Results 41 to 50 of about 7,762 (209)
Domains of commutative C*-subalgebras [PDF]
AbstractA C*-algebra is determined to a great extent by the partial order of its commutative C*-subalgebras. We study order-theoretic properties of this directed-complete partially ordered (dcpo). Many properties coincide: the dcpo is, equivalently, algebraic, continuous, meet-continuous, atomistic, quasi-algebraic or quasi-continuous, if and only if ...
Chris Heunen, Bert Lindenhovius
openaire +7 more sources
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis +2 more
wiley +1 more source
The Frattini p-subalgebra of a solvable Lie p-algebra [PDF]
In this paper we continue our study of the Frattini p-subalgebra of a Lie p-algebra L. We show first that if L is solvable then its Frattini p-subalgebra is an ideal of L. We then consider Lie p-algebras L in which L^2 is nilpotent and find necessary and
Towers, David, Lincoln, Mark
core +4 more sources
Some properties of n-dimensional (∈γ, ∈γ, ∨qδ)-fuzzy subalgebra in BRK-algebras
The purpose of this paper is to initiate the concept of n-dimensional (∈γ, ∈γ, ∨qδ)-fuzzy subalgebra in BRK-algebra and investigate some of their related properties.
Zulfiqar Muhammad
doaj +1 more source
Local multiplicativity of perverse filtrations
Abstract Let f:S→C$f:S\rightarrow C$ be a proper surjective morphism from a smooth Kähler surface to a smooth curve. We show that the local perverse filtration associated with the induced map S[n]→C(n)$S^{[n]}\rightarrow C^{(n)}$ is multiplicative on each fiber if and only if f$f$ is an elliptic fibration.
Zili Zhang
wiley +1 more source
AbstractIn the setting A ⊂B ⊂A[x], if B is a Krull domain with torsion class group, so is A. Further relations are discussed, C(B) is proved to be an extension of C(A) by a finite group. The structure of B is described. Some examples are provided for the non-torsion class group case.
openaire +2 more sources
Konstruksi dan Analisis r-Ideal di BG-aljabar
A non-empty set G with a binary operation ∗ and a constant 0 that satisfies the following axioms: , , and for all is called a BG-algebra. A non-empty subset I of G is said to be an ideal in G if it satisfies: (i) and (ii) and implies for all . This
Meivy Andhika Beauty +2 more
doaj +1 more source
A Common External Framework for Kleene and McCarthy Algebras
ABSTRACT Algebras of disjoint alternatives (ADAs), introduced by Manes, are extensions of McCarthy algebras by a unary operator acting as an oracle for the halting problem, and provide a semantics for the equational theory of the if–then–else construct.
Gandolfo Vergottini +2 more
wiley +1 more source
Falling 𝑑-Ideals in 𝑑-Algebras
Based on the theory of a falling shadow which was first formulated by Wang (1985), a theoretical approach of the ideal structure in 𝑑-algebras is established. The notions of a falling 𝑑-subalgebra, a falling 𝑑-ideal, a falling 𝐵𝐶𝐾-ideal, and a falling 𝑑♯-
Young Bae Jun +2 more
doaj +1 more source
A Linear Generalization of the Nearly Gorenstein Property, With Applications to Veronese Subalgebras
ABSTRACT We study the nearly Gorenstein property for Veronese subalgebras of (semi‐)standard graded algebras. We introduce a condition (♮)$(\natural)$ for Cohen–Macaulay semi‐standard graded rings, motivated by the study of Ehrhart rings. We show that if a semi‐standard graded algebra R$ R$ satisfies (♮)$(\natural)$, then its Veronese subalgebras R(k)$
Sora Miyashita
wiley +1 more source

