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Trusses: Paragons, ideals and modules / Tomasz Brzezinski

Journal of Pure and Applied Algebra, Start page: 106258

Swansea University Author: Tomasz, Brzezinski

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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 classificatio...

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Published in: Journal of Pure and Applied Algebra
ISSN: 0022-4049
Published: Elsevier BV
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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.
Keywords: Truss, Heap, Ideal, Paragon, Module
Start Page: 106258