A ring is a circular band, usually made of metal, that is worn as ornamental jewellery. Rings are generally worn on the finger, but can also be worn on other parts of the body. Despite the various styles of rings, they all refer to finger jewellery. The definition of a ring may vary from culture to culture.
Rings can be made of different materials. For example, they can be made of silver, gold, or platinum. Some rings are carved or engraved with the name of the person on them. Others may be engraved with a phrase or a couple of lines of poetry. Rings have been around for a long time. The earliest rings are those from the time of the ancient Egyptians. The Egyptians used these rings primarily for signet purposes, and the Egyptians engraved their names and titles in the bezels of the rings. Ancient Greeks and Romans also used rings for decoration. In the Hellenistic period, rings began to contain individual stones. The Romans also used rings made of vitreous pastes for their ornaments.
The study of rings has roots in algebraic geometry and number theory. Rings of polynomials, in particular, are generalizations of integers, and can be used to solve a number of number theory problems. The study of rings is also useful in other areas of mathematics. They can be used to define the properties of polynomials.
In the Lord of the Rings trilogy, the ring is an important symbol. The Rings symbolize power, and the ability to destroy an evil entity. Gandalf, the Maiar of Valinor, carries the Ring of Power in his hands. He is wise and powerful, and is tasked with inspiring resistance against Sauron.
The ring of integers is a subring of the ring of real numbers. It contains the multiplicative identity element 1, but the subset of the even integers is not. The intersection of two rings is a subring. This is the center of the ring. There are other rings in this series, but these are the most familiar.
The rings of Saturn are tens of meters thick and extend almost 130,000 km above the equator. They are composed of billions of particles that are packed closely together. This means that any object with a slightly inclined orbit will collide with another object when passing through the rings. As a result, these objects will eventually fall into the pack.
Rings are naturally generalized by other mathematics. The idea of ring homomorphism can be generalized to other objects by using additive functors. The concept of ring homomorphism is also used to define ideals in arbitrary additive categories. The ideals of a category are the sets of morphisms that are closed under addition or composition.
The ring is associated with the abelian group of algebra. The right multiplication of R yields a morphism of (R, +). This is a representation of algebra.