Results 161 to 170 of about 9,880 (202)

Commutators in BCI-algebras

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, Arsham Borumand Saeid, Esfandiar Eslami   +2 more
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On Non-Commutative Algebras and Commutativity Conditions

Results in Mathematics, 1990
A 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, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michal Botur, Radomír Halas
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Commutative algebra and computer algebra

1982
Our 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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Algebra and Commutant

1992
Richard Kadison, John Ringrose
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Algebraic Geometry and Commutative Algebra

Universitext, 2022
Siegfried Bosch
exaly  

Commutative algebra. II

These are the notes of the author's course ``Kommutative Algebra. II'', which were preceded by part I published in the foregoing issue of the same series (cf. review above). This set of lectures deals with the homological aspects of the theory of commutative rings and modules, the ultimate goal being the structure theory of Cohen-Macaulay rings and ...
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(Mostly) Commutative Algebra

Universitext, 2021
Antoine Chambert-Loir
exaly  

Introduction to Commutative Algebra

2018
Michael Francis Atiyah, I. G. MacDonald
openaire   +1 more source

A commutative algebra on degenerate CP1 and Macdonald polynomials

Journal of Mathematical Physics, 2009
B Feigin, J Shiraishi, Feigin B
exaly