Module ** Ring -- tensor product

Synopsis

Operator: **
Usage:

M ** R

R ** M
Inputs:
- M, a module
- R, a ring
Outputs:
- a module, over R, obtained by forming the tensor product of the module M with R

Description

If the ring of M is a base ring of R, then the matrix presenting the module will be simply promoted (see promote). Otherwise, a ring map from the ring of M to R will be constructed by examining the names of the variables, as described in map(Ring,Ring).

i1 : R = ZZ/101[x,y];

i2 : M = coker vars R

o2 = cokernel | x y |

                            1
o2 : R-module, quotient of R

i3 : M ** R[t]

o3 = cokernel | x y |

                                    1
o3 : R[t]-module, quotient of (R[t])