The Theory of Near-Rings
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, transformat...
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| Main Author: | |
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| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2021.
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| Edition: | 1st ed. 2021. |
| Series: | Lecture Notes in Mathematics ;
2295. |
| Subjects: | |
| Online Access: | Full text (Wentworth users only) |
Table of Contents:
- 1 Stems, Mappings and Near-Rings
- 2 Near-Ring Theory
- 3 Near-Fields
- 4 Near-Rings on Groups with Low Order
- 5 Near-Rings on Some Families of Groups
- 6 Near-Rings Hosted by p-Groups and Related Groups
- 7 Transformation Near-Rings
- 8 Generalisations and Sub-Near-Rings of Transformation Near-Rings
- 9 Phomomorphisms
- 10 Specific Examples
- 11 Modules
- 12 Radicals
- 13 Matrices
- 14 F-Near-Rings
- 15 Product Theory
- 16 Product Theory on Finite Elementary Abelian Groups
- A Isotopy
- B Near-Ring Products on D4
- C Other Structures of Interest
- D Semi-Linear Mappings
- E Zsigmondy's Theorem
- Bibliography
- Afterword
- Index.