- algebraically complete
- мат.алгебраически полный
English-Russian scientific dictionary. 2008.
algebraically complete
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Algebraically compact group — In mathematics, in the realm of Abelian group theory, a group is said to be algebraically compact if it is a direct summand of every Abelian group containing it as a pure subgroup.Equivalent characterizations of algebraic compactness: * The group … Wikipedia
Complete intersection — In mathematics, an algebraic variety V in projective space is a complete intersection if it can be defined by the vanishing of the number of homogeneous polynomials indicated by its codimension. That is, if the dimension of an algebraic variety V … Wikipedia
Complete theory — In mathematical logic, a theory is complete if it is a maximal consistent set of sentences, i.e., if it is consistent, and none of its proper extensions is consistent. For theories in logics which contain classical propositional logic, this is… … Wikipedia
Quasi-algebraically closed field — In mathematics, a field F is called quasi algebraically closed (or C1) if for every non constant homogeneous polynomial P over F has a non trivial zero provided the number of its variables is more than its degree. In other words, if P is a non… … Wikipedia
Model complete theory — In model theory, a first order theory is called model complete if every embedding of models is an elementary embedding. Equivalently, every first order formula is equivalent to a universal formula. This notion was introduced by Abraham Robinson.… … Wikipedia
Форсайт Эндрю Рассел — (Andrew Russel Forsyth) английский математик. Род. в 1858. В 1882 г. профессор математики в университетском колледже в Ливерпуле. С 1884 г. в Кембридже, как в Trinity College, так и в университете. Учено литературная деятельность Ф. началась с… … Энциклопедический словарь Ф.А. Брокгауза и И.А. Ефрона
Форсейт Эндрю Рассел — (Форсайт, Andrew Russel Forsyth) английский математик. Род. в 1858. В 1882 г. проф. математики в университетском колледже в Ливерпуле. С 1884 г. в Кембридже, как в Trinity College, так и в университете. Учено литературная деятельность Ф. началась … Энциклопедический словарь Ф.А. Брокгауза и И.А. Ефрона
Irreducible polynomial — In mathematics, the adjective irreducible means that an object cannot be expressed as a product of at least two non trivial factors in a given set. See also factorization. For any field F , the ring of polynomials with coefficients in F is… … Wikipedia
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Subcategory — In mathematics, a subcategory of a category C is a category S whose objects are objects in C and whose morphisms are morphisms in C with the same identities and composition of morphisms. Intuitively, a subcategory of C is a category obtained from … Wikipedia
Differentially closed field — In mathematics, a differential field K is differentially closed if every finite system of differential equations with a solution in some differential field extending K already has a solution in K. This concept was introduced by Robinson (1959).… … Wikipedia
