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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… Click to show full 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.
Keywords:
maximality cyclic;
arithmetic maximality;
magma;
free magma;
cyclic free
Journal Title: Algebra universalis
Year Published: 2019
Link to full text (if available)
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Journal Title: Algebra universalis
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!