exact sequence

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• Exact sequence — In mathematics, especially in homological algebra and other applications of abelian category theory, as well as in differential geometry and group theory, an exact sequence is a (finite or infinite) sequence of objects and morphisms between them… …   Wikipedia

• exact sequence — noun A sequence of groups with adjacent groups connected by homomorphisms such that the image of one homomorphism is the kernel of the next …   Wiktionary

• Five-term exact sequence — The five term exact sequence or exact sequence of low degree terms is a sequence of terms related to the first step of a spectral sequence.More precisely, let: E 2 p , q rArr; H n ( A )be a spectral sequence, whose terms are non trivial only for… …   Wikipedia

• short exact sequence — noun An exact sequence of precisely three nontrivial groups …   Wiktionary

• Exact category — In mathematics, an exact category is a concept of category theory due to Daniel Quillen which is designed to encapsulate the properties of short exact sequences in abelian categories without requiring that morphisms actually possess kernels and… …   Wikipedia

• Exact functor — In homological algebra, an exact functor is a functor, from some category to another, which preserves exact sequences. Exact functors are very convenient in algebraic calculations, roughly speaking because they can be applied to presentations of… …   Wikipedia

• Sequence — For other uses, see Sequence (disambiguation). In mathematics, a sequence is an ordered list of objects (or events). Like a set, it contains members (also called elements or terms), and the number of terms (possibly infinite) is called the length …   Wikipedia

• exact — ex|act1 [ ıg zækt ] adjective ** 1. ) usually before noun done, made, or described in a very thorough way, with all the details correct: This is an exact replica of the original ship. We need to establish the exact sequence of events leading up… …   Usage of the words and phrases in modern English

• exact — I UK [ɪɡˈzækt] / US adjective ** 1) [usually before noun] done, made, or described in a very thorough way, with all the details correct This is an exact replica of the original ship. We need to establish the exact sequence of events leading up to …   English dictionary

• sequence */*/*/ — UK [ˈsiːkwəns] / US [ˈsɪkwəns] noun Word forms sequence : singular sequence plural sequences 1) [countable/uncountable] a set of related things that happen or are arranged in a particular order A computer can store and repeat sequences of… …   English dictionary

• sequence — se|quence [ sikwəns ] noun *** 1. ) count or uncount a set of related things that happen or are arranged in a particular order: A computer can store and repeat sequences of instructions. a dance sequence the sequence of events: Can you describe… …   Usage of the words and phrases in modern English