In
algebraic geometry, universal algebraic geometry generalizes the geometry of
rings
Ring may refer to:
* Ring (jewellery), a round band, usually made of metal, worn as ornamental jewelry
* To make a sound with a bell, and the sound made by a bell
:(hence) to initiate a telephone connection
Arts, entertainment and media Film and ...
to geometries of arbitrary
varieties of algebras, so that every variety of algebras has its own algebraic geometry. The two terms ''
algebraic variety
Algebraic varieties are the central objects of study in algebraic geometry, a sub-field of mathematics. Classically, an algebraic variety is defined as the set of solutions of a system of polynomial equations over the real or complex numbers. ...
'' and ''variety of algebras'' should not be confused.
See also
*
Algebraic geometry
*
Universal algebra
Universal algebra (sometimes called general algebra) is the field of mathematics that studies algebraic structures themselves, not examples ("models") of algebraic structures.
For instance, rather than take particular groups as the object of stu ...
References
Seven Lectures on the Universal Algebraic Geometry
Algebraic geometry
Universal algebra
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