Results 51 to 60 of about 7,762 (209)
Amenability Constants for Unconditional Sums of Banach Algebras
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
The invariants of the second symmetric power representation of SL_2(F_q) [PDF]
For a prime p>2 and q=p^n, we compute a finite generating set for the SL_2(F_q)-invariants of the second symmetric power representation, showing the invariants are a hypersurface and the field of fractions is a purely transcendental extension of the ...
R. James Shank +4 more
core +1 more source
Fuzzy BCI-subalgebras with interval-valued membership functions
The purpose of this paper is to define the notion of an interval-valued fuzzy BCI-subalgebra (briefly, an i-v fuzzy BCI-subalgebra) of a BCI-algebra. Necessary and sufficient conditions for an i-v fuzzy set to be an i-v fuzzy BCI-subalgebra are stated. A
Sung Min Hong +3 more
doaj +1 more source
Introduction of Neutrosophic Soft Lie Algebras [PDF]
We introduce the concept of neutrosophic soft Lie subalgebras of a Lie algebra and investigate some of their properties. The Cartesian product of neutrosophic soft Lie subalgebras will be discussed.
Sebuhi Abdullayev +2 more
doaj +1 more source
Multi-folded N-Structures with Finite Degree and its Application in BCH- Algebras
The generalization of N-structure is introduced first and then applied to BCH-algebra for research. The concepts of k-folded N-subalgebra, k-folded N-closed ideal and (closed) k-folded N-filter are introduced, and then their relations and several ...
Jeong-Gon Lee, Kul Hur, Young Bae Jun
doaj +1 more source
Sharp Upper Bound for Amplitudes of Finite‐Gap Solutions of the Modified Korteweg‐de Vries Equation
ABSTRACT A sharp upper bound is established for the amplitudes of finite‐gap solutions of the focusing modified Korteweg–de Vries equation. The proof shows that the optimization can be carried out entirely within the finite‐dimensional hierarchy, without explicit integration of the finite‐gap solution. The maximal amplitude is expressed in terms of the
Otis C. Wright III
wiley +1 more source
e-Subalgebras and e-Homomorphisms of PGK2-Algebras
This paper is devoted for three main purposes. First, subalgebras, e-subalgebras of a principal generalized K2-algebra (PGK2-algebra), and their associated principal generalized K2-triples are studied. We prove that every GM-subalgebra, GK-subalgebra, De
Abd El-Mohsen Badawy +3 more
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Generalizations of -Subalgebras in BCK/BCI-Algebras Based on Point -Structures
The aim of this article is to obtain more general forms than the papers of (Jun et al. (2010); Jun et al. (in press)). The notions of -subalgebras of types , and are introduced, and the concepts of -support and -support are also introduced.
Young Bae Jun +2 more
doaj +1 more source
Levi Decomposition of Frobenius Lie Algebra of Dimension 6
In this paper, we study notion of the Lie algebra of dimension 6. The finite dimensional Lie algebra can be expressed in terms of decomposition between Levi subalgebra and the maximal solvable ideal.
Henti Henti, Edi Kurniadi, Ema Carnia
doaj +1 more source
When weak convergence in von Neumann algebras implies almost uniform convergence?
Abstract We show that weak sequential convergence in a semifinite von Neumann algebra M$\mathcal {M}$ equipped with a faithful normal semifinite trace τ$\tau$ implies almost uniform convergence if and only if M$\mathcal {M}$ is of type Ifin$\mathrm{I}_{\rm fin}$ with τ(1)<∞;$\tau (\mathbf {1})<\infty;$ and that weak sequential convergence in a finite ...
Yerlan Nessipbayev +2 more
wiley +1 more source

