Global ETD Search

1	Lattices Rintala, Richard Arne 08 1900 (has links) Because lattice theory is so vast, the primary purpose of this paper will be to present some of the general properties of lattices, exhibit examples of lattices, and discuss the properties of distributive and modular lattices. distributive lattices modular lattices
2	Injectivity in Congruence Distributive Equational Classes Day, Richard Alan 05 1900 (has links) <p> In this thesis, we study the concept of injectivity in equational classes of (universal) algebras and in particular we are concerned with congruence distributive equational classes that have enough injectives. We show that every reasonable equationally complete congruence distributive equational class has enough injectives and we describe them completely. We then examine what equational subclasses of Lattices, Heyting algebras, and pseudo-complemented lattices have enough injectives.</p> / Thesis / Doctor of Philosophy (PhD)
3	A General Duality Theory for Clones Kerkhoff, Sebastian 12 October 2011 (has links) (PDF) In this thesis, we generalize clones (as well as their relational counterparts and the relationship between them) to categories. Based on this framework, we introduce a general duality theory for clones and apply it to obtain new results for clones on finite sets. Klon Dualitätstheorie Kategorientheorie Operation Relation Duale Operation Duale Relation Polymorphismus Invarianz Bewahren Klone über distributiven Verbänden Klone über Algebren Galois-Theorie clone duality theory category theory operation relation dual operation dual relation polymorphism invariance preserving clones over distributive lattices clones over algebras Galois theory ddc:510 rvk:SK 200 Universelle Algebra Dualitätstheorie Kategorientheorie
4	Volné algebraické struktury a jejich využití pro segmentaci digitálního obrazu / Free algebraic structures and their application for segmentation of a digital image Čambalová, Kateřina January 2015 (has links) The thesis covers methods for image segmentation. Fuzzy segmentation is based on the thresholding method. This is generalized to accept multiple criteria. The whole process is mathematically based on the free algebra theory. Free distributive lattice is created from poset of elements based on image properties and the lattice members are represented by terms used by the threshoding. Possible segmentation results compose the equivalence classes distribution. The thesis also contains description of resulting algorithms and methods for their optimization. Also the method of area subtracting is introduced.
5	A General Duality Theory for Clones Kerkhoff, Sebastian 28 June 2011 (has links) In this thesis, we generalize clones (as well as their relational counterparts and the relationship between them) to categories. Based on this framework, we introduce a general duality theory for clones and apply it to obtain new results for clones on finite sets. info:eu-repo/classification/ddc/510 ddc:510

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