Results 71 to 80 of about 466,550 (225)
Algebraic Operations on Delta-Sigma Bit-Streams
Operations in the Delta-Sigma ( Δ Σ ) domain are a broad field of research. In this article the main, focus is on applications in control systems, nevertheless the results are generally applicable for Δ Σ -signal ...
Axel Klein, Walter Schumacher
doaj +1 more source
Vertex Lie algebras, vertex Poisson algebras and vertex algebras [PDF]
The notions of vertex Lie algebra and vertex Poisson algebra are presented and connections among vertex Lie algebras, vertex Poisson algebras and vertex algebras are discussed.
arxiv
From Tilings of Orientable Surfaces to Topological Interlocking Assemblies
A topological interlocking assembly (TIA) is an assembly of blocks together with a non-empty subset of blocks called the frame such that every non-empty set of blocks is kinematically constrained and can therefore not be removed from the assembly without
Reymond Akpanya+2 more
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Effect algebras with state operator [PDF]
State operators on convex effect algebras, in particular effect algebras of unital JC-algebras, JW-algebras and convex sigma-MV algebras are studied and their relations with conditional expectations in algebraic sense as well as in the sense of probability on MV-algebras are shown.
arxiv
A commognitive perspective on Grade 8 and Grade 9 learner thinking about linear equation
Concerns have been expressed that although learners may solve linear equations correctly they cannot draw on mathematically valid resources to explain their solutions or use their strategies in unfamiliar situations.
Anthea Roberts, Kate le Roux
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Hom-Akivis algebras are introduced. The commutator-Hom-associator algebra of a non-Hom-associative algebra (i.e. a Hom-nonassociative algebra) is a Hom-Akivis algebra. It is shown that non-Hom-associative algebras can be obtained from nonassociative algebras by twisting along algebra automorphisms while Hom-Akivis algebras can be obtained from Akivis ...
arxiv
A twisted generalization of Lie-Yamaguti algebras [PDF]
A twisted generalization of Lie-Yamaguti algebras, called Hom-Lie-Yamaguti algebras, is defined. Hom-Lie-Yamaguti algebras generalize Hom-Lie triple systems (and susequently ternary Hom-Nambu algebras) and Hom-Lie algebras in the same way as Lie-Yamaguti algebras generalize Lie triple systems and Lie algebras.
arxiv
Realizations of AF-algebras as graph algebras, Exel–Laca algebras, and ultragraph algebras
We give various necessary and sufficient conditions for an AF-algebra to be isomorphic to a graph C*-algebra, an Exel-Laca algebra, and an ultragraph C*-algebra. We also explore consequences of these results. In particular, we show that all stable AF-algebras are both graph C*-algebras and Exel-Laca algebras, and that all simple AF-algebras are either ...
Katsura, Takeshi+2 more
openaire +4 more sources
Chiral algebras, factorization algebras, and Borcherds's "singular commutative rings" approach to vertex algebras [PDF]
We recall Borcherds's approach to vertex algebras via "singular commutative rings", and introduce new examples of his constructions which we compare to vertex algebras, chiral algebras, and factorization algebras. We show that all vertex algebras (resp.
arxiv
On Associative Conformal Algebras of Linear Growth [PDF]
Lie conformal algebras appear in the theory of vertex algebras. Their relation is similar to that of Lie algebras and their universal enveloping algebras. Associative conformal algebras play a role in conformal representation theory. We introduce the notions of conformal identity and unital associative conformal algebras and classify finitely generated
arxiv