This book introduces recent developments in the study of algebras defined by quadratic relations. One of the main problems in the study of these (and similarly defined) algebras is how to control their size. A central notion in solving this problem is the notion of a Koszul algebra, which was introduced in 1970 by S. Priddy and then appeared in many areas of mathematics, such as algebraic geometry, representation theory, noncommutative geometry, $K$-theory, number theory, and noncommutative linear algebra. The authors give a coherent exposition of the theory of quadratic and Koszul algebras, including various definitions of Koszulness, duality theory, Poincaré-Birkhoff-Witt-type theorems for Koszul algebras, and the Koszul deformation principle. In the concluding chapter of the book, they explain a surprising connection between Koszul algebras and one-dependent discrete-time stochastic processes. The book can be used by graduate students and researchers working in algebra and any of the above-mentioned areas of mathematics.

*"synopsis" may belong to another edition of this title.*

"The authors are leading experts in the field, and the book is a rather complete statement of the art of these subjects. Many known results are unified and generalized. The book is recommended to anybody interested in these subjects." ---- Mathematical Reviews

*"About this title" may belong to another edition of this title.*

US$ 49.45

**Shipping:**
FREE

From United Kingdom to U.S.A.

Published by
American Mathematical Society, United States
(2005)

ISBN 10: 0821838342
ISBN 13: 9780821838341

New
Paperback
Quantity Available: 1

Seller:

Rating

**Book Description **American Mathematical Society, United States, 2005. Paperback. Condition: New. Language: English . Brand New Book. This book introduces recent developments in the study of algebras defined by quadratic relations. One of the main problems in the study of these (and similarly defined) algebras is how to control their size. A central notion in solving this problem is the notion of a Koszul algebra, which was introduced in 1970 by S. Priddy and then appeared in many areas of mathematics, such as algebraic geometry, representation theory, non commutative geometry, $K$-theory, number theory, and non commutative linear algebra.The authors give a coherent exposition of the theory of quadratic and Koszul algebras, including various definitions of Koszulness, duality theory, Poincare-Birkhoff-Witt-type theorems for Koszul algebras, and the Koszul deformation principle. In the concluding chapter of the book, they explain a surprising connection between Koszul algebras and one-dependent discrete-time stochastic processes. The book can be used by graduate students and researchers working in algebra and any of the above-mentioned areas of mathematics. Seller Inventory # AAN9780821838341

Published by
American Mathematical Society, United States
(2005)

ISBN 10: 0821838342
ISBN 13: 9780821838341

New
Paperback
Quantity Available: 1

Seller:

Rating

**Book Description **American Mathematical Society, United States, 2005. Paperback. Condition: New. Language: English . Brand New Book. This book introduces recent developments in the study of algebras defined by quadratic relations. One of the main problems in the study of these (and similarly defined) algebras is how to control their size. A central notion in solving this problem is the notion of a Koszul algebra, which was introduced in 1970 by S. Priddy and then appeared in many areas of mathematics, such as algebraic geometry, representation theory, non commutative geometry, $K$-theory, number theory, and non commutative linear algebra.The authors give a coherent exposition of the theory of quadratic and Koszul algebras, including various definitions of Koszulness, duality theory, Poincare-Birkhoff-Witt-type theorems for Koszul algebras, and the Koszul deformation principle. In the concluding chapter of the book, they explain a surprising connection between Koszul algebras and one-dependent discrete-time stochastic processes. The book can be used by graduate students and researchers working in algebra and any of the above-mentioned areas of mathematics. Seller Inventory # AAN9780821838341

Published by
American Mathematical Society
(2005)

ISBN 10: 0821838342
ISBN 13: 9780821838341

New
Quantity Available: 1

Seller:

Rating

**Book Description **American Mathematical Society, 2005. PAP. Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Seller Inventory # CE-9780821838341

Published by
American Mathematical Society

ISBN 10: 0821838342
ISBN 13: 9780821838341

New
Paperback
Quantity Available: 1

Seller:

Rating

**Book Description **American Mathematical Society. Paperback. Condition: New. New copy - Usually dispatched within 2 working days. Seller Inventory # B9780821838341

Published by
American Mathematical Society
(2005)

ISBN 10: 0821838342
ISBN 13: 9780821838341

New
Paperback
Quantity Available: 1

Seller:

Rating

**Book Description **American Mathematical Society, 2005. Paperback. Condition: New. Seller Inventory # SONG0821838342

Published by
Amer Mathematical Society
(2005)

ISBN 10: 0821838342
ISBN 13: 9780821838341

New
Paperback
Quantity Available: 1

Seller:

Rating

**Book Description **Amer Mathematical Society, 2005. Paperback. Condition: Brand New. 159 pages. 9.50x6.75x0.25 inches. In Stock. Seller Inventory # __0821838342

Published by
American Mathematical Society
(2005)

ISBN 10: 0821838342
ISBN 13: 9780821838341

New
Paperback
Quantity Available: 2

Seller:

Rating

**Book Description **American Mathematical Society, 2005. Paperback. Condition: New. Never used!. Seller Inventory # P110821838342