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<div><a href="index.html" title="">Macaulay2Doc</a> > <a href="_modules.html" title="">modules</a></div>
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<div><h1>modules</h1>
<div>For more operations in homological algebra, see <a href="_chain_spcomplexes.html" title="">chain complexes</a>. For additional common operations and a comprehensive list of all routines in Macaulay2 which return or use modules, see <a href="___Module.html" title="the class of all modules">Module</a>.</div>
<div><h3>Menu</h3>
<h4>construction of modules</h4>
<ul><li><span><a href="_free_spmodules.html" title="">free modules</a></span></li>
<li><span><a href="_matrices_spto_spand_spfrom_spmodules.html" title="including kernel, cokernel and image">matrices to and from modules</a> -- including kernel, cokernel and image</span></li>
<li><span><a href="_submodules_spand_spquotients.html" title="">submodules and quotients</a></span></li>
<li><span><a href="_subquotient_spmodules.html" title="the way Macaulay2 represents modules">subquotient modules</a> -- the way Macaulay2 represents modules</span></li>
</ul>
<h4>homomorphisms (maps) between modules</h4>
<ul><li><span><a href="_module_sphomomorphisms.html" title="">module homomorphisms</a></span></li>
<li><span><a href="_right_spmodules_spor_spleft_spmodules_qu.html" title="">right modules or left modules?</a></span></li>
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<h4>graded modules</h4>
<ul><li><span><a href="___Hilbert_spfunctions_spand_spfree_spresolutions.html" title="including degree and betti numbers">Hilbert functions and free resolutions</a> -- including degree and betti numbers</span></li>
<li><span><a href="_basis.html" title="basis of all or part of a module or ring">basis</a> -- basis of all or part of a module or ring</span></li>
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<h4>multilinear algebra</h4>
<ul><li><span><a href="_exterior_sppower_spof_spa_spmodule.html" title="">exterior power of a module</a></span></li>
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