algebra, an interior algebra is a certain type of algebraic structure that encodes the idea of the topological interior of a set. Interior algebras are...

of mathematics, the algebraic interior or radial kernel of a subset of a vector space is a refinement of the concept of the interior. Assume that A {\displaystyle...

Boolean algebras to interior algebras and should not be confused with the Stone topology of the underlying Boolean algebra of the interior algebra which...

Boolean algebra Interior algebra Two-element Boolean algebra Derivative algebra (abstract algebra) Free Boolean algebra Monadic Boolean algebra De Morgan...

S5-algebra is a synonym for monadic Boolean algebra. Clopen set Cylindric algebra Interior algebra Kuratowski closure axioms Łukasiewicz–Moisil algebra Modal...

used for an interior algebra in the literature. In the work of the mathematician R.S. Pierce, a topological Boolean algebra is a Boolean algebra equipped...

their boundary. Algebraic interior – Generalization of topological interior DE-9IM – Topological model Interior algebra – Algebraic structure Jordan curve...

mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the variables...

In mathematics, the exterior algebra or Grassmann algebra of a vector space V {\displaystyle V} is an associative algebra that contains V , {\displaystyle...

In mathematics, a Heyting algebra (also known as pseudo-Boolean algebra) is a bounded lattice (with join and meet operations written ∨ and ∧ and with...

(California), a road in San Diego, California S4 algebra, a variety of modal algebras, also called Interior algebra Tetrahedral symmetry, the symmetric group...

In mathematical logic, the Lindenbaum–Tarski algebra (or Lindenbaum algebra) of a logical theory T consists of the equivalence classes of sentences of...

degree −1 (anti)derivation on the exterior algebra of differential forms on a smooth manifold. The interior product, named in opposition to the exterior...

modal algebra satisfying ◻ ( − ◻ x ∨ x ) = ◻ x {\displaystyle \Box (-\Box x\lor x)=\Box x} . Magari algebras correspond to provability logic. Interior algebra...

S5 are models of interior algebra, a proper extension of Boolean algebra originally designed to capture the properties of the interior and closure operators...

and algebraic description of models appropriate for the study of various logics (in the form of classes of algebras that constitute the algebraic semantics...

point is closed under arbitrary intersections. Interior and closure algebraic characterizations: The interior operator distributes over arbitrary intersections...

the monad-comonad theory, and modal logic via closure operators, interior algebras, and their relation to models of S4 and intuitionistic logics. It...

derivation is a function on an algebra that generalizes certain features of the derivative operator. Specifically, given an algebra A over a ring or a field...

geometric algebra (also known as a Clifford algebra) is an algebra that can represent and manipulate geometrical objects such as vectors. Geometric algebra is...

correspondence between two partially ordered sets Interior algebra – Algebraic structure Interior (topology) – Largest open subset of some given set...

topological boolean algebras—that is, boolean algebras with an interior operator. Other modal logics are characterized by various other algebras with operators...

Ultraintuitionism Luitzen Egbertus Jan Brouwer Kripke semantics Sahlqvist formula Interior algebra First-order resolution Automated theorem proving ACL2 theorem prover...

The fundamental theorem of algebra, also called d'Alembert's theorem or the d'Alembert–Gauss theorem, states that every non-constant single-variable polynomial...

Alexandrov topology on that set. Preorders may be used to define interior algebras. Preorders provide the Kripke semantics for certain types of modal...

are purely algebraic and rely on commutative algebra. Some are restricted to algebraic varieties while others apply also to any algebraic set. Some are...

convex. Interior (topology) – Largest open subset of some given set Algebraic interior – Generalization of topological interior Quasi-relative interior – Generalization...

Cluster algebras are a class of commutative rings introduced by Fomin and Zelevinsky (2002, 2003, 2007). A cluster algebra of rank n is an integral domain...

mathematics may refer to two different formulae in differential geometry or algebraic topology. The Cartan formula in differential geometry states: L X = d...

In mathematics, a De Morgan algebra (named after Augustus De Morgan, a British mathematician and logician) is a structure A = (A, ∨, ∧, 0, 1, ¬) such...