BiModule(R, S)ΒΆ

catdef.spad line 148

A BiModule is both a left and right module with respect to potentially different rings.

0: % if S has AbelianMonoid or R has AbelianMonoid
from AbelianMonoid
*: (%, S) -> %
from RightModule S
*: (Integer, %) -> % if S has AbelianGroup or R has AbelianGroup
from AbelianGroup
*: (NonNegativeInteger, %) -> % if S has AbelianMonoid or R has AbelianMonoid
from AbelianMonoid
*: (PositiveInteger, %) -> %
from AbelianSemiGroup
*: (R, %) -> %
from LeftModule R
+: (%, %) -> %
from AbelianSemiGroup
-: % -> % if S has AbelianGroup or R has AbelianGroup
from AbelianGroup
-: (%, %) -> % if S has AbelianGroup or R has AbelianGroup
from AbelianGroup
=: (%, %) -> Boolean
from BasicType
~=: (%, %) -> Boolean
from BasicType
coerce: % -> OutputForm
from CoercibleTo OutputForm
hash: % -> SingleInteger
from SetCategory
hashUpdate!: (HashState, %) -> HashState
from SetCategory
latex: % -> String
from SetCategory
opposite?: (%, %) -> Boolean if S has AbelianMonoid or R has AbelianMonoid
from AbelianMonoid
sample: % if S has AbelianMonoid or R has AbelianMonoid
from AbelianMonoid
subtractIfCan: (%, %) -> Union(%, failed) if S has AbelianGroup or R has AbelianGroup
from CancellationAbelianMonoid
zero?: % -> Boolean if S has AbelianMonoid or R has AbelianMonoid
from AbelianMonoid

AbelianGroup if S has AbelianGroup or R has AbelianGroup

AbelianMonoid if S has AbelianMonoid or R has AbelianMonoid

AbelianSemiGroup

BasicType

CancellationAbelianMonoid if S has AbelianGroup or R has AbelianGroup

CoercibleTo OutputForm

LeftModule R

RightModule S

SetCategory