Arithmetic and k-maximality of the cyclic free magma
Author
Publication date
2019ISSN
0002-5240
Abstract
We survey free magmas and we explore the structure of their
submagmas. By equipping the cyclic free magma with a second distributive operation we obtain a ringoid-like structure with some primitive arithmetical properties. A submagma is k-maximal when there are
only k − 1 submagmas between it and the free magma itself. These two
tools, arithmetic and maximality, allow us to study the lattice of the
submagmas of a free magma.
Document Type
Article
Document version
Published version
Language
English
Subject (CDU)
512 - Algebra
Keywords
Pages
26
Publisher
Springer
Collection
80; 35
Is part of
Algebra universalis
Note
This research was supported the recognition 2017SGR-856 (MACDA) from AGAUR (Generalitat de Catalunya).
This item appears in the following Collection(s)
- Ciències Bàsiques [104]
Rights
Copyright © 2019, Springer Nature Switzerland AG
