Results 21 to 30 of about 146,627 (253)
Real Gel'fand-Mazur division algebras
International Journal of Mathematics and Mathematical Sciences, 2003 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 ...
Mati Abel, Olga Panova
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Some Equivalence Relations and Results over the Commutative Quaternions and Their Matrices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this paper, we give some equivalence relations and results over the commutative quaternions and their matrices. In this sense, consimilarity, semisimilarity, and consemisimilarity over the commutative quaternion algebra and commutative quaternion ...
Kosal Hidayet Huda, Tosun Murat
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Branchwise solid generalized BCH-algebras
AIMS Mathematics, 2020 In this paper, we investigate an equivalent condition for a branchwise strongly solid gBCH-algebra to be branchwise commutative. Moreover, we show that a branchwise strongly solid gBCH-algebra is both branchwise commutative and branchwise positive ...
Muhammad Anwar Chaudhry +4 more
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Semidegenerate Congruence-modular Algebras Admitting a Reticulation
Scientific Annals of Computer Science, 2023 The reticulation L(R) of a commutative ring R was introduced by Joyal in 1975, then the theory was developed by Simmons in a remarkable paper published in 1980. L(R) is a bounded distributive algebra whose main property is that the Zariski prime
George Georgescu
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Relation Between Be-Algebras and G-Hilbert Algebras
Discussiones Mathematicae - General Algebra and Applications, 2018 Hilbert algebras are important tools for certain investigations in algebraic logic since they can be considered as fragments of any propositional logic containing a logical connective implication and the constant 1 which is considered as the logical ...
Rezaei Akbar, Saeid Arsham Borumand
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CQ *-algebras of measurable operators
Moroccan Journal of Pure and Applied Analysis, 2022 We study, from a quite general point of view, a CQ*-algebra (X, 𝖀0) possessing a sufficient family of bounded positive tracial sesquilinear forms. Non-commutative L2-spaces are shown to constitute examples of a class of CQ*-algebras and any abstract CQ ...
Triolo Salvatore
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Journal of Pure and Applied AlgebraLet $KQ$ be a path algebra, where $Q$ is a finite quiver and $K$ is a field. We study $KQ/C$ where $C$ is the two-sided ideal in $KQ$ generated by all differences of parallel paths in $Q$. We show that $KQ/C$ is always finite dimensional and its global dimension is finite.
Edward L. Green, Sibylle Schroll
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G_(α,β) Antagonistic Intuitionistic Fuzzy Sub Commutative Ideals of Subtraction G-Algebra
Ratio Mathematica, 2022 The notions of over antagonistic intuitionistic fuzzy sub commutative ideals of subtraction G-algebras are introduced. The characterization properties of antagonistic intuitionistic fuzzy sub commutative ideals are obtained. We investigate the relations
B Lena, C Ragavan
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Quantization maps, algebra representation and non-commutative Fourier transform for Lie groups
, 2013 The phase space given by the cotangent bundle of a Lie group appears in the context of several models for physical systems. A representation for the quantum system in terms of non-commutative functions on the (dual) Lie algebra, and a generalized notion ...
Guedes, Carlos +2 more
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Composition-Diamond Lemma for Non-associative Algebras over a Commutative Algebra [PDF]
, 2010 We establish the Composition-Diamond lemma for non-associative algebras over a free commutative algebra. As an application, we prove that every countably generated non-associative algebra over an arbitrary commutative algebra $K$ can be embedded into a ...
Chen, Yuqun, Li, Jing, Zeng, Mingjun
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