Algebraic Properties of Bihyperbolic Numbers
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-019-1036-2
Abstract: In this paper, we study the four-dimensional real algebra of bihyperbolic numbers. Under consideration of the spectral representation of the bihyperbolic numbers, we give a partial order of bihyperbolic numbers which allows us to obtain… read more here.
Keywords: algebraic properties; properties bihyperbolic; bihyperbolic numbers;
Algebraic Properties of Cores of Generalized Neurofunctions
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DOI: 10.1007/s10559-018-0090-4
Abstract: This paper considers generalized neural elements and identifies the conditions for implementation of functions of algebra of logic from these elements. We introduce the concept of a modified core of Boolean functions with respect to… read more here.
Keywords: cores generalized; algebraic properties; properties cores; generalized neural ... See more keywords
Algebraic Properties of Toeplitz Operators on the Symmetrized Polydisk
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DOI: 10.1007/s11785-021-01108-4
Abstract: This paper is an effort to continue the legacy of the classically successful theory of Toeplitz operators on the Hardy space over the unit disk to a new domain in $${\mathbb {C}}^d$$ C d —the… read more here.
Keywords: symmetrized polydisk; algebraic properties; toeplitz; properties toeplitz ... See more keywords
Quasi-cyclic codes: algebraic properties and applications
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DOI: 10.1007/s40314-020-1120-1
Abstract: In this paper, we provide criteria for the reversibility and conjugate-reversibility of 1-generator quasi-cyclic codes. The Chinese remainder theorem is used to provide a characterization for generalized quasi-cyclic codes to be Galois linear complementary-dual and… read more here.
Keywords: algebraic properties; codes algebraic; properties applications; cyclic codes ... See more keywords
Algebraic Properties of Edge Ideals and Cover Ideals of Unbalanced Crown Graphs
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DOI: 10.1007/s41980-021-00560-4
Abstract: In this paper, we introduce the unbalanced crown graphs $${\mathcal {C}}_{m,n}$$ , and compute all graded Betti numbers of edge ideals of these graphs in terms of associated numerical data. As a consequence, we determine… read more here.
Keywords: edge ideals; crown graphs; algebraic properties; unbalanced crown ... See more keywords
Algebraic properties of some factor rings of C(X)
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DOI: 10.1016/j.topol.2017.05.009
Abstract: Abstract In F. Azarpanah et al. (2008) [3] the authors have given some algebraic properties of the ring C ( X ) / C F ( X ) , where C F ( X )… read more here.
Keywords: algebraic properties; factor rings; topology; properties factor ... See more keywords
Algebraic properties of toric rings of graphs
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DOI: 10.1080/00927872.2018.1439047
Abstract: Abstract Let be a simple graph. We investigate the Cohen–Macaulayness and algebraic invariants, such as the Castelnuovo-Mumford regularity and the projective dimension, of the toric ring k[G] via those of toric rings associated to induced… read more here.
Keywords: toric rings; algebraic properties; rings graphs; properties toric ... See more keywords
Some Algebraic Properties of a Class of Integral Graphs Determined by Their Spectrum
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DOI: 10.1155/2021/6632206
Abstract: Let $\Gamma=(V,E)$ be a graph. If all the eigenvalues of the adjacency matrix of the graph $\Gamma$ are integers, then we say that $\Gamma$ is an integral graph. A graph $\Gamma$ is determined by its… read more here.
Keywords: properties class; algebraic properties; graph gamma; determined spectrum ... See more keywords
Topological and algebraic properties of universal groups for right-angled buildings
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DOI: 10.1515/forum-2020-0071
Abstract: Abstract We study universal groups for right-angled buildings. Inspired by Simon Smith’s work on universal groups for trees, we explicitly allow local groups that are not necessarily finite nor transitive. We discuss various topological and… read more here.
Keywords: algebraic properties; topological algebraic; right angled; universal groups ... See more keywords