AbelianProductCategory A

indexedp.spad line 1 [edit on github]

• A: Type

This category represents products with coordinatewise additive operations.

0: % if A has AbelianMonoid

from AbelianMonoid

*: (Integer, %) -> % if A has AbelianGroup

from AbelianGroup

*: (NonNegativeInteger, %) -> % if A has AbelianMonoid

from AbelianMonoid

*: (PositiveInteger, %) -> % if A has AbelianMonoid

from AbelianSemiGroup

+: (%, %) -> % if A has AbelianMonoid

from AbelianSemiGroup

-: % -> % if A has AbelianGroup

from AbelianGroup

-: (%, %) -> % if A has AbelianGroup

from AbelianGroup

=: (%, %) -> Boolean if A has AbelianMonoid

from BasicType

~=: (%, %) -> Boolean if A has AbelianMonoid

from BasicType

coerce: % -> OutputForm if A has AbelianMonoid

from CoercibleTo OutputForm

latex: % -> String if A has AbelianMonoid

from SetCategory

opposite?: (%, %) -> Boolean if A has AbelianMonoid

from AbelianMonoid

sample: % if A has AbelianMonoid

from AbelianMonoid

subtractIfCan: (%, %) -> Union(%, failed) if A has CancellationAbelianMonoid

from CancellationAbelianMonoid

zero?: % -> Boolean if A has AbelianMonoid

from AbelianMonoid

AbelianGroup if A has AbelianGroup

AbelianMonoid if A has AbelianMonoid

AbelianSemiGroup if A has AbelianMonoid

BasicType if A has AbelianMonoid

CancellationAbelianMonoid if A has CancellationAbelianMonoid

CoercibleTo OutputForm if A has AbelianMonoid

SetCategory if A has AbelianMonoid