標題: Titlebook: Abstract Algebra; Suitable for Self-St Marco Hien Textbook 2024 The Editor(s) (if applicable) and The Author(s), under exclusive license to [打印本頁] 作者: 補給線 時間: 2025-3-21 18:26
書目名稱Abstract Algebra影響因子(影響力)
書目名稱Abstract Algebra影響因子(影響力)學科排名
書目名稱Abstract Algebra網絡公開度
書目名稱Abstract Algebra網絡公開度學科排名
書目名稱Abstract Algebra被引頻次
書目名稱Abstract Algebra被引頻次學科排名
書目名稱Abstract Algebra年度引用
書目名稱Abstract Algebra年度引用學科排名
書目名稱Abstract Algebra讀者反饋
書目名稱Abstract Algebra讀者反饋學科排名
作者: 非實體 時間: 2025-3-21 23:41 作者: rectocele 時間: 2025-3-22 02:57
2731-3824 onal intermediate statements and encourages self-reflection..This book contains the basics of abstract algebra.?.In addition to elementary algebraic structures such as groups, rings and solids, Galois theory in particular is developed together with its applications to the cyclotomic fields, finite f作者: 調整 時間: 2025-3-22 05:21
Textbook 2024ons..Special attention is paid to the natural development of the contents. Numerous intermediate explanations support this basic idea, show connections and help to better penetrate the underlying concepts.?.The book is therefore particularly suitable for learning algebra in self-study or accompanying online lectures..作者: 全神貫注于 時間: 2025-3-22 10:19
Rings and Ideals,ill focus on their basic properties in this chapter. In particular, we will discuss the concept of an ideal, which leads to factor rings analogous to factor groups. More specific properties will be discussed in the following chapters.作者: Distribution 時間: 2025-3-22 14:04 作者: 一再困擾 時間: 2025-3-22 17:47
Irreducible Polynomials in UFDs,e further investigation of the roots of . in Galois theory. In this chapter, we develop techniques that can help us whenever the field . is the quotient field of a UFD .. For example for ., this is the case with ..作者: Largess 時間: 2025-3-22 22:52 作者: 消散 時間: 2025-3-23 03:36 作者: 殖民地 時間: 2025-3-23 08:04
Marco HienDevelops the basic concepts and essential statements of abstract algebra up to the Galois theory step by step.Contains a variety of motivational intermediate statements and encourages self-reflection.作者: 蓋他為秘密 時間: 2025-3-23 13:27 作者: 撕裂皮肉 時間: 2025-3-23 14:14
Rings and Ideals,ill focus on their basic properties in this chapter. In particular, we will discuss the concept of an ideal, which leads to factor rings analogous to factor groups. More specific properties will be discussed in the following chapters.作者: COM 時間: 2025-3-23 20:18
Euclidean Rings, Principal Ideal Rings, Noetherian Rings,th remainder, there is a unique prime factor decomposition, there is a greatest common divisor, . Similar properties can be found in the ring .[.] for a field .. In the next two chapters, we will examine such (wishfull) properties that rings can have, abstractly – and also see examples of rings that do not posess these properties.作者: 大火 時間: 2025-3-23 23:34
Irreducible Polynomials in UFDs,e further investigation of the roots of . in Galois theory. In this chapter, we develop techniques that can help us whenever the field . is the quotient field of a UFD .. For example for ., this is the case with ..作者: collagen 時間: 2025-3-24 04:05 作者: URN 時間: 2025-3-24 07:37 作者: 構成 時間: 2025-3-24 13:43 作者: conjunctiva 時間: 2025-3-24 15:13 作者: 黃瓜 時間: 2025-3-24 22:28 作者: 譏諷 時間: 2025-3-24 23:35 作者: 埋伏 時間: 2025-3-25 05:38 作者: Consequence 時間: 2025-3-25 11:29
https://doi.org/10.1007/978-3-662-67974-6Groups; Rings; Galois Theory; Exam preparation; Textbook; Fields作者: FRAUD 時間: 2025-3-25 15:12 作者: cutlery 時間: 2025-3-25 19:18
Abstract Algebra978-3-662-67974-6Series ISSN 2731-3824 Series E-ISSN 2731-3832 作者: BILE 時間: 2025-3-25 22:30 作者: badinage 時間: 2025-3-26 04:07 作者: 檔案 時間: 2025-3-26 04:47 作者: 不規(guī)則 時間: 2025-3-26 09:35
Klausur zum Grundkurs Strahlenschutz,of the fact that the Galois group is a group and that it can be interpreted as a subgroup in the group .(5). Without knowing the roots explicitly, we can nevertheless calculate the Galois group. In Chap.?18 we will see that this implies that the roots cannot be written as an algebraic expression with successive radicals .作者: 同義聯(lián)想法 時間: 2025-3-26 14:09
Einheiten des Strahlenschutzes,xample). We prove fundamental statements about such group actions, especially in the case of actions of finite groups on finite sets. In addition, we formulate and prove the Sylow theorems which are used as an important step in the attempt to classify finite groups.作者: armistice 時間: 2025-3-26 17:45
https://doi.org/10.1007/978-3-540-75849-5An introductory chapter in which the main goals of this book are explained: to investigate on algebraic structures and to better understand polynomial equations with the help of Galois theory.作者: FAWN 時間: 2025-3-26 21:49 作者: 粗糙濫制 時間: 2025-3-27 04:23
Kernenergie und Kernkraftwerke,We start to examine abstract algebraic structures, first focusing on groups. Their definition is very simple, but this also makes them very flexible and generally difficult to classify. In this chapter, we will learn about their basics , in later chapters we will delve into deeper properties.作者: 頂點 時間: 2025-3-27 06:10 作者: ADJ 時間: 2025-3-27 10:21 作者: dura-mater 時間: 2025-3-27 17:09 作者: tackle 時間: 2025-3-27 20:50
