Journal article 804 views
Trusses: Paragons, ideals and modules
Journal of Pure and Applied Algebra, Volume: 224, Issue: 6, Start page: 106258
Swansea University Author:
Tomasz Brzezinski
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DOI (Published version): 10.1016/j.jpaa.2019.106258
Abstract
Trusses, defined as sets with a suitable ternary and a binary operations, connected by the distributive laws, are studied from a ring and module theory point of view. The notions of ideals and paragons in trusses are introduced and several constructions of trusses are presented. A full classificatio...
| Published in: | Journal of Pure and Applied Algebra |
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| ISSN: | 0022-4049 |
| Published: |
Elsevier BV
2020
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa52083 |
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| Abstract: |
Trusses, defined as sets with a suitable ternary and a binary operations, connected by the distributive laws, are studied from a ring and module theory point of view. The notions of ideals and paragons in trusses are introduced and several constructions of trusses are presented. A full classification of truss structures on the Abelian group of integers is given. Modules over trusses are defined and their basic properties and examples are analysed. In particular, the sufficient and necessary condition for a sub-heap of a module to induce a module structure on the quotient heap is established. |
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| Keywords: |
Truss, Heap, Ideal, Paragon, Module |
| College: |
Faculty of Science and Engineering |
| Issue: |
6 |
| Start Page: |
106258 |