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| author | dos-reis <gdr@axiomatics.org> | 2010-06-17 12:05:08 +0000 |
|---|---|---|
| committer | dos-reis <gdr@axiomatics.org> | 2010-06-17 12:05:08 +0000 |
| commit | cffd2746785e6b40b8d4f2b44ab0b4a936cd6f24 (patch) | |
| tree | f8e07d4aec2074aa3656dc0aa70a13e9923778ef /src/algebra/vector.spad.pamphlet | |
| parent | 10470f0842cd1881d10778985b272f7c07aae524 (diff) | |
| download | open-axiom-cffd2746785e6b40b8d4f2b44ab0b4a936cd6f24.tar.gz | |
* algebra/vector.spad.pamphlet (DirectProductCategory): Extend
AbelianMonoid if element type satisfies AbelianMonoid.
Extend AbelianGroup if element type satisfies AbelianGroup.
Extend Module R if R satisfies CommutativeRing; remove bogus
Algebra R and CommutativeRing extension.
Diffstat (limited to 'src/algebra/vector.spad.pamphlet')
| -rw-r--r-- | src/algebra/vector.spad.pamphlet | 8 |
1 files changed, 4 insertions, 4 deletions
diff --git a/src/algebra/vector.spad.pamphlet b/src/algebra/vector.spad.pamphlet index c3816f0c..08ec4b60 100644 --- a/src/algebra/vector.spad.pamphlet +++ b/src/algebra/vector.spad.pamphlet @@ -224,7 +224,7 @@ VectorFunctions2(A, B): Exports == Implementation where ++ Author: ++ Date Created: -++ Date Last Updated: +++ Date Last Updated: June 17, 2010 ++ Basic Functions: ++ Related Constructors: DirectProduct ++ Also See: VectorCategory @@ -255,11 +255,11 @@ DirectProductCategory(dim:NonNegativeInteger, R:Type): Category == ++ dot(x,y) computes the inner product of the vectors x and y. if R has AbelianSemiGroup then AbelianSemiGroup if R has CancellationAbelianMonoid then CancellationAbelianMonoid + if R has AbelianMonoid then AbelianMonoid + if R has AbelianGroup then AbelianGroup if R has Monoid then LinearSet R if R has Finite then Finite - if R has CommutativeRing then - Algebra R - CommutativeRing + if R has CommutativeRing then Module R if R has unitsKnown then unitsKnown if R has OrderedSet then OrderedSet if R has OrderedAbelianMonoidSup then OrderedAbelianMonoidSup |