000			02223nam a22003017a 4500
003			OSt
005			20241023204455.0
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020			_a9781493999125
040			_aNISER LIBRARY _beng _cNISER LIBRARY
041			_aEnglish
082			_a512.55 _bADK-A
100			_aAdkins, William A
245			_aAlgebra : _ban approach via module theory
260			_aHeidelberg : _bSpringer, _c1992.
300			_ax, 526p. : _bill. ; _c25 cm.
490			_aGraduate texts in mathematics ; _v136
504			_aIncludes bibliographical references (p. [510]) and indexes.
520			_aThis 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 spaces are to fields.
650			_aAlgebra
650			_aModules (Algebra)
650			_aQuadratic form
650			_aHomomorphism
700			_aWeintraub, Steven H.
856			_3Table of contents _uhttps://link.springer.com/content/pdf/bfm:978-1-4612-0923-2/1
856			_3Reviews _uhttps://www.goodreads.com/book/show/64886482-algebra?ref=nav_sb_ss_1_13#CommunityReviews
942			_cBK _2udc
999			_c35328 _d35328