arXiv Open Access 2024

Arithmetic and $k$-maximality of the cyclic free magma

Carles Cardó

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Abstrak

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.

Topik & Kata Kunci

math.RA

Penulis (1)

Carles Cardó

Format Sitasi

APA MLA BibTeX

Cardó, C. (2024). Arithmetic and $k$-maximality of the cyclic free magma. https://arxiv.org/abs/2407.17692

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