Results 21 to 30 of about 1,658 (196)

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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On the commutative algebra of categories [PDF]

Algebraic & Geometric Topology, 2018
51 pages; some proofs and notation clarified; this is the final version to appear in Algebraic and Geometric ...
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An algebraic model for commutative Hℤ–algebras [PDF]

Algebraic & Geometric Topology, 2017
We show that the homotopy category of commutative algebra spectra over the Eilenberg-Mac Lane spectrum of the integers is equivalent to the homotopy category of E-infinity-monoids in unbounded chain complexes. We do this by establishing a chain of Quillen equivalences between the corresponding model categories.
Richter, Birgit, Shipley, Brooke
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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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On commutativity of C*-algebras [PDF]

Glasgow Mathematical Journal, 1987
Two numerical characterizations of commutativity for C*-algebra (acting on the Hilbert space H) were given in [1]; one used the norms of self-adjoint operators in (Theorem 2), and the other the numerical index of (Theorem 3). In both cases the proofs were based on the result of Kaplansky which states that if the only nilpotent operator in is 0 ...
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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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The commuting algebra

Journal of Pure and Applied Algebra
Let $KQ$ 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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On the deformation of commutative algebras [PDF]

Transactions of the American Mathematical Society, 1969
Introduction. Given a field k and a k-algebra A, Gerstenhaber has introduced the concept of a deformation of A [8] which is a k[[t]]-algebra structure on the module A[[t]]. One of the main problems of the theory of deformations is to determine those algebras for which the only deformation (modulo an equivalence relation) is the usual k[[t]]-algebra ...
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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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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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