Is there any example showing that the composition of morphisms is not necessarily associative?
Example of non-associative composition of morphisms
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abstract-algebra
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7Composition of morphisms is always associative. – 2012-11-14
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0In fact, it is an *axiom* of category that composition of morphisms is associative. – 2012-11-14
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3If you would like to know examples of "non-associative categories", specializing to one object these are sets with a non-associative binary operation and a unit element, which include non-associative algebras. There is a list on wikipedia: http://en.wikipedia.org/wiki/Non-associative_algebra – 2012-11-15
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0If you meant morphisms in the sense of category theory, then ([tag:category-theory]) tag would be good for this question. – 2013-07-23