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Incidence algebras #1221

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merged 10 commits into from
Nov 14, 2024
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Commits on Nov 11, 2024

  1. beginning incidence algebra construction. to-do:

    define type of inhabited intervals of 'P',
    then the 'R'-module of functions from inhabited intervals to 'R',
    then the convolution operation.
    djspacewhale committed Nov 11, 2024
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Commits on Nov 13, 2024

  1. completed definition of the family of set-maps

    from inhabited intervals of 'P' to 'R'. further work
    stalled pending elementary development of module theory;
    could be done by hand, and I'll define the convolution
    before pushing upstream in fact
    djspacewhale committed Nov 13, 2024
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  2. never mind re: convolution, some infrastructure in

    the commutative algebras library is needed. to-do...
    djspacewhale committed Nov 13, 2024
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Commits on Nov 14, 2024

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  3. added hyperlink to poset intervals, renamed suggested

    types, moved code for inhabited intervals to intervals file
    djspacewhale committed Nov 14, 2024
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  4. Update src/order-theory/incidence-algebras.lagda.md

    fixed typo - 'undderlying' to 'underlying'
    
    Co-authored-by: Egbert Rijke <[email protected]>
    djspacewhale and EgbertRijke authored Nov 14, 2024
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  5. Update src/order-theory/interval-subposets.lagda.md

    moved inhabited-interval definition to new module where (x,y) are not postulated
    
    Co-authored-by: Egbert Rijke <[email protected]>
    djspacewhale and EgbertRijke authored Nov 14, 2024
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  6. Update src/order-theory/interval-subposets.lagda.md

    fixed typo - ```dule _``` to ```module _```
    
    Co-authored-by: Egbert Rijke <[email protected]>
    djspacewhale and EgbertRijke authored Nov 14, 2024
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