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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/215302
Reiterman‘s theorem for pseudovarieties
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Abstract
In this thesis we will restrict our attention only to classes of finite algebras. Besides the
inherent motivation in studying finite algebras, they appear and are used in many other
fields. For example, finite semigroups and monoids are very useful in the theory of au tomata and rational languages (see [22] and [9]). In particular, the classes considered in this context have some special properties, namely, they are closed under homomorphic images,
under subsemigoups and under finite products. This motivates the general definition of a
pseudovariety, which is a class of finite algebras closed under homomorphic images, under
subalgebras and under finite products.
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Treballs Finals del Màster de Lògica Pura i Aplicada, Facultat de Filosofia, Universitat de Barcelona. Curs: 2023-2024. Tutor: Tommaso Moraschini i Rostislav Horcik
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LIBERAL GRANA, Ion Mikel. Reiterman‘s theorem for pseudovarieties. [consulted: 15 of June of 2026]. Available at: https://hdl.handle.net/2445/215302