A First Graduate Course in Abstract Algebra
A First Graduate Course in Abstract Algebra
Description
Divided into two sections, this book covers both the standard topics (groups, modules, rings, and vector spaces) associated with abstract algebra and more advanced topics such as Galois fields, noncommutative rings, group extensions, and Abelian groups. The author includes review material where needed instead of in a single chapter, giving convenient access with minimal page turning. He also provides ample examples, exercises, and problem sets to reinforce the material. This book illustrates the theory of finitely generated modules over principal ideal domains, discusses tensor products, and demonstrates the development of determinants. It also covers Sylow theory and Jordan canonical form.
A First Graduate Course in Abstract Algebra is ideal for a two-semester course, providing enough examples, problems, and exercises for a deep understanding. Each of the final three chapters is logically independent and can be covered in any order, perfect for a customized syllabus.
Customers Also Viewed
Discover your next great read at BookLoop, Australia's trusted online bookstore offering a vast selection of titles across various genres and interests. Whether you're curious about what's trending or searching for graphic novels that captivate, thrilling crime and mystery fiction, or exhilarating action and adventure stories, our curated collections have something for every reader. Delve into imaginative fantasy worlds or explore the realms of science fiction that challenge the boundaries of reality.
For those with a green thumb, our comprehensive range of gardening books provides insights and tips for all levels of enthusiasts. If you're aiming to enhance your financial acumen, our selection of finance, business, and management books offers valuable knowledge from industry experts. Craft lovers will appreciate our assortment of handicrafts, decorative arts, and crafts books, perfect for inspiring your next project. Engage your mind with our collection of hobbies, quizzes, and games books, or explore the mystical with our fortune-telling and divination guides.
Transportation aficionados can immerse themselves in our extensive transportation books, including detailed works on road and motor vehicles. Young readers are not left out, with a delightful array of picture books and early learning concepts designed to educate and entertain. Fans of contemporary narratives will find compelling stories in our contemporary fiction section. Embark on epic journeys with our fantasy and science fiction titles, or gain inspiration from real-life tales in our biographies and true stories collection. Health-conscious readers can explore our health and wholefood cooking books, focusing on specific diets and conditions.
Stay updated with the literary world by browsing our trending books, featuring the latest bestsellers and critically acclaimed works. Explore titles from popular brands like Minecraft, Pokemon, Star Wars, Bluey, Lonely Planet, ABIA award winners, Peppa Pig, and our specialized collection of ADHD books. At BookLoop, we are committed to providing a diverse and enriching reading experience for all.