• Prerequisites on semigroup theory.- Prerequisites on ring theory.- Algebras of submonoids of polycyclic-by-finite groups.- General Noetherian semigroup algebras.- Principal ideal rings.- Maximal orders and Noetherian semigroup algebras.- Monoids of I-type.- Monoids of skew type.- Examples.

From the reviews: "This book presents the main results and methods of the theory of Noetherian semigroup algebras over fields. ... This is a highly technical and specialized monograph that will primarily be of use to researchers in the theory of semigroup algebras ... . The many examples given in detail, and the general theory developed, may prove useful to those working in ring or semigroup theory." (Henry E. Heatherly, Mathematical Reviews, Issue 2007 k) "This work presents a comprehensive treatment of the main results and methods of the theory of Noetherian semigroup algebras. ... The main subject in this book is to present when some semigroup algebras are Noetherian and how they are under the Noetherian condition. ... This book is a good reference for researchers who are interested in non-commutative algebra and non-commutative geometry through the method of semigroups." (Li Fang, Zentralblatt MATH, Vol. 1135 (13), 2008) "The book under review is testament to the huge amount and the depth of research on Noetherian semigroup algebras. ... The authors have brought together work from a significant number of research papers and made a coherent whole. ... it is definitely the place to learn about Noetherian semigroup algebras. Essential reading for people interested in semigroup algebras, it will also be of interest to semigroup theorists, particularly because of the wealth of new examples of semigroups it provides." (John Fountain, Semigroup Forum, Vol. 79, 2009)

• Prerequisites on semigroup theory.- Prerequisites on ring theory.- Algebras of submonoids of polycyclic-by-finite groups.- General Noetherian semigroup algebras.- Principal ideal rings.- Maximal orders and Noetherian semigroup algebras.- Monoids of I-type.- Monoids of skew type.- Examples.

From the reviews: "This book presents the main results and methods of the theory of Noetherian semigroup algebras over fields. ... This is a highly technical and specialized monograph that will primarily be of use to researchers in the theory of semigroup algebras ... . The many examples given in detail, and the general theory developed, may prove useful to those working in ring or semigroup theory." (Henry E. Heatherly, Mathematical Reviews, Issue 2007 k) "This work presents a comprehensive treatment of the main results and methods of the theory of Noetherian semigroup algebras. ... The main subject in this book is to present when some semigroup algebras are Noetherian and how they are under the Noetherian condition. ... This book is a good reference for researchers who are interested in non-commutative algebra and non-commutative geometry through the method of semigroups." (Li Fang, Zentralblatt MATH, Vol. 1135 (13), 2008) "The book under review is testament to the huge amount and the depth of research on Noetherian semigroup algebras. ... The authors have brought together work from a significant number of research papers and made a coherent whole. ... it is definitely the place to learn about Noetherian semigroup algebras. Essential reading for people interested in semigroup algebras, it will also be of interest to semigroup theorists, particularly because of the wealth of new examples of semigroups it provides." (John Fountain, Semigroup Forum, Vol. 79, 2009)

• Prerequisites on semigroup theory.- Prerequisites on ring theory.- Algebras of submonoids of polycyclic-by-finite groups.- General Noetherian semigroup algebras.- Principal ideal rings.- Maximal orders and Noetherian semigroup algebras.- Monoids of I-type.- Monoids of skew type.- Examples.

From the reviews: "This book presents the main results and methods of the theory of Noetherian semigroup algebras over fields. ... This is a highly technical and specialized monograph that will primarily be of use to researchers in the theory of semigroup algebras ... . The many examples given in detail, and the general theory developed, may prove useful to those working in ring or semigroup theory." (Henry E. Heatherly, Mathematical Reviews, Issue 2007 k) "This work presents a comprehensive treatment of the main results and methods of the theory of Noetherian semigroup algebras. ... The main subject in this book is to present when some semigroup algebras are Noetherian and how they are under the Noetherian condition. ... This book is a good reference for researchers who are interested in non-commutative algebra and non-commutative geometry through the method of semigroups." (Li Fang, Zentralblatt MATH, Vol. 1135 (13), 2008) "The book under review is testament to the huge amount and the depth of research on Noetherian semigroup algebras. ... The authors have brought together work from a significant number of research papers and made a coherent whole. ... it is definitely the place to learn about Noetherian semigroup algebras. Essential reading for people interested in semigroup algebras, it will also be of interest to semigroup theorists, particularly because of the wealth of new examples of semigroups it provides." (John Fountain, Semigroup Forum, Vol. 79, 2009)