Ads
related to: geometric multi color rings
Search results
Results From The WOW.Com Content Network
The name "Borromean rings" comes from the use of these rings, in the form of three linked circles, in the coat of arms of the aristocratic Borromeo family in Northern Italy. [ 9 ] [ 10 ] The link itself is much older and has appeared in the form of the valknut , three linked equilateral triangles with parallel sides, on Norse image stones ...
The pattern can be extended outward in concentric hexagonal rings of circles, as shown. The first row shows rings of circles. The second row shows a three-dimensional interpretation of a set of n×n×n cube of spheres viewed from a diagonal axis. The third row shows the pattern completed with partial circle arcs within a set of completed circles.
Ring theory studies the structure of rings; their representations, or, in different language, modules; special classes of rings (group rings, division rings, universal enveloping algebras); related structures like rngs; as well as an array of properties that prove to be of interest both within the theory itself and for its applications, such as ...
The prime spectrum of a Boolean ring (e.g., a power set ring) is a compact totally disconnected Hausdorff space (that is, a Stone space). [4] (M. Hochster) A topological space is homeomorphic to the prime spectrum of a commutative ring (i.e., a spectral space) if and only if it is compact, quasi-separated and sober. [5]
If K is a commutative ring, the polynomial ring K[X 1, …, X n] has the following universal property: for every commutative K-algebra A, and every n-tuple (x 1, …, x n) of elements of A, there is a unique algebra homomorphism from K[X 1, …, X n] to A that maps each to the corresponding .
Informally, it is shaped like a ring or a hardware washer. The word "annulus" is borrowed from the Latin word anulus or annulus meaning 'little ring'. The adjectival form is annular (as in annular eclipse). The open annulus is topologically equivalent to both the open cylinder S 1 × (0,1) and the punctured plane.