Author: G. Betsch
Publisher: Elsevier
ISBN: 0080872484
Category : Mathematics
Languages : en
Pages : 313
Book Description
Most topics in near-ring and near-field theory are treated here, along with an extensive introduction to the theory.There are two invited lectures: ``Non-Commutative Geometry, Near-Rings and Near-Fields'' which indicates the relevance of near-rings and near-fields for geometry, while ``Pseudo-Finite Near-Fields'' shows the impressive power of model theoretic methods. The remaining papers cover such topics as D.G. near-rings, radical theory, KT-near-fields, matrix near-rings, and applications to systems theory.
Near-Rings and Near-Fields
Author: G. Betsch
Publisher: Elsevier
ISBN: 0080872484
Category : Mathematics
Languages : en
Pages : 313
Book Description
Most topics in near-ring and near-field theory are treated here, along with an extensive introduction to the theory.There are two invited lectures: ``Non-Commutative Geometry, Near-Rings and Near-Fields'' which indicates the relevance of near-rings and near-fields for geometry, while ``Pseudo-Finite Near-Fields'' shows the impressive power of model theoretic methods. The remaining papers cover such topics as D.G. near-rings, radical theory, KT-near-fields, matrix near-rings, and applications to systems theory.
Publisher: Elsevier
ISBN: 0080872484
Category : Mathematics
Languages : en
Pages : 313
Book Description
Most topics in near-ring and near-field theory are treated here, along with an extensive introduction to the theory.There are two invited lectures: ``Non-Commutative Geometry, Near-Rings and Near-Fields'' which indicates the relevance of near-rings and near-fields for geometry, while ``Pseudo-Finite Near-Fields'' shows the impressive power of model theoretic methods. The remaining papers cover such topics as D.G. near-rings, radical theory, KT-near-fields, matrix near-rings, and applications to systems theory.
Near-Rings and Near-Fields
Author: Yuen Fong
Publisher: Springer Science & Business Media
ISBN: 9401103593
Category : Mathematics
Languages : en
Pages : 271
Book Description
Near-Rings and Near-Fields opens with three invited lectures on different aspects of the history of near-ring theory. These are followed by 26 papers reflecting the diversity of the subject in regard to geometry, topological groups, automata, coding theory and probability, as well as the purely algebraic structure theory of near-rings. Audience: Graduate students of mathematics and algebraists interested in near-ring theory.
Publisher: Springer Science & Business Media
ISBN: 9401103593
Category : Mathematics
Languages : en
Pages : 271
Book Description
Near-Rings and Near-Fields opens with three invited lectures on different aspects of the history of near-ring theory. These are followed by 26 papers reflecting the diversity of the subject in regard to geometry, topological groups, automata, coding theory and probability, as well as the purely algebraic structure theory of near-rings. Audience: Graduate students of mathematics and algebraists interested in near-ring theory.
The Theory of Near-Rings
Author: Robert Lockhart
Publisher: Springer Nature
ISBN: 3030817555
Category : Mathematics
Languages : en
Pages : 555
Book Description
This book offers an original account of the theory of near-rings, with a considerable amount of material which has not previously been available in book form, some of it completely new. The book begins with an introduction to the subject and goes on to consider the theory of near-fields, transformation near-rings and near-rings hosted by a group. The bulk of the chapter on near-fields has not previously been available in English. The transformation near-rings chapters considerably augment existing knowledge and the chapters on product hosting are essentially new. Other chapters contain original material on new classes of near-rings and non-abelian group cohomology. The Theory of Near-Rings will be of interest to researchers in the subject and, more broadly, ring and representation theorists. The presentation is elementary and self-contained, with the necessary background in group and ring theory available in standard references.
Publisher: Springer Nature
ISBN: 3030817555
Category : Mathematics
Languages : en
Pages : 555
Book Description
This book offers an original account of the theory of near-rings, with a considerable amount of material which has not previously been available in book form, some of it completely new. The book begins with an introduction to the subject and goes on to consider the theory of near-fields, transformation near-rings and near-rings hosted by a group. The bulk of the chapter on near-fields has not previously been available in English. The transformation near-rings chapters considerably augment existing knowledge and the chapters on product hosting are essentially new. Other chapters contain original material on new classes of near-rings and non-abelian group cohomology. The Theory of Near-Rings will be of interest to researchers in the subject and, more broadly, ring and representation theorists. The presentation is elementary and self-contained, with the necessary background in group and ring theory available in standard references.
