時(shí)間: 2025-3-23 09:29
Introduction, and its equivalents (Section 7) and cardinal arithmetic (last part of Section 8) may be postponed until this information is actually used. Finally the reader is presumed to have some familiarity with the fields ., ., and . of rational, real, and complex numbers respectively.作者: 健壯 時(shí)間: 2025-3-23 12:28 作者: muscle-fibers 時(shí)間: 2025-3-23 16:31 作者: considerable 時(shí)間: 2025-3-23 18:23
The Structure of Fields,dence base, whose cardinality (called the transcendence degree) turns out to be an invariant of the extension of . by . (Section 1). The notion of separability is extended to (possibly) nonalgebraic extensions in Section 2 and separable extensions are characterized in several ways.作者: 食道 時(shí)間: 2025-3-23 23:09
Linear Algebra,hism (relative to different bases) leads to the concepts of equivalence and similarity of matrices (Sections 2 and 4). Certain important invariants of matrices under similarity are considered in Section 5. Determinants of matrices (Section 3) are quite useful at several points in the discussion.作者: Fraudulent 時(shí)間: 2025-3-24 03:04
Textbook 1974s clarity rather than brevity and contains an unusually large number of illustrative exercises. The book covers major areas of modern algebra, which is a necessity for most mathematics students in sufficient breadth and depth.作者: 分發(fā) 時(shí)間: 2025-3-24 06:48 作者: 淡紫色花 時(shí)間: 2025-3-24 12:29
https://doi.org/10.1007/978-981-99-0475-4obtain really strong structure theorems. These ideas are discussed in full detail in the introductions to Sections 1 and 2 below. The reader would do well to read both these discussions before beginning serious study of the chapter.作者: ACE-inhibitor 時(shí)間: 2025-3-24 17:07
The Structure of Rings,obtain really strong structure theorems. These ideas are discussed in full detail in the introductions to Sections 1 and 2 below. The reader would do well to read both these discussions before beginning serious study of the chapter.作者: liaison 時(shí)間: 2025-3-24 21:37 作者: 連累 時(shí)間: 2025-3-25 02:42
Maiada M. El-Dawayati,Zeinab E. Zayed and its equivalents (Section 7) and cardinal arithmetic (last part of Section 8) may be postponed until this information is actually used. Finally the reader is presumed to have some familiarity with the fields ., ., and . of rational, real, and complex numbers respectively.作者: 無(wú)辜 時(shí)間: 2025-3-25 03:24 作者: 孵卵器 時(shí)間: 2025-3-25 11:33 作者: capillaries 時(shí)間: 2025-3-25 12:28
Date Palm Biotechnology Protocols Volume IIdence base, whose cardinality (called the transcendence degree) turns out to be an invariant of the extension of . by . (Section 1). The notion of separability is extended to (possibly) nonalgebraic extensions in Section 2 and separable extensions are characterized in several ways.作者: Misgiving 時(shí)間: 2025-3-25 16:23
https://doi.org/10.1007/978-1-4939-7159-6hism (relative to different bases) leads to the concepts of equivalence and similarity of matrices (Sections 2 and 4). Certain important invariants of matrices under similarity are considered in Section 5. Determinants of matrices (Section 3) are quite useful at several points in the discussion.作者: 名詞 時(shí)間: 2025-3-25 22:13
Introduction,ception of the distinction between sets and proper classes (Section 2), the characterization of the Cartesian product by a universal mapping property (Theorem 5.2) and the Recursion Theorem 6.2). The definition of cardinal number (first part of Section 8) will be used frequently. The Axiom of Choice作者: Delirium 時(shí)間: 2025-3-26 02:56
Groups,lly the same are said to be isomorphic. Ideally the goal in studying groups is to classify all groups up to isomorphism, which in practice means finding necessary and sufficient conditions for two groups to be isomorphic. At present there is little hope of classifying arbitrary groups. But it is pos作者: micronutrients 時(shí)間: 2025-3-26 05:01 作者: 悲觀(guān) 時(shí)間: 2025-3-26 10:56
