Please use this identifier to cite or link to this item:
http://hdl.handle.net/10174/37999
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| Title: | Flexible Involutive Meadows |
| Authors: | Dinis, Bruno
Bottazzi, Emanuele |
| Keywords: | Involutive meadows
External Numbers |
| Issue Date: | 2024 |
| Publisher: | College Publications |
| Citation: | E. Bottazzi, B. Dinis, Flexible involutive meadows,
Journal of Applied Logics Volume 11, number 6, November 2024. ISBN 978-1-84890-470-5 |
| Abstract: | We investigate a notion of inverse for neutrices inspired by Van den Berg
and Koudjeti’s decomposition of a neutrix as the product of a real number and
an idempotent neutrix. We end up with an algebraic structure that can be
characterized axiomatically and generalizes involutive meadows. The latter are
algebraic structures where the inverse for multiplication is a total operation. As
it turns out, the structures satisfying the axioms of flexible involutive meadows
are of interest beyond nonstandard analysis. |
| URI: | https://www.collegepublications.co.uk/downloads/ifcolog00068.pdf
http://hdl.handle.net/10174/37999 |
| Type: | article |
| Appears in Collections: | CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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