Fundamental notions of set theory -- Fundamental notions -- General relations between posets and their chains and antichains -- Linearly ordered sets -- Products of orders -- Universally ordered sets -- Applications of the splitting method -- The dimension of posets -- Well-founded posets, pwo-sets and trees -- On the order structure of power sets -- Comparison of order types -- Comparability g…
Ordered sets; residuated mappings -- Lattices; lattice morphisms -- Regular equivalences -- Modular lattices -- Distributive lattices -- Complementation; boolean algebras -- Pseudocomplementation; Stone and Heyting algebras -- Congruences; subdirectly irreducible algebras -- Ordered groups -- Archimedean ordered structures -- Ordered semigroups; residuated semigroups -- Epimorphic group images;…
Unary algebras and dualisability -- Binary homomorphisms and natural dualities -- The complexity of dualisability: three-element unary algebras -- Full and strong dualisability: three-element unary algebras -- Dualisability and algebraic constructions -- Dualisability and clones -- Inherent dualisability.Natural duality theory is one of the major growth areas within general algebra. This text p…
Genesis and Theory of Computer Viruses -- The Formalization Foundations: from Turing to von Neumann (1936 – 1967) -- F. Cohen and L. Adleman’s Formalization (1984 – 1989) -- Taxonomy, Techniques and Tools -- Fighting Against Viruses -- Learning Computer Viruses by Programming -- Computer Viruses in Interpreted Programming Language -- Companion Viruses -- Worms -- Computer Viruses and Appl…
Morphological Operators -- Binary Decision Diagrams as a New Paradigm for Morphological Machines -- Image Filtering Using Morphological Amoebas -- Numerical Residues -- Efficient Path Openings and Closings -- Structuring Elements Following the Optical Flow -- Recursive Interpolation Technique for Binary Images Based on Morphological Median Sets -- Connected Filters and Reconstruction -- Second-…