Sophie

Sophie

distrib > Fedora > 15 > i386 > by-pkgid > 7ebd25ac536d248d499a3ce2acda963a > files > 2291

Macaulay2-1.3.1-8.fc15.i686.rpm

-- -*- M2-comint -*- {* hash: 1023936934 *}

i1 : R = QQ[x,y]/(y^2-x^3);

i2 : M = image matrix{{x,y}}

o2 = image | x y |

                             1
o2 : R-module, submodule of R

i3 : H = Hom(M,M)

o3 = subquotient (| 1 x 0 |, | -y 0  x2 0  |)
                  | 0 0 1 |  | x  0  -y 0  |
                  | 0 y x |  | 0  -y 0  x2 |
                  | 1 0 0 |  | 0  x  0  -y |

                               4
o3 : R-module, subquotient of R

i4 : H1 = prune H

o4 = cokernel | x2 -y |
              | -y x  |

                            2
o4 : R-module, quotient of R

i5 : f1 = homomorphism H_{0}

o5 = {1} | 1 0 |
     {1} | 0 1 |

o5 : Matrix

i6 : f2 = homomorphism H_{1}

o6 = {1} | x y |
     {1} | 0 0 |

o6 : Matrix

i7 : f3 = homomorphism H_{2}

o7 = {1} | 0 x |
     {1} | 1 0 |

o7 : Matrix

i8 :