Congruence Lattices of Ideals in Categories and (Partial) Semigroups
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Publication:5889062
DOI10.1090/memo/1408OpenAlexW3000680887MaRDI QIDQ5889062
Publication date: 26 April 2023
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.01909
chains of idealssemigroupscongruencescategorieslatticesidealslinear categoriesBrauer categoriesdiagram categoriespartition categoriesTemperley-Lieb categories\( \mathscr{H} \)-congruencesJones categoriespartial braid categoriesprojective linear categoriestransformation categories
General structure theory for semigroups (20M10) Semigroups of transformations, relations, partitions, etc. (20M20) Subalgebras, congruence relations (08A30) Linear transformations, semilinear transformations (15A04) Connections of semigroups with homological algebra and category theory (20M50) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40) Research exposition (monographs, survey articles) pertaining to group theory (20-02)
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Properties of congruences of twisted partition monoids and their lattices ⋮ A groupoid approach to regular \(\ast \)-semigroups ⋮ Unnamed Item
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