Journal article
Sets with B -action and linear algebra
Algebra Universalis, Vol.39(1-2), pp.31-43
1998
Abstract
Let B be a Boolean ring. Any unital B-module M has a B-action given by α[a,b]=αa+(1+α)b for all α∈B,a,b,∈M. We show that any set with B-action may be represented as a subset with B-action of a unital B-module. We extend this to algebras with B-action and apply it to if-then-else algebras over Boolean algebras by viewing them as semilattices with B-action.
Details
- Title
- Sets with B -action and linear algebra
- Authors/Creators
- T. Stokes (Author/Creator) - Murdoch University
- Publication Details
- Algebra Universalis, Vol.39(1-2), pp.31-43
- Publisher
- Springer
- Identifiers
- 991005545024207891
- Murdoch Affiliation
- School of Mathematical and Physical Sciences
- Language
- English
- Resource Type
- Journal article
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- Citation topics
- 9 Mathematics
- 9.280 Algebra & Topology
- 9.280.1047 Algebraic Logic
- Web Of Science research areas
- Mathematics
- ESI research areas
- Mathematics