💡 Words with a Similar Meaning to "Exact sequence"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| short exact sequencenoun | (homological algebra) An exact sequence of the form 0→A→B→C→0. |
| chain complexnoun | (algebraic topology) A sequence of Abelian groups (or modules), together with a sequence of homomorphisms (called boundary homomorphisms) between consecutive groups, such that the image of one homomorphism is contained in the kernel of the next. |
| homomorphismnoun | (algebra) A structure-preserving map between two algebraic structures of the same type, such as groups, rings, or vector spaces. |
| supersequencenoun | (mathematics) A superset of sequences |
| homologynoun | The relationship of being homologous; a homologous relationship. |
| semigroup homomorphismnoun | (mathematics) a function that preserves semigroup structure |
| homology groupnoun | (algebraic topology) The quotient group of the kth cycle group modulo the kth boundary group (derived from the chain complex of, e.g., a given simplicial complex). |
| inverse systemnoun | (algebra) A set of algebraic structures (which are part of a concrete category; e.g., groups) and a set of morphisms between them (e.g., group homomorphisms) which all together form a small category which is the image of a contravariant functor whose domain is a directed poset. |
| isogenynoun | (algebraic geometry, category theory) An epimorphism of group schemes that is surjective and has a finite kernel. |
| semigroupnoun | (mathematics) Any set for which there is a binary operation that is closed and associative. |
| pseudogroupnoun | (chemistry) Any group of the extended periodic table containing lanthanides or actinides |
| semigroupoidnoun | (mathematics) A form of partial algebra in category theory. |
| ring homomorphismnoun | (algebra) A function from one ring to another one which preserves the structure of the additive operation, the structure of the multiplicative operation, the zero element (additive identity), and, if there is one, the unity element (multiplicative identity). |
| boundary homomorphismnoun | (algebraic topology, in a simplicial chain complex) A group homomorphism on the group of simplicial k-chains induced by mapping each oriented k-simplex to a particular formal sum of its faces. |
| cycle groupnoun | (algebraic topology) The kernel of the kᵗʰ boundary homomorphism (of a given chain complex). |
| isomorphismnoun | Similarity of form |
| homological algebranoun | (algebra) The branch of mathematics dealing with homology and in particular with homological functors and the algebraic structures they entail. |
| almost split sequencenoun | (algebra) Synonym of Auslander-Reiten sequence. |
| pseudosequencenoun | (mathematics) An apparent sequence used as a key in data compression |
| congruencenoun | The quality of agreeing or corresponding; being suitable and appropriate. |
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