Logo image
Compositions ofn -homomorphisms
Preprint   Open access

Compositions ofn -homomorphisms

Darij Grinberg
ArXiv.org
15 Apr 2026
url
https://doi.org/10.48550/arxiv.2604.13619View
Preprint (Author's original) Open arXiv.org - Non-exclusive license to distribute

Abstract

Mathematics - Combinatorics Mathematics - Rings and Algebras
We studyn -homomorphisms in the sense of Khudaverdian–Voronov, but generalized to maps from arbitrary rings to arbitrary commutative rings. We show that the sum of ann -homomorphism and anm -homomorphism is an\left( n+m\right) -homomorphism, and that the composition of ann -homomorphism and anm -homomorphism is annm -homomorphism. The proofs are entirely combinatorial.

Metrics

1 Record Views

Details

Logo image