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Representations of inverse semigroups in complete atomistic inverse meet-semigroups

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 نشر من قبل Desmond FitzGerald
 تاريخ النشر 2019
  مجال البحث
والبحث باللغة English
 تأليف D. G. FitzGerald




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As an appropriate generalisation of the features of the classical (Schein) theory of representations of inverse semigroups in $mathscr{I}_{X}$, a theory of representations of inverse semigroups by homomorphisms into complete atomistic inverse algebras is developed. This class of inverse algebras includes partial automorphism monoids of entities such as graphs, vector spaces and modules. A workable theory of decompositions is reached; however complete distributivity is required for results approaching those of the classical case.



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