Near-Rings and Near-Fields
Author: Howard E Bell
Publisher:
ISBN: 9789401103602
Category :
Languages : en
Pages : 292
Book Description
Publisher:
ISBN: 9789401103602
Category :
Languages : en
Pages : 292
Book Description
Near Rings, Near Fields, and Related Topics
Author: Kuncham Syam Prasad
Publisher:
ISBN: 9789813207363
Category : Algebraic fields
Languages : en
Pages : 324
Book Description
"Recent developments in various algebraic structures and the applications of those in different areas play an important role in Science and Technology. One of the best tools to study the non-linear algebraic systems is the theory of Near-rings. The forward note by Günter Pilz (Johannes Kepler University, Austria) explains about past developments and future prospects in the theory of nearrings and nearfields. Certain applications of nearrings are found in a few chapters. Some of the chapters are independent; however flow is maintained in all the chapters. It also include few chapters of exploratory approach."--Publisher's website.
Publisher:
ISBN: 9789813207363
Category : Algebraic fields
Languages : en
Pages : 324
Book Description
"Recent developments in various algebraic structures and the applications of those in different areas play an important role in Science and Technology. One of the best tools to study the non-linear algebraic systems is the theory of Near-rings. The forward note by Günter Pilz (Johannes Kepler University, Austria) explains about past developments and future prospects in the theory of nearrings and nearfields. Certain applications of nearrings are found in a few chapters. Some of the chapters are independent; however flow is maintained in all the chapters. It also include few chapters of exploratory approach."--Publisher's website.
Smarandache Near-Rings
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1931233667
Category : Mathematics
Languages : en
Pages : 201
Book Description
Generally, in any human field, a Smarandache Structure on a set A means a weak structure W on A such that there exists a proper subset B in A which is embedded with a stronger structure S. These types of structures occur in our everyday life, that's why we study them in this book. Thus, as a particular case: A Near-Ring is a non-empty set N together with two binary operations '+' and '.' such that (N, +) is a group (not necessarily abelian), (N, .) is a semigroup. For all a, b, c in N we have (a + b) . c = a . c + b . c. A Near-Field is a non-empty set P together with two binary operations '+' and '.' such that (P, +) is a group (not necessarily abelian), (P \ {0}, .) is a group. For all a, b, c I P we have (a + b) . c = a . c + b . c. A Smarandache Near-ring is a near-ring N which has a proper subset P in N, where P is a near-field (with respect to the same binary operations on N).
Publisher: Infinite Study
ISBN: 1931233667
Category : Mathematics
Languages : en
Pages : 201
Book Description
Generally, in any human field, a Smarandache Structure on a set A means a weak structure W on A such that there exists a proper subset B in A which is embedded with a stronger structure S. These types of structures occur in our everyday life, that's why we study them in this book. Thus, as a particular case: A Near-Ring is a non-empty set N together with two binary operations '+' and '.' such that (N, +) is a group (not necessarily abelian), (N, .) is a semigroup. For all a, b, c in N we have (a + b) . c = a . c + b . c. A Near-Field is a non-empty set P together with two binary operations '+' and '.' such that (P, +) is a group (not necessarily abelian), (P \ {0}, .) is a group. For all a, b, c I P we have (a + b) . c = a . c + b . c. A Smarandache Near-ring is a near-ring N which has a proper subset P in N, where P is a near-field (with respect to the same binary operations on N).
Near-rings: The Theory and its Applications
Author:
Publisher: Elsevier
ISBN: 0080871348
Category : Mathematics
Languages : en
Pages : 487
Book Description
Near-rings: The Theory and its Applications
Publisher: Elsevier
ISBN: 0080871348
Category : Mathematics
Languages : en
Pages : 487
Book Description
Near-rings: The Theory and its Applications
Nearrings, Nearfields And Related Topics
Author: Kuncham Syam Prasad
Publisher: World Scientific
ISBN: 981320737X
Category : Mathematics
Languages : en
Pages : 324
Book Description
Recent developments in various algebraic structures and the applications of those in different areas play an important role in Science and Technology. One of the best tools to study the non-linear algebraic systems is the theory of Near-rings.The forward note by G
Publisher: World Scientific
ISBN: 981320737X
Category : Mathematics
Languages : en
Pages : 324
Book Description
Recent developments in various algebraic structures and the applications of those in different areas play an important role in Science and Technology. One of the best tools to study the non-linear algebraic systems is the theory of Near-rings.The forward note by G
Abstracts from Seventh International Conference on Near-Rings and Near-Fields
Author:
Publisher:
ISBN:
Category : Near-fields
Languages : en
Pages : 212
Book Description
Publisher:
ISBN:
Category : Near-fields
Languages : en
Pages : 212
Book Description
Near-Rings and Near-Fields
Author: Yuen Fong
Publisher: Springer Science & Business Media
ISBN: 9401009546
Category : Mathematics
Languages : en
Pages : 208
Book Description
Proceedings of the Conference on Near-Rings and Near-Fields, Stellenbosch, South Africa, July 9-16, 1997
Publisher: Springer Science & Business Media
ISBN: 9401009546
Category : Mathematics
Languages : en
Pages : 208
Book Description
Proceedings of the Conference on Near-Rings and Near-Fields, Stellenbosch, South Africa, July 9-16, 1997