# Identity bases for finite cyclic semigroups

**Authors:** Mikhail V. Volkov

arXiv: 2508.21799 · 2026-01-14

## TL;DR

This paper presents explicit sets of identities that completely characterize finite cyclic semigroups, aiding in their algebraic understanding and classification.

## Contribution

It introduces explicit identity bases for finite cyclic semigroups, a novel contribution to their algebraic theory.

## Key findings

- Explicit identity bases for finite cyclic semigroups provided
- Facilitates algebraic classification of these semigroups
- Advances understanding of their structural properties

## Abstract

We provide explicit identity bases for finite cyclic semigroups.

## Full text

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## Figures

1 figure with captions in the complete paper: https://tomesphere.com/paper/2508.21799/full.md

## References

4 references — full list in the complete paper: https://tomesphere.com/paper/2508.21799/full.md

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Source: https://tomesphere.com/paper/2508.21799