Near-rings and near-fields : proceedings of a conference held at the University of Tu bingen, F.R.G., 4-10 August, 1985 /

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 ``Ps...

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Bibliographic Details
Corporate Authors: Elsevier Science & Technology; Conference on Near-rings and Near-fields Mathematical Institute of the University of Tu bingen
Group Author: Betsch, Gerhard, 1934
Published: North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
Publisher Address: Amsterdam ; New York : New York, N.Y., U.S.A. :
Publication Dates: 1987.
Literature type: eBook
Language: English
Series: North-Holland mathematics studies ; 137
Subjects:
Online Access: http://www.sciencedirect.com/science/bookseries/03040208/137
Summary: 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.
Item Description: Papers from an international Conference on Near-rings and Near-fields, held at the Mathematical Institute of the University of Tu bingen, Aug. 4-10, 1985.
Carrier Form: 1 online resource (xiv, 298 pages).
Bibliography: Includes bibliographical references.
ISBN: 9780444701916
0444701915
9780080872483
0080872484
Index Number: QA251
CLC: O153.3-532
Contents: Front Cover; Near-Rings and Near-Fields; Copyright Page; Preface; List of Registered Participants; Introduction; Contents; PART I: INVITED LECTURES; Chapter 1. Non-commutative geometry, near-rings and near-fields; Chapter 2. Pseudo-finite near-fields; PART II: COMMUNICATIONS; Chapter 3. On derivations in near-rings; Chapter 4. Embedding of a near-ring into a near-ring with identity; Chapter 5. The near-ring of some one-dimensional noncommutative formal group laws; Chapter 6. On the existence of nil ideals in distributive near-rings; Chapter 7. Distributive near-rings with minimal square.