Results 151 to 160 of about 1,658 (196)
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On the commutator in Leibniz algebras
International Journal of Algebra and Computation, 2022We prove that the class of algebras embeddable into Leibniz algebras with respect to the commutator product is not a variety. It is shown that every commutative metabelain algebra is embeddable into Leibniz algebras with respect to the anti-commutator. Furthermore, we study polynomial identities satisfied by the commutator in every Leibniz algebra. We
A. S. Dzhumadil'daev +2 more
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Combinatorial Commutative Algebra
Oberwolfach Reports, 2005There has been very fruitful interaction between the fields of Combinatorics and Commutative Algebra since the 70's [1, 2, 3, 4]. Notably, there has been a surge in interest and research during the last 8 years: a great variety of new ideas and techniques were introduced, and substantial progress was made.
Irena Peeva, Volkmar Welker
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On the commutativity of C* -algebras
manuscripta mathematica, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jeang, Jyh-Shyang, Ko, Chun-Chieh
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Journal of Intelligent & Fuzzy Systems, 2016
In this paper, the notions of commutators and pseudo commutators of elements (subsets) of a BCI-algebra are introduced and some properties are given. The concept of solvable BCI-algebras are also discussed and their properties are investigated. It is proved that the class of solvable BCI-algebras is closed under sub-algebra, cartesian product and ...
Ardavan Najafi +2 more
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In this paper, the notions of commutators and pseudo commutators of elements (subsets) of a BCI-algebra are introduced and some properties are given. The concept of solvable BCI-algebras are also discussed and their properties are investigated. It is proved that the class of solvable BCI-algebras is closed under sub-algebra, cartesian product and ...
Ardavan Najafi +2 more
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On Non-Commutative Algebras and Commutativity Conditions
Results in Mathematics, 1990A theorem of T. Nakayama states that an algebra \(A\) over an \({\mathcal N}\)- ring \(R\) is commutative if \(A\) satisfies the following condition: (N) For each \(x\) in \(A\), there exists \(f(X)\) in \(X^ 2 R[X]\) such that \(x-f(x)\) is central. More generally, W. Streb studied \(R\)-algebras \(A\) satisfying the following condition: (S) For each \
Komatsu, Hiroaki, Tominaga, Hisao
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Complete Commutative Basic Algebras
Order, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michal Botur, RadomÃr Halas
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Commutative algebra and computer algebra
1982Our aim is to make this link more precise. It will appear that most of the constructions which appear in classical commutative algebra can be done explicitely in finite time. However, there are exceptions. Moreover, most of known algorithms are intractable : The problems are generally exponential by themselves, but many algorithms are over-over ...
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1971
This introduction to commutative algebra gives an account of some general properties of rings and modules, with their applications to number theory and geometry. It assumes only that the reader has completed an undergraduate algebra course. The fresh approach and simplicity of proof enable a large amount of material to be covered; exercises and ...
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This introduction to commutative algebra gives an account of some general properties of rings and modules, with their applications to number theory and geometry. It assumes only that the reader has completed an undergraduate algebra course. The fresh approach and simplicity of proof enable a large amount of material to be covered; exercises and ...
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