# Algebraically

Algebraically
Algebraically Al`ge*bra"ic*al*ly, adv. By algebraic process. [1913 Webster]

The Collaborative International Dictionary of English. 2000.

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• algebraically — adverb in an algebraic manner (Freq. 4) algebraically determined • Derived from adjective: ↑algebraic …   Useful english dictionary

• Algebraically closed field — In mathematics, a field F is said to be algebraically closed if every polynomial in one variable of degree at least 1, with coefficients in F , has a root in F . ExamplesAs an example, the field of real numbers is not algebraically closed,… …   Wikipedia

• Algebraically compact module — In mathematics, especially in the area of abstract algebra known as module theory, algebraically compact modules, also called pure injective modules, are modules that have a certain nice property which allows the solution of infinite systems of… …   Wikipedia

• Algebraically closed group — In mathematics, in the realm of group theory, a group A is algebraically closed if any finite set of equations and inequations that make sense in A already have a solution in A . This idea will be made precise later in the article.Informal… …   Wikipedia

• 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

• algebraically closed — adjective Containing all roots of single variable polynomials in its elements. According to the fundamental theorem of algebra, the field of complex numbers is algebraically closed …   Wiktionary

• algebraically — adverb see algebraic …   New Collegiate Dictionary

• algebraically — See algebraic. * * * …   Universalium

• algebraically — adv. in algebraic form; via algebra …   English contemporary dictionary