Results 21 to 30 of about 1,268,119 (187)
On commutativity of rings with some polynomial constraints [PDF]
Bulletin of the Australian Mathematical Society, 1990 Let R be an associative ring with unity 1, N(R) the set of nilpotents, J(R) the Jacobson radical of R and n > 1 be a fixed integer. We prove that R is commutative if and only if it satisfies (xy)n = ynxn for all x, y ∈ R \ N(R) and commutators in R are n(n + 1)-torsion free. Moreover, we extend the same result in the case when x, y ∈ R\J(R).
Ashraf, Mohd., Quadri, Murtaza A.
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Relative Commutator Theory in Semi-Abelian Categories [PDF]
, 2011 Basing ourselves on the concept of double central extension from categorical Galois theory, we study a notion of commutator which is defined relative to a birkhoff subcategory Beta of a semi-abelian category Alpha. This commutator characterises Janelidze
Everaert, Tomas, Van der Linden, Tim
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Commutativity of Rings with Constraints Involving a Subset [PDF]
Czechoslovak Mathematical Journal, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Ursini commutator as normalized Smith-Pedicchio commutator
, 2012 We introduce an intrinsic description of the Ursini commutator [Urs81, GU84] in any ideal determined category and we compare it with the Higgins and Huq commutators. After describing also the Smith-Pedicchio commutator by means of canonical arrows from a
S. Mantovani
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Commutativity of rings with contraints on nilpotents and nonnilpotents [PDF]
International Journal of Mathematics and Mathematical Sciences, 1989 Let R be a ring, N its set of nilpotent elements, and \(n>1\) a fixed positive integer. It is proved that R is commutative if it satisfies the following conditions: (i) N is commutative; (ii) \(x^ ny=xy^ n\) for all \(x,y\in R\setminus N\); (iii) if \(a\in N\), \(b\in R\) and \(n![a,b]=0\), then \([a,b]=0\). None of the three conditions can be deleted.
Mohamad Hasanali, Adil Yaqub
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Canonical commutator and mass renormalization [PDF]
, 1989 The question considered is the effect on the canonical commutation rules of mass renormalization in quantum electrodynamics. This is investigated by considering the quantum Langevin equation for a charged quantum oscillator interacting with the radiation
O'Connell, R. F. +2 more
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Commutator width in the first Grigorchuk group [PDF]
, 2022 Let G be the first Grigorchuk group. We show that the commutator width of G is 2: every element g∈[G,G] is a product of two commutators, and also of six conjugates of a.
Lysenok, Igor +2 more
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Commutator subgroup of Vershik–Kerov group [PDF]
, 2012 We describe a commutator subgroup of Vershik–Kerov group over an infinite field and find the bound for its commutator width. This gives a partial solution of the problem posed by Sushchanskii in 2010.
Gupta, Chander K. +3 more
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A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
Commutativity of rings with polynomial constraints [PDF]
Czechoslovak Mathematical Journal, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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