Kato-Taussky-Wielandt commutator relations
نویسندگان
چکیده
منابع مشابه
Towards Commutator Theory for Relations
In a general algebraic setting, we state some properties of commutators of reflexive admissible relations. After commutator theory in Universal Algebra has been discovered about thirty years ago [12], many important results and applications have been found. An introduction to commutator theory for congruence modular varieties can be found in [2] and [3]. Shortly after, results valid for larger ...
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We derive consequences from the existence of a term which satisfies Mal’cev identities (characterizing permutability) modulo two functions F and G from admissible relations to admissible relations. We also provide characterizations of varieties having a Mal’cev term modulo F and G. Given an algebra A, let Adm(A) denote the set of all reflexive and admissible relations on A (we shall use the wor...
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We provide more characterizations of varieties having a term Mal’cev modulo two functions F and G. We characterize varieties neutral in the sense of F , that is varieties satisfying R ⊆ F (R). We present examples of global operators satisfying the homomorphism property, in particular we show that many known commutators satisfy the homomorphism property. See Parts I-III [2] for unexplained notat...
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Let G be a finite p-group. We prove that whenever the commuting probability of G is greater than (2p2 + p− 2)/p5, the unramified Brauer group of the field of G-invariant functions is trivial. Equivalently, all relations between commutators in G are consequences of some universal ones. The bound is best possible, and gives a global lower bound of 1/4 for all finite groups. The result is attained...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1968
ISSN: 0024-3795
DOI: 10.1016/0024-3795(68)90053-0