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An Introduction to Noncommutative Noetherian Rings
This introduction to noncommutative noetherian rings is intended to be accessible to anyone with a basic background in abstract algebra. It can be used as a second-year graduate text, or as a self-contained reference. Extensive explanatory discussion is given, and exercises are integrated throughout. This edition incorporates substantial revisions, particularly in the first third of the book, where the presentation has been changed to increase accessibility and topicality. New material includes the basic types of quantum groups, which then serve as test cases for the theory developed.
The Breckinridges of Kentucky
Across more than six generations—beginning before the Revolutionary War—the Breckinridge family has produced a series of notable leaders. These often controversial men and women included a presidential candidate, a U.S. vice president, cabinet members, generals, women's rights advocates, congressmen, editors, reformers, authors, and church leaders. Along with success, the Breckinridges, like other Americans, faced hardship and war, contended with race, lived through difficult family situations—including a sex scandal—and encountered personal and political failure. An articulate, opinionated, and frank family, the Breckinridges have left a detailed record that allows us a vivid recreation of the range of American history and society.
Integers, Polynomials, and Rings
This book began life as a set of notes that I developed for a course at the University of Washington entitled Introduction to Modern Algebra for Tea- ers. Originally conceived as a text for future secondary-school mathematics teachers, it has developed into a book that could serve well as a text in an - dergraduatecourseinabstractalgebraoracoursedesignedasanintroduction to higher mathematics. This book di?ers from many undergraduate algebra texts in fundamental ways; the reasons lie in the book’s origin and the goals I set for the course. The course is a two-quarter sequence required of students intending to f- ?ll the requirements of the teacher preparation option for our B.A. degree in mathematics, or of the teacher preparation minor. It is required as well of those intending to matriculate in our university’s Master’s in Teaching p- gram for secondary mathematics teachers. This is the principal course they take involving abstraction and proof, and they come to it with perhaps as little background as a year of calculus and a quarter of linear algebra. The mathematical ability of the students varies widely, as does their level of ma- ematical interest.
Handbook of Algebra
Handbook of Algebra
Proceedings
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Abelian Group Theory
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Proud Kentuckian, John C. Breckinridge, 1821-1875
Biography of John Cabell Breckinridge: "a lawyer, U.S. Representative, Senator from Kentucky, the 14th Vice President of the United States, Southern Democratic candidate for President in 1860, a Confederate general in the American Civil War, and the last Confederate Secretary of War. To date, Breckinridge is the youngest vice president in U.S. history, inaugurated at age 36. He is also remembered as the Confederate commander at the Battle of New Market, where young VMI cadets participated in the battle on the Confederate side."-Wikipedia.
