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The algebraic integers in a number field.

A metric space Z^^ in which the closure of a congruence class B(j,m) is the corresponding congruence class {x in Z^^|x=j (mod m)}.

An archaic name for the torus.

The set of sums sum_(x)a_xx ranging over a multiplicative group and a_i are elements of a field with all but a finite number of a_i=0. Group rings are graded algebras.

The intersection product for classes of rational equivalence between cycles on an algebraic variety.

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.