property of congruence

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• Congruence lattice problem — In mathematics, the congruence lattice problem asks whether every algebraic distributive lattice is isomorphic to the congruence lattice of some other lattice. The problem was posed by Robert P. Dilworth, and for many years it was one of the most …   Wikipedia

• congruence — [käŋ′gro͞o əns, kän′gro͞o əns; kən gro͞o′əns] n. [ME < L congruentia: see CONGRUENT] 1. the state or quality of being in agreement; correspondence; harmony 2. Geom. the property of a plane or solid figure whereby it coincides with another… …   English World dictionary

• congruence — /ˈkɒŋgruəns/ (say konggroohuhns) noun 1. the fact or condition of agreeing; agreement. 2. Geometry the state of being congruent (def. 2). 3. Mathematics the property of being congruent (def. 3). Also, congruency …  

• Mirimanoff's congruence — In number theory, a branch of mathematics, a Mirimanoff s congruence is one of a collection of expressions in modular arithmetic which, if they hold, entail the truth of Fermat s Last Theorem. Since the theorem has now been proven, these are now… …   Wikipedia

• Distributive homomorphism — A congruence θ of a join semilattice S is monomial, if the θ equivalence class of any element of S has a largest element. We say that θ is distributive, if it is a join, in the congruence lattice Con S of S, of monomial join congruences of S. The …   Wikipedia

• Rindler coordinates — In relativistic physics, the Rindler coordinate chart is an important and useful coordinate chart representing part of flat spacetime, also called the Minkowski vacuum. The Rindler chart was introduced by Wolfgang Rindler. The Rindler coordinate… …   Wikipedia

• Semigroup — This article is about the algebraic structure. For applications to differential equations, see C0 semigroup. In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative binary operation. A semigroup… …   Wikipedia

• Cartan connection — In the mathematical field of differential geometry, a Cartan connection is a flexible generalization of the notion of an affine connection. It may also be regarded as a specialization of the general concept of a principal connection, in which the …   Wikipedia

• Modular arithmetic — In mathematics, modular arithmetic (sometimes called clock arithmetic) is a system of arithmetic for integers, where numbers wrap around after they reach a certain value the modulus. The Swiss mathematician Leonhard Euler pioneered the modern… …   Wikipedia

• Euclidean geometry — A Greek mathematician performing a geometric construction with a compass, from The School of Athens by Raphael. Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described in his… …   Wikipedia

• Equivalence relation — In mathematics, an equivalence relation is a binary relation between two elements of a set which groups them together as being equivalent in some way. Let a , b , and c be arbitrary elements of some set X . Then a b or a ≡ b denotes that a is… …   Wikipedia