GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
<?xml version="1.0" encoding="UTF-8"?>12<!--34appendix.xml Modules package documentation56Copyright (C) 2007-2009, Mohamed Barakat, RWTH-Aachen78-->910<Appendix Label="FileOverview">11<Heading>Overview of the &Modules; Package Source Code</Heading>1213<Section Label="ModuleInternals">1415<Heading>Relations and Generators</Heading>1617<Table Align="l|l">18<Caption><E>The &homalg; package files</E></Caption>1920<Row><Item>Filename <F>.gd</F>/<F>.gi</F></Item><Item>Content</Item></Row>2122<HorLine/>2324<Row>25<Item><F>HomalgRingMap</F></Item>26<Item>operations and methods ring maps</Item>27</Row>2829<Row><Item></Item><Item></Item></Row>3031<Row>32<Item><F>HomalgRelations</F></Item>33<Item>a set of relations</Item>34</Row>3536<Row>37<Item><F>SetsOfRelations</F></Item>38<Item>several sets of relations</Item>39</Row>4041<Row>42<Item><F>HomalgGenerators</F></Item>43<Item>a set of generators</Item>44</Row>4546<Row>47<Item><F>SetsOfGenerators</F></Item>48<Item>several sets of generators</Item>49</Row>5051</Table>5253</Section>5455<Section Label="The Basic Objects">5657<Heading>The Basic Objects</Heading>5859<Table Align="l|l">60<Caption><E>The &homalg; package files (continued)</E></Caption>6162<Row><Item>Filename <F>.gd</F>/<F>.gi</F></Item><Item>Content</Item></Row>6364<HorLine/>6566<Row>67<Item><F>HomalgModule</F></Item>68<Item>modules allowing several presentations</Item>69</Row>7071<Row>72<Item></Item>73<Item>linked with transition matrices</Item>74</Row>7576<Row><Item></Item><Item></Item></Row>7778<Row>79<Item><F>HomalgSubmodule</F></Item>80<Item>submodules allowing several sets of generators</Item>81</Row>8283<Row><Item></Item><Item></Item></Row>8485<Row>86<Item><F>HomalgMap</F></Item>87<Item>maps allowing several presentations</Item>88</Row>8990<Row>91<Item></Item>92<Item>of their source and target</Item>93</Row>9495<Row><Item></Item><Item></Item></Row>9697<Row>98<Item><F>HomalgFiltration</F></Item>99<Item>filtration of a module</Item>100</Row>101102<Row><Item></Item><Item></Item></Row>103104<Row>105<Item><F>HomalgComplex</F></Item>106<Item>(co)complexes of modules or of (co)complexes</Item>107</Row>108109<Row><Item></Item><Item></Item></Row>110111<Row>112<Item><F>HomalgChainMap</F></Item>113<Item>chain maps of (co)complexes</Item>114</Row>115116<Row>117<Item></Item>118<Item>consisting of maps or chain maps</Item>119</Row>120121<Row><Item></Item><Item></Item></Row>122123<Row>124<Item><F>HomalgBicomplex</F></Item>125<Item>bicomplexes of modules or of (co)complexes</Item>126</Row>127128<Row><Item></Item><Item></Item></Row>129130<Row>131<Item><F>HomalgBigradedObject</F></Item>132<Item>(differential) bigraded modules</Item>133</Row>134135<Row><Item></Item><Item></Item></Row>136137<Row>138<Item><F>HomalgSpectralSequence</F></Item>139<Item>homological and cohomological</Item>140</Row>141142<Row>143<Item></Item>144<Item>spectral sequences</Item>145</Row>146147<Row><Item></Item><Item></Item></Row>148149<Row>150<Item><F>HomalgDiagram</F></Item>151<Item>Betti diagrams</Item>152</Row>153154</Table>155156</Section>157158<Section Label="High Level Homological Algorithms">159160<Heading>The High Level Homological Algorithms</Heading>161162<Table Align="l|l">163<Caption><E>The &homalg; package files (continued)</E></Caption>164<Row><Item>Filename <F>.gd</F>/<F>.gi</F></Item><Item>Content</Item></Row>165166<HorLine/>167168<Row>169<Item><F>Modules</F></Item>170<Item>subfactors, resolutions,</Item>171</Row>172173<Row>174<Item></Item>175<Item>parameterizations, intersections, annihilators</Item>176</Row>177178<Row>179<Item><F>ToolFunctors</F></Item>180<Item>zero map, composition, addition, substraction,</Item>181</Row>182183<Row>184<Item></Item>185<Item>stacking, augmentation, and post dividing maps</Item>186</Row>187188<Row>189<Item><F>BasicFunctors</F></Item>190<Item>cokernel, image, kernel, tensor product, Hom,</Item>191</Row>192193<Row>194<Item></Item>195<Item>Ext, Tor, RHom, LTensorProduct, HomHom, LHomHom,</Item>196</Row>197198<Row>199<Item></Item>200<Item>BaseChange (preliminary)</Item>201</Row>202203<Row>204<Item><F>OtherFunctors</F></Item>205<Item>direct sum</Item>206</Row>207208</Table>209210</Section>211212<Section Label="Logical Implications">213214<Heading>Logical Implications for &homalg; Objects</Heading>215216<Table Align="l|l">217<Caption><E>The &homalg; package files (continued)</E></Caption>218<Row><Item>Filename <F>.gd</F>/<F>.gi</F></Item><Item>Content</Item></Row>219220<HorLine/>221222<Row>223<Item><F>LIMOD</F></Item>224<Item>logical implications for modules</Item>225</Row>226227<Row><Item></Item><Item></Item></Row>228229<Row>230<Item><F>LIHOM</F></Item>231<Item>logical implications for module homomorphisms</Item>232</Row>233234</Table>235236</Section>237238</Appendix>239240241