Rings,r more complicated than the corresponding problem for groups. It will be partially dealt with in Chapter IX. The present chapter is concerned, for the most part, with presenting those facts in the theory of rings that are most frequently used in several areas of algebra. The first two sections deal 作者: 項(xiàng)目 時(shí)間: 2025-3-26 14:14 作者: 不來(lái) 時(shí)間: 2025-3-26 20:05 作者: 有效 時(shí)間: 2025-3-27 00:59 作者: 親屬 時(shí)間: 2025-3-27 01:58
Linear Algebra,momorphisms of (finitely generated) free modules (in particular, linear transformations of finite dimensional vector spaces). There is a crucial relationship between such homomorphisms and matrices (Section 1). The investigation of the connection between two matrices that represent the same homomorp作者: 國(guó)家明智 時(shí)間: 2025-3-27 07:54 作者: mastopexy 時(shí)間: 2025-3-27 11:50
The Structure of Rings,pplication, complete structure theorems are available only for certain classes of rings. The basic method for determining such a class of rings might be described intuitively as follows. One singles out an “undesirable” property . that satisfies certain conditions, in particular, that every ring has作者: peptic-ulcer 時(shí)間: 2025-3-27 15:56
Categories,k of Eilenberg-Mac-Lane in algebraic topology in the 1940s. It was soon apparent that these concepts had far wider applications. Many different mathematical topics may be interpreted in terms of categories so that the techniques and theorems of the theory of categories may be applied to these topics作者: 吵鬧 時(shí)間: 2025-3-27 20:28
Algebra978-1-4612-6101-8Series ISSN 0072-5285 Series E-ISSN 2197-5612 作者: 緯線(xiàn) 時(shí)間: 2025-3-27 23:20 作者: indemnify 時(shí)間: 2025-3-28 04:56
Commutative Rings and Modules,d prime ideals (Section 2), both of which play a central role in the study of commutative rings. Actually no commutativity restrictions are made in Section 1 since this material is also essential in the study of arbitrary rings (Chapter IX).作者: 諷刺 時(shí)間: 2025-3-28 10:14 作者: Thyroiditis 時(shí)間: 2025-3-28 12:54
Eman M. M. Zayed,Ola H. Abdelbarlly the same are said to be isomorphic. Ideally the goal in studying groups is to classify all groups up to isomorphism, which in practice means finding necessary and sufficient conditions for two groups to be isomorphic. At present there is little hope of classifying arbitrary groups. But it is pos作者: catagen 時(shí)間: 2025-3-28 16:12 作者: LAIR 時(shí)間: 2025-3-28 21:10
Eman M. M. Zayed,Ola H. Abdelbarr more complicated than the corresponding problem for groups. It will be partially dealt with in Chapter IX. The present chapter is concerned, for the most part, with presenting those facts in the theory of rings that are most frequently used in several areas of algebra. The first two sections deal 作者: 時(shí)代 時(shí)間: 2025-3-29 02:48 作者: neutral-posture 時(shí)間: 2025-3-29 07:06
Maryam,Muhammad J. Jaskani,Summar A. Naqvi be an extension field of .). The basic facts about field extensions are developed in Section 1, in particular, the distinction between algebraic and transcendental extensions. For the most part we deal only with algebraic extensions in this chapter. Arbitrary field extensions are considered in Chap作者: crease 時(shí)間: 2025-3-29 09:43
Date Palm Biotechnology Protocols Volume II emphasis here will be on transcendental extensions. As the first step in this analysis, we shall show that every field extension . ? . is in fact a two-step extension . ? . ? ., with . algebraic over . and . purely transcendental over . (Section 1). The basic concept used here is that of a transcen作者: neuron 時(shí)間: 2025-3-29 14:44 作者: 輕彈 時(shí)間: 2025-3-29 16:52 作者: 拔出 時(shí)間: 2025-3-29 22:36 作者: 適宜 時(shí)間: 2025-3-30 02:14
