Download PDFOpen PDF in browserAlgebraic Backgrounds for Data Structures ModelsEasyChair Preprint no. 170212 pages•Date: October 18, 2019AbstractThe main aim of the Algebraic Aggregate Theory is to present uniformly data structures in mathematics and its applications in terms of Universal Algebra. In the given paper are characterized three subalgebras of the Algebraic Aggregate Theory. These subalgebras are the subalgebra of ordered pairs, the successor subalgebra and the algebra of SemiBoolean Systems. Some applications of the obtained results for solving mathematical problems and software development are illustrated. Keyphrases: Algebraic Aggregate Theory, algebraic system, axiom system, Computer Science, data structure, data structures, non associative algebraic system, semi boolean, SemiBoolean systems
