Some Double Sequence Spaces of Fuzzy Real Numbers of Paranormed Type by Bipul Sarma

“…We study different properties of convergent, null, and bounded double sequence spaces of fuzzy real numbers like completeness, solidness, sequence algebra, symmetricity, convergence-free, and so forth. …”
Get full text

The Numerical Semigroup of Phrases' Lengths in a Simple Alphabet by Aureliano M. Robles-Pérez, José Carlos Rosales

Get full text

Deformations over non-commutative base by Kawamata, Yujiro

“…We describe the base algebra of semi-universal non-commutative deformations using vector spaces $T^1$ and $T^2$.…”
Get full text

Shifting and Variational Properties for Fourier-Feynman Transform and Convolution by Byoung Soo Kim

“…Shifting, scaling, modulation, and variational properties for Fourier-Feynman transform of functionals in a Banach algebra S are given. Cameron and Storvick's translation theorem can be obtained as a corollary of our result. …”
Get full text

Quasiminimal distal function space and its semigroup compactification by R. D. Pandian

“…The concept of right topological semigroup compactification is employed to study the algebra of quasiminimal distal functions. The universal mapping property of the quasiminimal distal compactification is obtained.…”
Get full text

Atomical Grothendieck categories by C. Năstăsescu, B. Torrecillas

Get full text

A Beurling-Helson type theorem for modulation spaces by Kasso A. Okoudjou

“…A special case of our result involving the Sjöstrand algebra was considered earlier by A. Boulkhemair.…”
Get full text

Problem-Solving Skills and Productive Struggle of Students in Solving Mathematical Problems in Elementary School by Rosiana Mufliva, Turmudi Turmudi, Tatang Herman, Sandi Budi Iriawan, Andhin Dyas Fitriani

“…The research is motivated by the need to gain a deeper understanding of students’ mathematical problem-solving abilities, particularly in algebra, and to identify and address the productive struggles the encounter while solving problems. …”
Get full text

On Defining Expressions for Entropy and Cross-Entropy: The Entropic Transreals and Their Fracterm Calculus by Jan A. Bergstra, John V. Tucker

“…In this resulting arithmetic, entropy, cross-entropy, Kullback–Leibler divergence, and Shannon divergence can be expressed without concerning any further conventions. The algebra may form a basis for probability theory more generally.…”
Get full text

Toy Models of a Nonassociative Quantum Mechanics by Vladimir Dzhunushaliev

“…The idea is discussed that a nonassociative algebra could be the operator language for the nonperturbative quantum theory. …”
Get full text

Sectional and Ricci Curvature for Three-Dimensional Lie Groups by Gerard Thompson, Giriraj Bhattarai

“…In each case the metric is reduced by using the automorphism group of the associated Lie algebra. In particular, the maximum and minimum values of the sectional curvature function are determined.…”
Get full text

Adventures in physics by Poénaru, Valentin

“…Specifically, we showed how the algebra of homotopy groups acted on the dynamics of defects.…”
Get full text

Graphs Generated by Measures by A. Assari, M. Rahimi

“…In this paper, a graph is assigned to any probability measure on the σ-algebra of Borel sets of a topological space. Using this construction, it is proved that given any number n (finite or infinite) there exists a nonregular graph such that its clique, chromatic, and dominating number equals n.…”
Get full text

Spatial numerical ranges of elements of subalgebras of C0(X) by Sin-Ei Takahasi

“…When A is a subalgebra of the commutative Banach algebra C0(X) of all continuous complex-valued functions on a locally compact Hausdorff space X, the spatial numerical range of element of A can be described in terms of positive measures.…”
Get full text

Geometric Characterization of the Numerical Range of Parallel Sum of Two Orthogonal Projections by Weiyan Yu, Ran Wang, Chen Zhang

“…Let H be a complex separable Hilbert space and BH be the algebra of all bounded linear operators from H to H. …”
Get full text

Editorial by Suporte GEPEM

“… Você tem em mãos o Boletim referente ao segundo semestre de 2010. O corte didático em Álgebra, o Ensino de Cálculo Diferencial e Integral e de Análise, o ensino  de  Função  na  Proposta  Curricular  do  Estado  de  São  Paulo,  os  números relativos,  a  medição  de  ângulos  mediante  dobraduras  em  papel  são  temáticas abordadas pelos articulistas, pesquisadores nacionais e internacionais. …”
Get full text

Diagrammatics for Soergel Categories by Ben Elias, Mikhail Khovanov

“…The monoidal category of Soergel bimodules can be thought of as a categorification of the Hecke algebra of a finite Weyl group. We present this category, when the Weyl group is the symmetric group, in the language of planar diagrams with local generators and local defining relations.…”
Get full text

Relational Demonic Fuzzy Refinement by Fairouz Tchier

“…We use relational algebra to define a refinement fuzzy order called demonic fuzzy refinement and also the associated fuzzy operators which are fuzzy demonic join (⊔fuz), fuzzy demonic meet (⊓fuz), and fuzzy demonic composition (□fuz). …”
Get full text

Hilbert Space Representations of Generalized Canonical Commutation Relations by Asao Arai

“…We consider Hilbert space representations of a generalization of canonical commutation relations , where 's are the elements of an algebra with identity , is the imaginary unit, and is a real number with antisymmetry . …”
Get full text

On compactness of lattices by Carmen D. Vlad

“…We denote by I(L) the set of those zero-one-valued nontrivial, finitely additive measures on A(L), the algebra generated by L, and we introduce other subsets of I(L). …”
Get full text