![Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/5943/TOC-Subject-Sample-2021-Mathematics-Statistics.jpg"})
Abstract
We develop a theory of sets with distributive products (called shelves and multi-shelves) and of their homology. We relate the shelf homology to the rack and quandle homology.
Key Words:
ACKNOWLEDGMENTS
The first author was partially supported by the NSA-AMS 091111 grant, by the Polish Scientific Grant: Nr. N-N201387034, by the GWU REF grant, and by the CCAS/UFF award.
Notes
More generally, r: X → A ⊂ X is a retract if r is the identity on A and r(x☆y) = r(x)☆r(y).
Communicated by A. Smoktunowicz.