Results 121 to 130 of about 152,483 (296)
Is every product system concrete?
Abstract Is every product system of Hilbert spaces over a semigroup P$P$ concrete, that is, isomorphic to the product system of an E0$E_0$‐semigroup over P$P$? The answer is no if P$P$ is discrete, cancellative and does not embed in a group. However, we show that the answer is yes for a reasonable class of semigroups.
S. Sundar
wiley +1 more source
AbstractThe study of homomorphic encryption techniques has led to significant advancements in the computing domain, particularly in the sphere of cloud computing. Homomorphic encryption provides a means for securely transmitting and storing confidential information across and in a computer system.
Ogburn, Monique +2 more
openaire +1 more source
On finitely generated left nilpotent braces
Abstract A description of finitely generated left nilpotent braces of class at most two is presented in this paper. The description heavily depends on the fact that if B$B$ is left nilpotent of class at most 2, that is B3=0$B^3 = 0$, then B$B$ is right nilpotent of class at most 3, that is B(4)=0$B^{(4)} = 0$. In addition, we construct a free object in
Hangyang Meng +3 more
wiley +1 more source
On Endomorphism Universality of Sparse Graph Classes
ABSTRACT We show that every commutative idempotent monoid (a.k.a. lattice) is the endomorphism monoid of a subcubic graph. This solves a problem of Babai and Pultr and the degree bound is best‐possible. On the other hand, we show that no class excluding a minor can have all commutative idempotent monoids among its endomorphism monoids. As a by‐product,
Kolja Knauer, Gil Puig i Surroca
wiley +1 more source
Generalized Lower and Upper Approximations in Quantales
We introduce the concepts of set-valued homomorphism and strong set-valued homomorphism of a quantale which are the extended notions of congruence and complete congruence, respectively.
Qimei Xiao, Qingguo Li
doaj +1 more source
On radicals and continuity of homomorphisms into Banach algebras [PDF]
Edith H. Luchins
openalex +1 more source
A Dichotomy Theorem for Γ‐Switchable H‐Colouring on m‐Edge‐Coloured Graphs
ABSTRACT Let G be a graph in which each edge is assigned one of the colours 1 , 2 , … , m, and let Γ be a subgroup of S m. The operation of switching at a vertex x of G with respect to an element π of Γ permutes the colours of the edges incident with x according to π.
Richard Brewster +2 more
wiley +1 more source
Pathological computations of Mackey functor‐valued Tor over cyclic groups
Abstract In equivariant algebra, Mackey functors play the role of abelian groups and Green and Tambara functors play the role of commutative rings. In this paper, we compute Mackey functor‐valued Tor over certain free Green and Tambara functors, generalizing the computation of Tor over a polynomial ring on one generator.
David Mehrle +2 more
wiley +1 more source

