# algebraic lattice

- мат. алгебраическая решетка

*Большой англо-русский и русско-английский словарь.
2001.*

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**Lattice (order)**— See also: Lattice (group) The name lattice is suggested by the form of the Hasse diagram depicting it. Shown here is the lattice of partitions of a four element set {1,2,3,4}, ordered by the relation is a refinement of . In mathematics, a… … Wikipedia**Algebraic combinatorics**— is an area of mathematics that employs methods of abstract algebra, notably group theory and representation theory, in various combinatorial contexts and, conversely, applies combinatorial techniques to problems in algebra. It is one of the… … Wikipedia**Algebraic structure**— In algebra, a branch of pure mathematics, an algebraic structure consists of one or more sets closed under one or more operations, satisfying some axioms. Abstract algebra is primarily the study of algebraic structures and their properties. The… … Wikipedia**Lattice (discrete subgroup)**— In Lie theory and related areas of mathematics, a lattice in a locally compact topological group is a discrete subgroup with the property that the quotient space has finite invariant measure. In the special case of subgroups of R n , this amounts … Wikipedia**Algebraic torus**— In mathematics, an algebraic torus is a type of commutative affine algebraic group. These groups were named by analogy with the theory of tori in Lie group theory (see maximal torus). The theory of tori is in some sense opposite to that of… … Wikipedia**Algebraic curve**— In algebraic geometry, an algebraic curve is an algebraic variety of dimension one. The theory of these curves in general was quite fully developed in the nineteenth century, after many particular examples had been considered, starting with… … Wikipedia**Algebraic number theory**— In mathematics, algebraic number theory is a major branch of number theory which studies the algebraic structures related to algebraic integers. This is generally accomplished by considering a ring of algebraic integers O in an algebraic number… … Wikipedia**Outline of algebraic structures**— In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… … Wikipedia**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**List of algebraic structures**— In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… … Wikipedia**Residuated lattice**— In abstract algebra, a residuated lattice is an algebraic structure that is simultaneously a lattice x le; y and a monoid x • y which admits operations x z and z / y loosely analogous to division or implication when x • y is viewed as… … Wikipedia

### Книги

- Algebraic Number Theory and Code Design for Rayleigh Fading Channels, E. Viterbo, F. Oggier, Frederique Oggier, Algebraic number theory is gaining an increasing impact in code design for many different coding applications, such as single antenna fading channels and more recently, MIMO systems.Extended… Категория: Научная литература Подробнее Купить за 6039 руб
- Natural dualities of residuated lattice, Syed Md. Omar Faruk, Natural duality is fundamentally a category-theoretic concept. It is concerned with the quasi-variety generated by a finite algebra. Natural duality theory takes a problem in a class of… Категория: Общие вопросы математики Издатель: LAP Lambert Academic Publishing, Подробнее Купить за 4985 руб
- A Non Standard Approach of Some Vector Lattice Concepts, D. Ne, The starting point of this work consists of several papers published by the author ten years ago. The main idea was to give algebraic descriptions and (sometimes) geometric interpretations… Категория: Научная литература Подробнее Купить за 4389 руб