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A Möbius strip with finite thickness.

If R is a Noetherian ring, then S=R[X] is also a Noetherian ring.

A coordinate system similar to toroidal coordinates but with fourth-degree instead of second-degree surfaces for constant mu so that the toroids of circular cross section are ...

A module over a ring that is contained in and has the same addition as another module over the same ring.

A subring of a ring R is a subgroup of R that is closed under multiplication.

An associative ring, also called a Hecke ring, which has a technical definition in terms of commensurable subgroups.

A more common way to describe a Euclidean ring.

An extension ring R subset= S such that every element of S is integral over R.

The ring of integers of a number field K, denoted O_K, is the set of algebraic integers in K, which is a ring of dimension d over Z, where d is the extension degree of K over ...

An element B of a ring is nilpotent if there exists a positive integer k for which B^k=0.