Results 21 to 30 of about 143,581 (207)

Some Equivalence Relations and Results over the Commutative Quaternions and Their Matrices

open access: yesAnalele 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
doaj   +1 more source

Semidegenerate Congruence-modular Algebras Admitting a Reticulation

open access: yesScientific 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
doaj   +1 more source

Relation Between Be-Algebras and G-Hilbert Algebras

open access: yesDiscussiones 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
doaj   +1 more source

CQ *-algebras of measurable operators

open access: yesMoroccan Journal of Pure and Applied Analysis, 2022
We study, from a quite general point of view, a CQ*-algebra (X, đť–€0) 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
doaj   +1 more source

Generalized shuffles related to Nijenhuis and TD-algebras

open access: yes, 2008
Shuffle and quasi-shuffle products are well-known in the mathematics literature. They are intimately related to Loday's dendriform algebras, and were extensively used to give explicit constructions of free commutative Rota-Baxter algebras.
Aguiar M.   +15 more
core   +2 more sources

Non-commutative probability and non-commutative processes

open access: yes, 2019
A probability space is a pair ($\mathcal{A},\phi $) where $\mathcal{A}$ is an algebra and $\phi $ a state on the algebra. In classical probability $\mathcal{A}$ is the algebra of linear combinations of indicator functions on the sample space and in ...
Mendes, R. Vilela
core   +1 more source

The commuting algebra

open access: yesJournal 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
openaire   +3 more sources

G_(α,β) Antagonistic Intuitionistic Fuzzy Sub Commutative Ideals of Subtraction G-Algebra

open access: yesRatio 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
doaj   +1 more source

A somewhat gentle introduction to differential graded commutative algebra

open access: yes, 2013
Differential graded (DG) commutative algebra provides powerful techniques for proving theorems about modules over commutative rings. These notes are a somewhat colloquial introduction to these techniques.
Beck, Kristen A., Sather-Wagstaff, Sean
core   +1 more source

On some classes of BCH-algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
The concept of a BCH-algebra is a generalization of the concept of a BCI-algebra. It is shown that weakly commutative BCH-algebras are weakly commutative BCI-algebras.
Muhammad Anwar Chaudhry   +1 more
doaj   +1 more source

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