Titlebook: Galois Connections and Applications; K. Denecke,M. Erné,S. L. Wismath Book 2004 Springer Science+Business Media Dordrecht 2004 Algebra.Ari

膠狀

Mobile

gnarled

A Survey of Clones Closed Under Conjugation,mutation conjugates a clone onto itself. The Galois-closed sets on the clone side are the lattices . . of all clones that are closed under conjugation by all members of some permutation group .. In this paper we discuss the coarse structure of the lattice . . when . is finite and . is a 2-homogeneou

爆米花

Galois Connections for Partial Algebras,tal algebras. On one side there are many different subsets of the set of first order formulas, which one wants to use as a concept of . in some special context, and where one is interested in the closure operators induced by restricting the . to this special subset. On the other hand the polarity in

菊花

Complexity of Terms and the Galois Connection Id-Mod,quires exactly that both . and t have complexity ≥ 1. We generalize this definition to any integer . ≥1 by saying that a non-trivial identity . is .-normal when both . and . have complexity ≥ .. A variety will be called .-normal when all its non-trivial identities are .-normal. Using results from th

曲解

OMIT

arousal

,Dyadic Mathematics — Abstractions from Logical Thought,essential. Because human logical reasoning is based on . as the basic units of thought, the dyadic mathematization of concepts performed in Formal Concept Analysis is such an abstraction. The dyadic nature of concepts is grasped through the notion of a formal context with its object-attribute-relati

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起波瀾

K. Denecke,M. Erné,S. L. WismathThe only book to describe the use of Galois connections in a wide field of branches of mathematics and outside of mathematics