Definition talk:Module

Hello. Should a distinction be made between left $R$-modules and right $R$-modules? --Jshflynn 18:34, 2 August 2012 (UTC)


 * I haven't seen this distinction made in any of the literature I've encountered. I can imagine what a right module is but apart from noting that every left module is trivially isomorphic to every right module (and therefore ultimately "the same thing") I can't immediately off the top of my head see why one would bother to design it. --prime mover 19:02, 2 August 2012 (UTC)


 * Yeah. It's probably the gentlest way to introduce an antihomomorphism (or more accurately an antiautomorphism) to someone but other than that... --Jshflynn 19:16, 2 August 2012 (UTC)