Calculation of Homology of Quandles, Racks, Biquandles and Biracks

all_combinations | Calculating all possible permutations |

boundary_matrix | This function calculates a boundary matrix. |

boundary_matrix_degenerate | Calculation of boundary matrix for degenerate Homology. |

boundary_names | Calculation of boundary elements for quandle and rack... |

boundary_names_degenerate | Calculation of degenerate boundary elements for boundary... |

check_f | Check if the function is bijective |

check_more_push | Helper function for Smith Normal Form calculation. |

check_permutations | Check if Switch is bijective. |

check_YB | Check Young Baxter Equation |

degenerate_homology | Calculates the degenerate Homology for a rack/birack. |

down_action | The down action for a birack or biquandle. |

find_S_result | Calculate the Switch |

findX | Calculate the left row action matrix to turn a matrix into... |

GaussianElimination | Calculation of Gaussian Form of a matrix. |

homology | Calculation of quandle and rack homology groups of a rack /... |

matrix_rank | Calculates the rank of a matrix. |

output_results | Function that prints the calculated homology group to the... |

push_down | Helper Function for Smith Normal Form calculation. |

quhomology-package | Calculation of Homology groups of a rack/birack |

row_space | Row Space of a Matrix. |

rref | Reduced Row Echelon Form of a matrix |

smith | Smith Normal Form of a matrix. |

S_test | Testing of possible quandle/biquandle actions |

up_action | The up action for a birack or biquandle. |

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