#10963: More functorial constructions
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       Reporter:  nthiery                                                |      
   Owner:  stumpc5           
           Type:  enhancement                                            |      
  Status:  needs_review      
       Priority:  major                                                  |     
Milestone:                    
      Component:  categories                                             |    
Resolution:                    
       Keywords:                                                         |   
Work issues:  Rebase wrt. #13589
Report Upstream:  N/A                                                    |     
Reviewers:  Simon King        
        Authors:  Nicolas M. ThiƩry                                      |     
Merged in:                    
   Dependencies:  #11224, #8327, #10193, #12895, #14516, #14722, #13589  |      
Stopgaps:                    
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Comment (by nthiery):

 Replying to [comment:23 SimonKing]:
 > There is now a category of non-associative algebras. But that's
 misleading, because it certainly contains all associative algebras too,
 isn't it? I'd say that "non-associative non-unital (non-commutative) (non-
 finite-dimensional) algebras" should simply be "algebras".
 >
 > In other words, I am against mentioning the ''absence'' of an axiom in
 the category name. Only the ''presence'' of an axiom must play a role.

 Yeah, that's been a recurrent issue. I agree that this is not nice,
 even though it's relatively common practice in maths to label as
 "non-foo things" the larger field of study where one is interested in
 things that are "not necessarily foo". For non associative non unital
 algebras, Florent mentionned yesterday that "magmatic algebras" was
 fairly standard, and I am happy to go with it. Do you have a better
 name for "non unital algebras"? I am not really keen on
 "NotNecessarilyUnitalAlgebras".

 Cheers,

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10963#comment:24>
Sage <http://www.sagemath.org>
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