Almost ring

An **almost ring** is a mathematical structure that generalizes the concept of a ring, with some relaxation of the usual axioms. In particular, an almost ring is defined by a set equipped with two operations (usually called addition and multiplication) that partially satisfy the properties of a ring, but do not necessarily satisfy all the ring axioms. In general, the concept of an almost ring can vary in definition depending on the context or the specific formulation found in various mathematical literature.