Word Explorer

Hyperring

💡 Words with a Similar Meaning to "Hyperring"

Found via reverse dictionary — words that share a conceptual meaning.

WordDefinition
hypergroupnoun(mathematics) Any algebraic group equipped with a hyperoperation.
semihypergroupnoun(mathematics) Any hypergroup for which the reproduction axiom is valid.
hypergroupoidnoun(mathematics) A hyperstructure with a hyperoperation.
hyperdegreenoun(mathematics) The property of a number shared with another number with which it is hyperarithmetical.
ringnoun(physical) A solid object in the shape of a circle.
hyperstructurenoun(architecture) A very densely populated habitat, as in arcology.
hypermodulenoun(mathematics) A module over a hyperring
hyperalgebranoun(mathematics) The formal group ring of a formal group law.
ring homomorphismnoun(algebra) A function from one ring to another one which preserves the structure of the additive operation, the structure of the multiplicative operation, the zero element (additive identity), and, if there is one, the unity element (multiplicative identity).
additive groupnoun(mathematics) Any group, or algebraic object that can be regarded as a group, whose binary operation is called addition and denoted +; specifically:
zeronounThe numeric symbol that represents the cardinal number zero.
subhypergroupnoun(mathematics) A specific type of subset of a hypergroup
additive identitynoun(algebra) An element of an algebraic structure, generally denoted 0, which is an identity for an additive operation (generally denoted +). That is, x + 0 = 0 + x = x for any x in the structure.
additivenessnoun(mathematics, nonstandard) additivity
boolean ringnoun(algebra) A ring whose multiplicative operation is idempotent.
semiautomatonnoun(mathematics, computer science) a multiplicative operation of a monoid on a set
hypernumbernoun(mathematics) A kind of number more complex than a hypercomplex number.
hyperfieldnoun(mathematics) A field in which the operation of addition is multivalued
division ringnoun(algebra) A ring with 0 ≠ 1, such that every non-zero element a has a multiplicative inverse, meaning an element x with ax = 1.
ordered integral domainnoun(algebra) An integral domain which has a subset whose elements are said to be "positive", such that this subset is closed under addition, closed under multiplication, and all elements of the integral domain satisfy a law of trichotomy; namely, that either that element is in the said subset, or it is the zero (additive identity), or its product with −1 (the additive inverse of the multiplicative identity) belongs to the said subset.

Translate “Hyperring” into Another Language

Pick a language — the word will be pre-filled in the translator.

Home/Dictionary/Hyperring