(monomorphism)

  • 21Dual (category theory) — In category theory, a branch of mathematics, duality is a correspondence between properties of a category C and so called dual properties of the opposite category Cop. Given a statement regarding the category C, by interchanging the source and… …

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  • 22Category of rings — In mathematics, the category of rings, denoted by Ring, is the category whose objects are rings (with identity) and whose morphisms are ring homomorphisms (preserving the identity). Like many categories in mathematics, the category of rings is… …

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  • 23Monomorphisme — Dans le cadre de l algèbre générale ou de l algèbre universelle, un monomorphisme est simplement un homomorphisme injectif. Dans le cadre plus général de la théorie des catégories, un monomorphisme (aussi appelé mono) est un morphisme… …

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  • 24Group homomorphism — In mathematics, given two groups ( G , *) and ( H , ·), a group homomorphism from ( G , *) to ( H , ·) is a function h : G → H such that for all u and v in G it holds that: h(u*v) = h(u) h(v) where the group operation on the left hand side of the …

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  • 25Isomorphism theorem — In mathematics, specifically abstract algebra, the isomorphism theorems are three theorems that describe the relationship between quotients, homomorphisms, and subobjects. Versions of the theorems exist for groups, rings, vector spaces, modules,… …

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  • 26Embedding — In mathematics, an embedding (or imbedding) is one instance of some mathematical structure contained within another instance, such as a group that is a subgroup.When some object X is said to be embedded in another object Y , the embedding is… …

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  • 27Small population size — Populations with small population size behave differently to larger populations. Often this has various harmful consequences for the survival of that population.Demographic effectsThe influence of stochastic (random) variation in demographic… …

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  • 28Exact 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… …

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  • 29Glossary of ring theory — Ring theory is the branch of mathematics in which rings are studied: that is, structures supporting both an addition and a multiplication operation. This is a glossary of some terms of the subject. Contents 1 Definition of a ring 2 Types of… …

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  • 30Equaliser (mathematics) — This article is about equalisers in mathematics. For other meanings, see Equalizer (disambiguation). In mathematics, an equaliser, or equalizer, is a set of arguments where two or more functions have equal values. An equaliser is the solution set …

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