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| Title Details: | |
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Rings: Basic Properties and Examples |
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| Authors: |
Beligiannis, Apostolos |
| Reviewer: |
Marmaridis, Nikolaos Theodosios |
| Description: | |
| Abstract: |
The concept of a ring is introduced. Elementary properties that follow from the ring axioms are proved. Fundamental properties of elements in special types of rings are analyzed (units, zero divisors, etc.), and the main types of rings are introduced (fields, division rings, integral domains, polynomial rings, etc.). A wide variety of examples and ring constructions is provided. The notion of ring isomorphism is also introduced.
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| Linguistic Editors: |
Konachos, Dimitrios |
| Type: |
Chapter |
| Creation Date: | 2015 |
| Item Details: | |
| License: |
Attribution - NonCommercial - ShareAlike 4.0 International (CC BY-NC-SA 4.0) |
| Handle | http://hdl.handle.net/11419/4855 |
| Bibliographic Reference: | Beligiannis, A. (2015). Rings: Basic Properties and Examples [Chapter]. In Beligiannis, A. 2015. An Introduction to Basic Algebra [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/4855 |
| Language: |
Greek |
| Is Part of: |
An Introduction to Basic Algebra |
| Publication Origin: |
Kallipos, Open Academic Editions |