Einheiten des Strahlenschutzes,We start to develop Galois theory. In this chapter, we will learn about the concept of the splitting field of a polynomial. In addition, we prove two theorems about the existence of field homomorphisms or their extensions. We call these theorems . and . They will be the core of Galois theory.作者: 易受騙 時間: 2025-3-27 23:36
Kernenergie und Kernkraftwerke,We have seen in previous chapters that - given an algebraic field extension .|. and an algebraic closure . of . -?the set . plays an important role. We now define . field extensions .|. which guarantee that . holds and this is very nice since the right hand side form as group.作者: colostrum 時間: 2025-3-28 03:29
Klausur zum Grundkurs Strahlenschutz,In Chap.?. we saw that it is important to investigate whether an irreducible polynomial has multiple roots in an algebraic closure. This chapter clarifies this question.作者: microscopic 時間: 2025-3-28 06:39 作者: 異端邪說下 時間: 2025-3-28 12:15 作者: 口味 時間: 2025-3-28 16:30
Einheiten des Strahlenschutzes,In this chapter, we examine which finite fields exist and how they are related to each other. The answer to the latter question will be provided by Galois theory.作者: 取之不竭 時間: 2025-3-28 21:38
Kernenergie und Kernkraftwerke,We prove, as an application of Galois theory, that there are polynomial equations . over . of order . whose solutions cannot be solved by radicals. Considering the general equation, one can analogously see that there can be no solution formula for polynomial equations of degree 5 or higher.作者: ALTER 時間: 2025-3-29 01:02 作者: Defiance 時間: 2025-3-29 03:30
Field Extensions and Algebraic Elements,Starting with a base field . and a polynomial equation with coefficients in ., one is naturally lead to involve a larger field . that contains the solutions. This leads to the concept of a field extension . | .. We investigate properties of those, which we mostly obtain from Linear Algebra.作者: 到婚嫁年齡 時間: 2025-3-29 07:52 作者: spinal-stenosis 時間: 2025-3-29 13:15 作者: 流動性 時間: 2025-3-29 18:56
Unique Factorization Domains,An important tool in arithmetic inside the integers . is the unique prime factorization. We will take a closer look at this kind of property for rings—again not all rings will have this property.作者: GOAD 時間: 2025-3-29 22:05 作者: Obsequious 時間: 2025-3-30 00:07 作者: orthopedist 時間: 2025-3-30 07:04 作者: 狗窩 時間: 2025-3-30 10:52
Separability,In Chap.?. we saw that it is important to investigate whether an irreducible polynomial has multiple roots in an algebraic closure. This chapter clarifies this question.作者: 富饒 時間: 2025-3-30 16:27
,Galois Theory (II)—The Fundamental Theorem,In this chapter, the fundamental theorem of Galois theory is stated and proven. Additionally, we prepare for application to the question of a solution formula for polynomial equations of higher degrees.作者: 輕率看法 時間: 2025-3-30 18:50
Cyclotomic Fields,The cyclotomic fields, splitting fields of a polynomial of the form ., are interesting examples of fields that are well understood with the help of Galois theory. We will first consider these with an arbitrary base field, but then we will focus to the case . as the base field.作者: 思鄉(xiāng)病 時間: 2025-3-30 21:48
Finite Fields,In this chapter, we examine which finite fields exist and how they are related to each other. The answer to the latter question will be provided by Galois theory.作者: 尖酸一點 時間: 2025-3-31 04:41 作者: 無能力之人 時間: 2025-3-31 05:12
0302-9743 nd knowledge discovery, knowledge discovery and smart homes, smart learning environments, and visualization data analytics.978-3-642-39145-3978-3-642-39146-0Series ISSN 0302-9743 Series E-ISSN 1611-3349 作者: investigate 時間: 2025-3-31 12:31
Ensemble Learning of Run-Time Prediction Models for Data-Intensive Scientific Workflowsting environments. Obtained results highlight the convenience of using ensemble models in comparison with single/standalone prediction models. Ensemble learning techniques permitted reductions of the prediction error up to 24.9% in comparison with single-model strategies.作者: milligram 時間: 2025-3-31 13:21 作者: Palate 時間: 2025-3-31 17:40 作者: 侵略 時間: 2025-3-31 21:52 作者: 完整 時間: 2025-4-1 03:56
Book 2019g these observations. The study was motivated by the extraordinarily high conductivity of the non-magnetic delafossites PdCoO2 and PtCoO2, the measurement of whose electronic structure is reported and discussed. Two unexpected effects were observed in the course of the investigation; each is describ作者: 珊瑚 時間: 2025-4-1 06:42 作者: 爭議的蘋果 時間: 2025-4-1 11:12
disciplines rarely found in one volume..Contributions from .The catalyst for this book is the fact that noted sociologist Charles Tilly, upon his death in 2008, left one completed chapter of an unfinished manuscript entitled “Cities, States, and Trust Networks,” examining the relationships between
