**Algebraically** — Al ge*bra ic*al*ly, adv. By algebraic process. [1913 Webster] … The Collaborative International Dictionary of English

**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** — adverb Using algebra. See Also: algebraicize … Wiktionary

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