2 citations · 2 across the 1 of their papers we have counts for
3 papers
math.RA2020
From pre-trusses to skew braces
Tomasz Brzeziński, Stefano Mereta, Bernard Rybołowicz
The notion of a pre-truss, that is, a set that is both a heap and a semigroup is introduced. Pre-trusses themselves as well as pre-trusses in which one-sided or two-sided distribut…
math.RA2019★ 2 cited
On congruence classes and extensions of rings with applications to braces
Tomasz Brzeziński, Bernard Rybołowicz
Two observations in support of the thesis that trusses are inherent in ring theory are made. First, it is shown that every equivalence class of a congruence relation on a ring or,…
math.RA2019
Modules over trusses vs modules over rings: direct sums and free modules
Tomasz Brzeziński, Bernard Rybołowicz
Categorical constructions on heaps and modules over trusses are considered and contrasted with the corresponding constructions on groups and rings. These include explicit descripti…