Results 41 to 50 of about 7,762 (209)

Domains of commutative C*-subalgebras [PDF]

open access: yesMathematical Structures in Computer Science, 2015
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

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
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]

open access: yes, 1997
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

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
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

open access: yesTransactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
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

A-subalgebras of A[x]

open access: yesJournal of Algebra, 1979
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

open access: yesJambura Journal of Mathematics
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

open access: yesMathematical Logic Quarterly, Volume 72, Issue 4, November 2026.
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

open access: yesDiscrete Dynamics in Nature and Society, 2011
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

open access: yesMathematische Nachrichten, Volume 299, Issue 9, Page 2436-2451, September 2026.
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

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