The algebraic structure of left semi-trusses

The distributive laws of ring theory are fundamental equalities in algebra. However, recently the study Yang-Baxter equation, many algebraic structures with alternative “distributive” were defined. In an effort to these “left distributive” and interaction they entail on structures, Brzezi?ski introduced skew left trusses semi-trusses. particular class semi-trusses is very wide, since it contains all rings, associative algebras lattices . this paper, we investigate subclass that behave like came up equation. We operations what entails their respective semigroups particular, prove finite case additive structure a completely regular semigroup. Secondly, apply our results instance semi-truss called almost semi-brace, by Miccoli its structure. show one can associate semi-brace any semi-brace. Furthermore, set-theoretic solutions equation originating from semi-braces arise correspondence.