\BOOKMARK [0][-]{chapter.1}{Introduction}{}% 1
\BOOKMARK [1][-]{section.1.1}{What is the role of the MatricesForHomalg package in the homalg project?}{chapter.1}% 2
\BOOKMARK [1][-]{section.1.2}{This manual}{chapter.1}% 3
\BOOKMARK [0][-]{chapter.2}{Installation of the MatricesForHomalg Package}{}% 4
\BOOKMARK [0][-]{chapter.3}{Rings}{}% 5
\BOOKMARK [1][-]{section.3.1}{Rings: Category and Representations}{chapter.3}% 6
\BOOKMARK [1][-]{section.3.2}{Rings: Constructors}{chapter.3}% 7
\BOOKMARK [1][-]{section.3.3}{Rings: Properties}{chapter.3}% 8
\BOOKMARK [1][-]{section.3.4}{Rings: Attributes}{chapter.3}% 9
\BOOKMARK [1][-]{section.3.5}{Rings: Operations and Functions}{chapter.3}% 10
\BOOKMARK [0][-]{chapter.4}{Ring Maps}{}% 11
\BOOKMARK [1][-]{section.4.1}{Ring Maps: Category and Representations}{chapter.4}% 12
\BOOKMARK [1][-]{section.4.2}{Ring Maps: Constructors}{chapter.4}% 13
\BOOKMARK [1][-]{section.4.3}{Ring Maps: Properties}{chapter.4}% 14
\BOOKMARK [1][-]{section.4.4}{Ring Maps: Attributes}{chapter.4}% 15
\BOOKMARK [1][-]{section.4.5}{Ring Maps: Operations and Functions}{chapter.4}% 16
\BOOKMARK [0][-]{chapter.5}{Matrices}{}% 17
\BOOKMARK [1][-]{section.5.1}{Matrices: Category and Representations}{chapter.5}% 18
\BOOKMARK [1][-]{section.5.2}{Matrices: Constructors}{chapter.5}% 19
\BOOKMARK [1][-]{section.5.3}{Matrices: Properties}{chapter.5}% 20
\BOOKMARK [1][-]{section.5.4}{Matrices: Attributes}{chapter.5}% 21
\BOOKMARK [1][-]{section.5.5}{Matrices: Operations and Functions}{chapter.5}% 22
\BOOKMARK [0][-]{chapter.6}{Ring Relations}{}% 23
\BOOKMARK [1][-]{section.6.1}{Ring Relations: Categories and Representations}{chapter.6}% 24
\BOOKMARK [1][-]{section.6.2}{Ring Relations: Constructors}{chapter.6}% 25
\BOOKMARK [1][-]{section.6.3}{Ring Relations: Properties}{chapter.6}% 26
\BOOKMARK [1][-]{section.6.4}{Ring Relations: Attributes}{chapter.6}% 27
\BOOKMARK [1][-]{section.6.5}{Ring Relations: Operations and Functions}{chapter.6}% 28
\BOOKMARK [0][-]{appendix.A}{The Basic Matrix Operations}{}% 29
\BOOKMARK [1][-]{section.A.1}{Main}{appendix.A}% 30
\BOOKMARK [1][-]{section.A.2}{Effective}{appendix.A}% 31
\BOOKMARK [1][-]{section.A.3}{Relative}{appendix.A}% 32
\BOOKMARK [1][-]{section.A.4}{Reduced}{appendix.A}% 33
\BOOKMARK [0][-]{appendix.B}{The Matrix Tool Operations}{}% 34
\BOOKMARK [1][-]{section.B.1}{The Tool Operations without a Fallback Method}{appendix.B}% 35
\BOOKMARK [1][-]{section.B.2}{The Tool Operations with a Fallback Method}{appendix.B}% 36
\BOOKMARK [0][-]{appendix.C}{Logic Subpackages}{}% 37
\BOOKMARK [1][-]{section.C.1}{LIRNG: Logical Implications for Rings}{appendix.C}% 38
\BOOKMARK [1][-]{section.C.2}{LIMAP: Logical Implications for Ring Maps}{appendix.C}% 39
\BOOKMARK [1][-]{section.C.3}{LIMAT: Logical Implications for Matrices}{appendix.C}% 40
\BOOKMARK [1][-]{section.C.4}{COLEM: Clever Operations for Lazy Evaluated Matrices}{appendix.C}% 41
\BOOKMARK [0][-]{appendix.D}{The subpackage ResidueClassRingForHomalg as a sample ring package}{}% 42
\BOOKMARK [1][-]{section.D.1}{The Mandatory Basic Operations}{appendix.D}% 43
\BOOKMARK [1][-]{section.D.2}{The Mandatory Tool Operations}{appendix.D}% 44
\BOOKMARK [1][-]{section.D.3}{Some of the Recommended Tool Operations}{appendix.D}% 45
\BOOKMARK [0][-]{appendix.E}{Debugging MatricesForHomalg}{}% 46
\BOOKMARK [1][-]{section.E.1}{Increase the assertion level}{appendix.E}% 47
\BOOKMARK [1][-]{section.E.2}{Using homalgMode}{appendix.E}% 48
\BOOKMARK [0][-]{appendix.F}{Overview of the MatricesForHomalg Package Source Code}{}% 49
\BOOKMARK [1][-]{section.F.1}{Rings, Ring Maps, Matrices, Ring Relations}{appendix.F}% 50
\BOOKMARK [1][-]{section.F.2}{The Low Level Algorithms}{appendix.F}% 51
\BOOKMARK [1][-]{section.F.3}{Logical Implications for MatricesForHomalg Objects}{appendix.F}% 52
\BOOKMARK [1][-]{section.F.4}{The subpackage ResidueClassRingForHomalg}{appendix.F}% 53
\BOOKMARK [1][-]{section.F.5}{The homalgTable for GAP4 built-in rings}{appendix.F}% 54
\BOOKMARK [0][-]{appendix*.3}{References}{}% 55
\BOOKMARK [0][-]{section*.4}{Index}{}% 56
