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On retracts determinating commutative trusses

R. R. Andruszkiewicz

Institute of Mathematics, University of Białystok, Ciołkowskiego 1M, 15-245 Białystok, Poland

E-mail Address: karolp@math.uwb.edu.pl

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and

K. Pryszczepko

Institute of Mathematics, University of Białystok, Ciołkowskiego 1M, 15-245 Białystok, Poland

E-mail Address: randrusz@math.uwb.edu.pl

Corresponding author.

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https://doi.org/10.1142/S0218196723500248Cited by:0 (Source: Crossref)

Abstract

This paper is devoted to study some relationships of trusses with rings. We characterize abelian groups A such that every truss with retract A has exactly two non-commutative multiplications. We describe commutative rings with nontrivial multiplication having non-commutative extension by the ring of integers.

Communicated by I. Shestakov

Keywords:

AMSC: 16Y99, 08A99, 16D99

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