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Titlebook: Algebra; An Approach via Modu William A. Adkins,Steven H. Weintraub Textbook 1992 Springer Science+Business Media New York 1992 Permutatio

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樓主
發(fā)表于 2025-3-21 17:58:01 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Algebra
期刊簡稱An Approach via Modu
影響因子2023William A. Adkins,Steven H. Weintraub
視頻videohttp://file.papertrans.cn/153/152413/152413.mp4
學(xué)科分類Graduate Texts in Mathematics
圖書封面Titlebook: Algebra; An Approach via Modu William A. Adkins,Steven H. Weintraub Textbook 1992 Springer Science+Business Media New York  1992 Permutatio
影響因子This book is designed as a text for a first-year graduate algebra course. As necessary background we would consider a good undergraduate linear algebra course. An undergraduate abstract algebra course, while helpful, is not necessary (and so an adventurous undergraduate might learn some algebra from this book). Perhaps the principal distinguishing feature of this book is its point of view. Many textbooks tend to be encyclopedic. We have tried to write one that is thematic, with a consistent point of view. The theme, as indicated by our title, is that of modules (though our intention has not been to write a textbook purely on module theory). We begin with some group and ring theory, to set the stage, and then, in the heart of the book, develop module theory. Having developed it, we present some of its applications: canonical forms for linear transformations, bilinear forms, and group representations. Why modules? The answer is that they are a basic unifying concept in mathematics. The reader is probably already familiar with the basic role that vector spaces play in mathematics, and modules are a generaliza- tion of vector spaces. (To be precise, modules are to rings as vector space
Pindex Textbook 1992
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沙發(fā)
發(fā)表于 2025-3-21 20:35:40 | 只看該作者
978-1-4612-6948-9Springer Science+Business Media New York 1992
板凳
發(fā)表于 2025-3-22 03:09:16 | 只看該作者
SMST: A Saliency Map to Scanpath Transformeral form theory for a linear transformation from a vector space to itself. The fundamental results will be presented in Section 4.4. We will start with a rather detailed introduction to the elementary aspects of matrix algebra, including the theory of determinants and matrix representation of linear
地板
發(fā)表于 2025-3-22 06:12:58 | 只看該作者
Databases Theory and Applicationsy if the .[.]-modules . and . are isomorphic (Theorem 4.4.2). Since the structure theorem for finitely generated torsion .[.]-modules gives a criterion for isomorphism in terms of the invariant factors (or elementary divisors), one has a powerful tool for studying linear transformations, up to simil
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https://doi.org/10.1007/978-3-031-47843-7In this chapter we introduce groups and prove some of the basic theorems in group theory. One of these, the structure theorem for finitely generated abelian groups, we do not prove here but instead derive it as a corollary of the more general structure theorem for finitely generated modules over a PID (see Theorem 3.7.22).
7#
發(fā)表于 2025-3-22 19:35:48 | 只看該作者
https://doi.org/10.1007/978-3-031-47843-7(1.1) Definition. . ring (.,+,) . +: . ×.→. (.) . : . ×.→. (.) ..
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發(fā)表于 2025-3-23 01:36:06 | 只看該作者
Lecture Notes in Computer ScienceThis chapter will be concerned with collecting a number of results and constructions concerning modules over (primarily) noncommutative rings that will be needed to study group representation theory in Chapter 8.
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發(fā)表于 2025-3-23 06:02:51 | 只看該作者
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