Tootfinder

On Hom-Analogues of Heaps and Trusses
Tarik Anowar, Ripan Saha, Sayan Thokdar
https://arxiv.org/abs/2509.01578 https://arxiv.org/pdf/2509.01578

On Hom-Analogues of Heaps and Trusses
This paper develops the foundations of Hom-heaps, Hom-trusses, and Hom-braces as natural Hom-type analogues of their classical counterparts. We establish the correspondence between Hom-heaps and Hom-groups, showing that the retract of a Hom-heap at a point yields a Hom-group precisely when the point is fixed under the twisting map. Three interrelated definitions of Hom-trusses are introduced and their structural properties are investigated, including the construction of modules over Hom-trusses…