%0 Generic %1 Jackson2004b %A Jackson, Nicholas %D 2004 %K algebra homology mine quandles %T Rack and quandle homology %U http://arxiv.org/abs/math/0411055 %X The theory of rack and quandle modules is developed - in particular a tensor product is defined, and shown to satisfy an appropriate adjointness condition. Notions of free rack and quandle modules are introduced, and used to define an enveloping object (the `rack algebra' or `wring') for a given rack or quandle. These constructions are then used to define homology and cohomology theories for racks and quandles which contain all currently-known variants.

@misc{Jackson2004b, abstract = { The theory of rack and quandle modules is developed - in particular a tensor product is defined, and shown to satisfy an appropriate adjointness condition. Notions of free rack and quandle modules are introduced, and used to define an enveloping object (the `rack algebra' or `wring') for a given rack or quandle. These constructions are then used to define homology and cohomology theories for racks and quandles which contain all currently-known variants. }, added-at = {2009-05-22T15:59:37.000+0200}, author = {Jackson, Nicholas}, biburl = {https://www.bibsonomy.org/bibtex/2da57caa2c5c710591c46b95378fe6f60/njj}, description = {Rack and quandle homology}, interhash = {0747c98c4c548d54692fd203421e9f95}, intrahash = {da57caa2c5c710591c46b95378fe6f60}, keywords = {algebra homology mine quandles}, note = {cite arxiv:math/0411055 Comment: 16 pages, LaTeX2e. Requires gtart.cls and diagram.sty (included)}, timestamp = {2009-05-22T15:59:37.000+0200}, title = {Rack and quandle homology}, url = {http://arxiv.org/abs/math/0411055}, year = 2004 }