algebraic structure
set equipped with one or more finitary operations defined on it
algebra over a ring
module over a ring whose multiplication is bilinear
additive group
group of which the group operation is to be thought of as addition
crossed module
generalization of a G-module; algebraic model of a 2-group
cylindric algebra
algebraizes first-order logic with equality
Rees algebra
construction in commutative algebra
term algebra
freely generated algebraic structure over a given signature
prime ring
abstract algebra concept
magma
algebraic structure with a binary operation
modular lattice
meet-join lattice that satisfies the self-dual modular law
free object
a “generic” algebraic structure over the given set, fulfilling no other equations except those given by the defining axioms
modal algebra
algebraic structure providing semantics for modal logics
semigroup with two elements
example of a Semigroup
Tate module
algebraic structure
distributive lattice
lattice in which the operations of join and meet distribute over each other
quotient algebra
construction in universal algebra
composition algebra
not necessarily associative algebra
group algebra
topological algebra associated to continuous groups
near-field
algebraic structure
lattice
partially ordered set that admits greatest lower and least upper bounds
near-ring
algebraic structure in mathematics
partial algebra
Generalization of universal algebra to partial operations.
pseudo-ring
several algebraic structures
set
well-defined mathematical collection of distinct objects
center
concept used in algebra
order
concept in ring theory
pointed set
a set equipped with a choice of a specific element
cellular algebra
finite-dimensional associative algebra with a distinguished basis which is well-adapted to representation theory
four-spiral semigroup
semigroup generated by a, b, c, d with relations a²=a, b²=b, c²=c, d²=d, ab=b, ba=a, bc=b, cb=c, cd=d, dc=c, da=d
heap
algebraic structure with a ternary operation
Hodge algebra
commutative algebra that is a free module over some ring R
null semigroup
semigroup with an absorbing element, called zero, in which the product of any two elements is zero
wheel theory
algebra where division is always defined
pseudo magma
algebraic structure
fusion rules
in conformal field theory, rules that determine which primary fields occur in the operator product expansion of two primary fields
universal algebra
algebraic structure
Skew lattice
Algebraic Structure
convex space
set equipped with a binary convex combination operation
vertex algebra
vector space equipped with a vacuum element, a translation operator and a state‐to‐field map satisfying the Borcherds identity
group
algebraic set with an invertible, associative internal operation admitting a neutral element