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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 | )abbrev domain DPMO DirectProductModule
++ Author: Stephen M. Watt
++ Date Created: 1986
++ Date Last Updated: June 4, 1991
++ Description:
++ This constructor provides a direct product of R-modules
++ with an R-module view.
DirectProductModule(n, R, S) : SIG == CODE where
n : NonNegativeInteger
R : Ring
S : LeftModule(R)
SIG ==> Join(DirectProductCategory(n,S), LeftModule(R))
-- with if S has Algebra(R) then Algebra(R)
-- <above line leads to matchMmCond: unknown form of condition>
CODE ==> DirectProduct(n,S) add
Rep := Vector(S)
r:R * x:$ == [r * x.i for i in 1..n]
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