- (C*-algebras, von
Neumann algebras).
Quantales are
sometimes referred to as
complete residuated semigroups. A
quantale is a
complete lattice Q {\displaystyle...
-
generalization of
metric spaces and posets,
which uses the
concept of
quantales, and that can be used to
unify the
notions of
metric spaces and domains...
- 59 into
prime parts 1851 = sum of the
first 32
primes 1852 =
number of
quantales on 5 elements, up to
isomorphism 1853 = sum of
primitive roots of 27-th...
- (with the
monoidal structure induced by the
Cartesian product) is a
unital quantale. A
monoid object in (Ab, ⊗Z, Z), the
category of
abelian groups, is a ring...
- Javier; Höhle, Ulrich; Kortelainen, Jari (2018).
Semigroups in
Complete Lattices:
Quantales,
Modules and
Related Topics. Springer. ISBN 978-3319789484....
- 2307/2310058. ISSN 0002-9890. JSTOR 2310058. Yetter,
David N. (1990). "
Quantales and (Noncommutative)
Linear Logic". The
Journal of
Symbolic Logic. 55...
-
combine orders with even more
algebraic operations, as in the case of
quantales, that
allow for the
definition of an
addition operation. Many
other important...
- 1987, pp. 325–332 Gylys, R. P. (1994)
Quantal sets and
sheaves over
quantales, Liet. Matem. Rink., v. 34, No. 1, pp. 9–31.
Ulrich Höhle,
Stephen Ernest...
-
Robert (2006b). "A Kripke-Joyal
Semantics for
Noncommutative Logic in
Quantales" (PDF). In Governatori, G.; Hodkinson, I.; V****, Y. (eds.). Advances...
- join), and
product make the set of
ideals of a
commutative ring into a
quantale. If a , b {\displaystyle {\mathfrak {a}},{\mathfrak {b}}} are
ideals of...
