most recent 30 from http://mathoverflow.net 2013-06-19T23:17:22Z http://mathoverflow.net/feeds/user/15913 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/68340/what-is-an-algebraic-object no-1 2011-06-21T04:37:16Z 2011-06-21T04:37:16Z

<p>The question is in the title. In order to give a bit more backround about the question, one knows that their are several different notions of an algebraic object. One approach is that of Lavere and his algebraic theories. One may also talk about monads. Another approach is an operadic/prop type approach. Yet another way to define an algebraic object is to use sketches of various types. Their may be other approaches that have not been enumerated. My understanding is that all of the things we would like to consider algebraic are not covered by one of these approaches. So this is where the question in the title comes from. Is their a context where all of the things we would like to consider algebraic fit into the aforementioned context? (of course I may be mistaken) </p>

http://mathoverflow.net/questions/68340/what-is-an-algebraic-object no-1 2011-06-21T04:54:10Z 2011-06-21T04:54:10Z

I imagined the possibility that I might be trying to put too many concepts in a single context. Still it is a bit unsatisfying. For example Hopf algebras and certain generalizations of Drinfeld are considered to be &quot;algebraic&quot; (I'm not sure they form a universal algebra??).