/usr/share/axiom-20170501/src/algebra/MODULE.spad is in axiom-source 20170501-3.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 | )abbrev category MODULE Module
++ Description:
++ The category of modules over a commutative ring.
++
++ Axioms\br
++ \tab{5}\spad{1*x = x}\br
++ \tab{5}\spad{(a*b)*x = a*(b*x)}\br
++ \tab{5}\spad{(a+b)*x = (a*x)+(b*x)}\br
++ \tab{5}\spad{a*(x+y) = (a*x)+(a*y)}
Module(R) : Category == SIG where
R : CommutativeRing
SIG ==> BiModule(R,R)
add
if not(R is %) then x:%*r:R == r*x
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