By William A. Adkins

This e-book is designed as a textual content for a first-year graduate algebra path. As precious heritage we might contemplate an outstanding undergraduate linear algebra path. An undergraduate summary algebra path, whereas useful, isn't really valuable (and so an adventurous undergraduate may well research a few algebra from this book). might be the valuable distinguishing function of this booklet is its perspective. Many textbooks are typically encyclopedic. now we have attempted to write down one who is thematic, with a constant viewpoint. The topic, as indicated via our name, is that of modules (though our goal has no longer been to jot down a textbook merely on module theory). we commence with a few workforce and ring idea, to set the degree, after which, within the middle of the e-book, strengthen module thought. Having built it, we current a few of its purposes: canonical varieties for linear alterations, bilinear varieties, and workforce representations. Why modules? the answer's that they're a simple unifying inspiration in arithmetic. The reader is maybe already conversant in the fundamental position that vector areas play in arithmetic, and modules are a generaliza­ tion of vector areas. (To be designated, modules are to earrings as vector areas are to fields.

Show description

Read or Download Algebra: An Approach via Module Theory (Graduate Texts in Mathematics) PDF

Similar Algebra Trigonometry books

Theory of Sheaves

Conception of sheaves.

Matrix Theory: A Second Course (University Series in Mathematics)

Linear algebra and matrix conception are basically synonymous phrases for a space of arithmetic that has develop into some of the most priceless and pervasive instruments in a variety of disciplines. it's also a subject matter of significant mathematical good looks. consequently of either one of those proof, linear algebra has more and more been introduced into reduce degrees of the curriculum, both along with the calculus or break free it yet on the similar point.

Algebra and Trigonometry (4th Edition)

Beecher, Penna, and Bittinger’s Algebra and Trigonometry is understood for permitting scholars to “see the mathematics” via its specialize in visualization and early advent to features. With the Fourth variation, the authors proceed to innovate by means of incorporating extra ongoing assessment to aid scholars improve their realizing and examine successfully.

Additional info for Algebra: An Approach via Module Theory (Graduate Texts in Mathematics)

Show sample text content

Rated 4.85 of 5 – based on 5 votes