AlgebraBereich
Algebrabereich is not a standard term in mathematics. In German, “Bereich” commonly means domain or region, and “Algebra” refers to algebraic structures and operations. As such, Algebrabereich is best understood as an informal or context-dependent label rather than a fixed technical term. In discussions where it appears, it is typically intended to point to a region or subset that has an algebraic character or is defined in algebraic terms.
Possible interpretations include: a subalgebra of a given algebraic structure, i.e., a subset that is closed
A second interpretation is a region in a geometric space defined by algebraic equations, i.e., an algebraic
Examples illustrate both readings. Subalgebra: in a polynomial ring k[x,y], the subalgebra k[x] or k[x^2, xy, y^2]
See also: algebra, subalgebra, algebraic variety, coordinate ring, Zariski topology. Note that the term is informal;