Results 21 to 30 of about 36,842 (268)
The structure of algebraic Baer ∗-algebras
The purpose of this note is to describe when a general complex algebraic $^*$-algebra is pre-$C^*$-normed, and to investigate their structure when the $^*$-algebras are Baer $^*$-rings in addition to algebraicity. As a main result we prove the following theorem for complex algebraic Baer $^*$-algebras: every $^*$-algebra of this kind can be decomposed ...
Szűcs, Zsolt, Takács, Balázs
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On the multiplicative group generated by {[√2 n]/n | n∈ℕ}. V [PDF]
Let f,g be completely multiplicative functions, |f(n)|=|g(n)|=1 (n∈ℕ). Assume that 1/logxΣₙ≤ₓ |g([√2n])-Cf(n)| / n →0 (x→∞). Then f(n)=g(n)=n^{iτ}, C=(√2)^{τ}, τ∈ℝ.
I. Kátai, B. M. Phong
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Filtered algebraic algebras [PDF]
Small and Zelmanov posed the question whether every element of a graded algebra over an uncountable field must be nilpotent, provided that the homogeneous elements are nilpotent. This question has recently been answered in the negative by Smoktunowicz.
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Nijenhuis algebras, NS algebras, and N-dendriform algebras [PDF]
arXiv admin note: text overlap with arXiv:math ...
Lei, Peng, Guo, Li
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Program Algebra over an Algebra [PDF]
Summary We introduce an algebra with free variables, an algebra with undefined values, a program algebra over a term algebra, an algebra with integers, and an algebra with arrays. Program algebra is defined as universal algebra with assignments. Programs depend on the set of generators with supporting variables and supporting terms which determine ...
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Self-Dual Normal Basis of a Galois Ring
Let R′=GR(ps,psml) and R=GR(ps,psm) be two Galois rings. In this paper, we show how to construct normal basis in the extension of Galois rings, and we also define weakly self-dual normal basis and self-dual normal basis for R′ over R, where R′ is ...
Irwansyah +3 more
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Purpose – This paper examines demographic (generation, gender) and psychological (sustainability knowledge, environmentalism, disgust sensitivity) drivers of purchase intention for apparel made from recycled plastic.
Nikola Drašković +2 more
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Cohomology of Presheaves of Monoids
The purpose of this work is to extend Leech cohomology for monoids (and so Eilenberg-Mac Lane cohomology of groups) to presheaves of monoids on an arbitrary small category.
Pilar Carrasco, Antonio M. Cegarra
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A new model of the free monogenic digroup
It is well-known that one of open problems in the theory of Leibniz algebras is to find a suitable generalization of Lie’s third theorem which associates a (local) Lie group to any Lie algebra, real or complex. It turns out, this is related to finding an
Yu. V. Zhuchok, G. F. Pilz
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Recent advancements in cognitive neuroscience, particularly in electroencephalogram (EEG) signal processing, image generation, and brain–computer interfaces (BCIs), have opened up new avenues for research.
Mateo Sokač +3 more
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