Quotient structures, homomorphisms, and partial wreath products in reality-based algebras
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DOI: 10.1016/j.jalgebra.2019.03.028
Abstract: Abstract Homomorphisms and quotient structures of reality-based algebras are presented and described; related central idempotents and quotient sets are characterized; and the extent to which a homomorphism preserves the given anti-automorphisms of the algebras is… read more here.
Keywords: based algebras; partial wreath; quotient structures; reality based ... See more keywords
Reality-based algebras with a two-dimensional representation
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DOI: 10.1016/j.laa.2019.12.034
Abstract: Abstract It is shown that a two-dimensional irreducible representation of a reality-based algebra with a standard degree map is determined by the other irreducible representations of the algebra and the action of its given anti-automorphism… read more here.
Keywords: reality based; based algebras; representation reality; two dimensional ... See more keywords
On the Equational Theory of Lattice-Based Algebras for Layered Graphs
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DOI: 10.3390/axioms14040257
Abstract: Layered algebras are introduced and used to express layered graphs. Layered graphs are considered to be a highly effective abstract tool to manage the difficulty in conceptualizing and reasoning regarding complex systems related to coding… read more here.
Keywords: theory lattice; equational theory; based algebras; layered graphs ... See more keywords