# acyclic algebra

__мат.__ациклическая алгебра

*English-Russian scientific dictionary.
2008.*

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**Acyclic object**— In mathematics, in the field of homological algebra, given an abelian category mathcal{C} having enough injectives and an additive (covariant) functor :F :mathcal{C} omathcal{D},an acyclic object with respect to F, or simply an F acyclic object,… … Wikipedia**Mapping cone (homological algebra)**— In homological algebra, the mapping cone is a construction on a map of chain complexes inspired by the analogous construction in topology. In the theory of triangulated categories it is a kind of combined kernel and cokernel: if the chain… … Wikipedia**Homological algebra**— is the branch of mathematics which studies homology in a general algebraic setting. It is a relatively young discipline, whose origins can be traced to investigations in combinatorial topology (a precursor to algebraic topology) and abstract… … Wikipedia**Conjunctive query**— In database theory, a conjunctive query is a restricted form of first order queries. A large part of queries issued on relational databases can be written as conjunctive queries, and large parts of other first order queries can be written as… … Wikipedia**Model category**— In mathematics, particularly in homotopy theory, a model category is a category with distinguished classes of morphisms ( arrows ) called weak equivalences , fibrations and cofibrations . These abstract from a conventional homotopy category, of… … Wikipedia**Nakamura number**— In cooperative game theory and social choice theory, the Nakamura number measures the degree of rationality of preference aggregation rules (collective decision rules), such as voting rules. It is an indicator of the extent to which an… … Wikipedia**Glossary of order theory**— This is a glossary of some terms used in various branches of mathematics that are related to the fields of order, lattice, and domain theory. Note that there is a structured list of order topics available as well. Other helpful resources might be … Wikipedia**List of mathematics articles (A)**— NOTOC A A Beautiful Mind A Beautiful Mind (book) A Beautiful Mind (film) A Brief History of Time (film) A Course of Pure Mathematics A curious identity involving binomial coefficients A derivation of the discrete Fourier transform A equivalence A … Wikipedia**Order theory**— For a topical guide to this subject, see Outline of order theory. Order theory is a branch of mathematics which investigates our intuitive notion of order using binary relations. It provides a formal framework for describing statements such as… … Wikipedia**Injective sheaf**— In mathematics, injective sheaves of abelian groups are used to construct the resolutions needed to define sheaf cohomology (and other derived functors, such as sheaf Ext .). There is a further group of related concepts applied to sheaves: flabby … 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

### Книги

- Sheaf Cohomology and the Dimensions of Chu Spaces, Andrey Sukhonos, We aim at constructing a theory of sheaves and sheaf cohomology on Chu spaces in the framework of the theory of Grothendieck sites. We will also study the structure on the normal Chu spaces… Категория: Научная литература Подробнее Купить за 8239 руб
- Homology of Locally Semialgebraic Spaces, Hans Delfs, Locally semialgebraic spaces serve as an appropriate framework for studying the topological properties of varieties and semialgebraic sets over a real closed field. This book contributes to… Категория: Научная литература Подробнее Купить за 5289 руб
- Sheaf cohomology and the dimensions of chu spaces, Andrey Sukhonos, We aim at constructing a theory of sheaves and sheaf cohomology on Chu spaces in the framework of the theory of Grothendieck sites. We will also study the structure on the normal Chu spaces… Категория: Общие вопросы математики Издатель: LAP Lambert Academic Publishing, Подробнее Купить за 4985 руб