Results 31 to 40 of about 1,049 (188)

FIXED POINTS AND CUT-HOMOMORPHISMS GENERATED BY ACTIONS OF A BE-ALGEBRA ON ITS SUBALGEBRA [PDF]

Journal of Algebraic Systems
The concept of actions of a BE-algebra on its subalgebra is introduced and certain properties of these actions are derived. The notion of cut-homomorphisms is introduced in BE-algebras and proved that the class of all cut-homomorphisms forms an ordered ...
Mukkamala Sambasiva Rao
doaj   +1 more source

MAD SUBALGEBRAS AND LIE SUBALGEBRAS OF AN ENVELOPING ALGEBRA [PDF]

Bulletin of the Australian Mathematical Society, 2010
AbstractLet 𝒰(𝔯(1)) denote the enveloping algebra of the two-dimensional nonabelian Lie algebra 𝔯(1) over a base field 𝕂. We study the maximal abelian ad-nilpotent (mad) associative subalgebras and finite-dimensional Lie subalgebras of 𝒰(𝔯(1)). We first prove that the set of noncentral elements of 𝒰(𝔯(1)) admits the Dixmier partition, 𝒰(𝔯(1))−𝕂=⋃ 5i ...
openaire   +1 more source

The Existence of Affine Structures on the Borel Subalgebra of Dimension 6

ComTech, 2021
The notion of affine structures arises in many fields of mathematics, including convex homogeneous cones, vertex algebras, and affine manifolds. On the other hand, it is well known that Frobenius Lie algebras correspond to the research of homogeneous ...
Edi Kurniadi, Ema Carnia, Herlina Napitupulu   +2 more
doaj   +1 more source

Further results on (∈, ∈)-neutrosophic subalgebras and ideals in BCK/BCI-algebras [PDF]

Neutrosophic Sets and Systems, 2018
Characterizations of an (∈, ∈)-neutrosophic ideal are considered. Any ideal in a BCK/BCI-algebra will be realized as level neutrosophic ideals of some (∈, ∈)-neutrosophic ideal.
G. Muhiuddin, Hashem Bordbar, Florentin Smarandache, Young Bae Jun   +3 more
doaj   +1 more source

Domains of commutative C*-subalgebras [PDF]

Mathematical 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   +6 more sources

Homogeneous approximation for minimal realizations of series of iterated integrals

Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2022
In the paper, realizable series of iterated integrals with scalar coefficients are considered and an algebraic approach to the homogeneous approximation problem for nonlinear control systems with output is developed.
D. M. Andreieva, S. Yu. Ignatovich
doaj   +1 more source

Amenability Constants for Unconditional Sums of Banach Algebras

Mathematische Nachrichten, EarlyView.
ABSTRACT We study Johnson amenability for unconditional direct sums of Banach algebras. Given a family (Ai)i∈I$(A_i)_{i\in I}$ of Banach algebras and a Banach sequence lattice E$E$ on I$I$, the E$E$‐sum ⨁i∈IAiE${\bigl (\bigoplus _{i\in I} A_i\bigr)}_{\!E}$ carries a natural Banach algebra structure via coordinatewise multiplication.
Tomasz Kania, Jerzy Ka̧kol
wiley   +1 more source

Some properties of n-dimensional (∈γ, ∈γ, ∨qδ)-fuzzy subalgebra in BRK-algebras

Analele 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

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

Mathematical 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, S. Moyo, P. G. L. Leach   +2 more
wiley   +1 more source

Local multiplicativity of perverse filtrations

Transactions 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