Gelfand theorem implies Stone representation theorem of Boolean rings by Parfeny P. Saworotnow

Subjects: “…Banach algebra…”
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Hilbert Algebras with Hilbert-Galois Connections II by Sergio A. Celani, Daniela Montagie

Subjects: “…hilbert algebra…”
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On the ideals of extended quasi-nilpotent Banach algebras by Morteza Seddighin

Subjects: “…Banach algebra…”
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Schatten's theorems on functionally defined Schur algebras by Pachara Chaisuriya, Sing-Cheong Ong

“…For each triple of positive numbers p,q,r≥1 and each commutative C*-algebra ℬ with identity 1 and the set s(ℬ) of states on ℬ, the set 𝒮r(ℬ) of all matrices A=[ajk] over ℬ such that ϕ[A[r]]:=[ϕ(|ajk|r)] defines a bounded operator from ℓp to ℓq for all ϕ∈s(ℬ) is shown to be a Banach algebra under the Schur product operation, and the norm ‖A‖=‖|A|‖p,q,r=sup{‖ϕ[A[r]]‖1/r:ϕ∈s(ℬ)}. …”
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Large Function Algebras with Certain Topological Properties by Artur Bartoszewicz, Szymon Głąb

“…We give a sufficient condition so that F∪{0} contains a dense c-generated free algebra; in other words, F is densely c-strongly algebrable. …”
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The Viro Method for Construction of Piecewise Algebraic Hypersurfaces by Yisheng Lai, Weiping Du, Renhong Wang

“…We propose a new method to construct a real piecewise algebraic hypersurface of a given degree with a prescribed smoothness and topology. …”
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Algebraic and categorical properties of r-ideal systems by Aleka Kalapodi, Angeliki Kontolatou

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Computational Algebraic Geometry in String and Gauge Theory by Yang-Hui He, Philip Candelas, Amihay Hanany, Andre Lukas, Burt Ovrut

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Real Gel'fand-Mazur division algebras by Mati Abel, Olga Panova

“…We show that the complexification (A˜,τ˜) of a real locally pseudoconvex (locally absorbingly pseudoconvex, locally multiplicatively pseudoconvex, and exponentially galbed) algebra (A,τ) is a complex locally pseudoconvex (resp., locally absorbingly pseudoconvex, locally multiplicatively pseudoconvex, and exponentially galbed) algebra and all elements in the complexification (A˜,τ˜) of a commutative real exponentially galbed algebra (A,τ) with bounded elements are bounded if the multiplication in (A,τ) is jointly continuous. …”
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An application of the Sakai's theorem to the characterization of H*-algebras by Borut Zalar

Subjects: “…H*-algebra…”
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L-Fuzzy Prime Ideals in Universal Algebras by Berhanu Assaye Alaba, Gezahagne Mulat Addis

“…In this paper, the notions of L-fuzzy prime ideals and maximal L-fuzzy ideals of universal algebras are introduced by applying the general theory of algebraic fuzzy systems.…”
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On Symmetric Left Bi-Derivations in BCI-Algebras by G. Muhiuddin, Abdullah M. Al-roqi, Young Bae Jun, Yilmaz Ceven

“…The notion of symmetric left bi-derivation of a BCI-algebra X is introduced, and related properties are investigated. …”
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The structure of a subclass of amenable banach algebras by R. El Harti

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Bounded Approximate Identities in Ternary Banach Algebras by Madjid Eshaghi Gordji, Ali Jabbari, Gwang Hui Kim

“…Let A be a ternary Banach algebra. We prove that if A has a left-bounded approximating set, then A has a left-bounded approximate identity. …”
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On Some Fuzzy Filters in Pseudo-BCI Algebras by Xiaohong Zhang

“…Some new properties of fuzzy associative filters (also known as fuzzy associative pseudo-filters), fuzzy p-filter (also known as fuzzy pseudo-p-filters), and fuzzy a-filter (also known as fuzzy pseudo-a-filters) in pseudo-BCI algebras are investigated. By these properties, the following important results are proved: (1) a fuzzy filter (also known as fuzzy pseudo-filters) of a pseudo-BCI algebra is a fuzzy associative filter if and only if it is a fuzzy a-filter; (2) a filter (also known as pseudo-filter) of a pseudo-BCI algebra is associative if and only if it is an a-filter (also call it pseudo-a filter); (3) a fuzzy filter of a pseudo-BCI algebra is fuzzy a-filter if and only if it is both a fuzzy p-filter and a fuzzy q-filter.…”
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Supersets for the spectrum of elements in extended Banach algebras by Morteza Seddighin

“…If A is a Banach Algebra with or without an identity, A can be always extended to a Banach algebra A¯ with identity, where A¯ is simply the direct sum of A and C, the algebra of complex numbers. …”
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Local maxima of a random algebraic polynomial by K. Farahmand, P. Hannigan

“…The formula referred to above is then used to find the expected number of maxima below the level u for the random algebraic polynomial. This result highlights the very pronounced difference in the behaviour of the random algebraic polynomial on the interval (−1,1) compared with the intervals (−∞,−1) and (1,∞). …”
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Algebra Properties in Fourier-Besov Spaces and Their Applications by Xuhuan Zhou, Weiliang Xiao

“…As applications of these algebra properties, we establish the global well-posedness for small initial data and local well-posedness for large initial data of the generalized Navier-Stokes equations. …”
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On certain quasi-complemented and complemented Banach algebras by Pak-Ken Wong

Subjects: “…quasi-complemented and complemented Banach algebras.…”
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Constructions of L∞ Algebras and Their Field Theory Realizations by Olaf Hohm, Vladislav Kupriyanov, Dieter Lüst, Matthias Traube

“…We construct L∞ algebras for general “initial data” given by a vector space equipped with an antisymmetric bracket not necessarily satisfying the Jacobi identity. …”
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