Results 11 to 20 of about 24,623 (305)
Fostering Formal Commutativity Knowledge with Approximate Arithmetic.
PLoS ONE, 2015 How can we enhance the understanding of abstract mathematical principles in elementary school? Different studies found out that nonsymbolic estimation could foster subsequent exact number processing and simple arithmetic.
Sonja Maria Hansen +5 more
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Writing commutators of commutators as products of cubes [PDF]
Communications in Algebra, 2021 It is known that commutators of commutators can be written as products of cubes, with the current upper bound on the number of cubes being 60. We discuss how proofs extracted via coset enumeration can be used to investigate this problem, and exhibit a rewriting using only 14 cubes.
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Operators with commutative commutants.
Michigan Mathematical Journal, 1988 Given operators M and N on a Hilbert space H, suppose that M (resp. N) is the direct sum of k (resp. n) copies of an operator A having a commutative commutant. Suppose further that m and k are countable cardinalities (or, any cardinalities if H is separable) and that N is a quasi-affine transform of M (i.e., \(NX=XM\) for some injective operator X with
Radjabalipour, M., Radjavi, H.
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Commutativity of rings with polynomial constraints [PDF]
, 2002 summary:Let $p$, $ q$ and $r$ be fixed non-negative integers. In this note, it is shown that if $R$ is left (right) $s$-unital ring satisfying $[f(x^py^q) - x^ry, x] = 0$ ($[f(x^py^q) - yx^r, x] = 0$, respectively) where $f(\lambda ) \in {\lambda }^2 ...
Khan, Moharram A.
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Commutativity of rings through a Streb’s result [PDF]
, 2000 summary:In this paper we investigate commutativity of rings with unity satisfying any one of the properties: \[ \begin{aligned} &\lbrace 1- g(yx^{m}) \rbrace \ [yx^{m} - x^{r} f (yx^{m}) \ x^s, x] \lbrace 1- h (yx^{m}) \rbrace = 0, \\&\lbrace 1- g(yx^{m})
Khan, Moharram A.
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Properties of the commutators of some elements of linear groups over divisions rings
Математичні Студії, 2020 Inclusions resulting from the commutativity of elements and their commutators with trans\-vections in the language of residual and fixed submodules are found.
V. M. Petechuk, Yu. V. Petechuk
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Commutativity degree of crossed modules
, 2022 In this work, we define the notion of commutativity degree of crossed modules and find some bounds on commutativity degree for special types of crossed modules.
Ilgaz Caglayan, Elif +2 more
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Culture and Commutativity [PDF]
, 2022 The extent to which people can infer new mathematical concepts in the absence of cultural support is not clear. We test such learning with a simple math concept: additive commutativity.
Piantadosi, Steven, Boni, Isabelle
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On subpolygroup commutativity degree of finite polygroups [PDF]
, 2023 Probabilistic group theory is concerned with the probability of group elements or group subgroups satisfying certain conditions. On the other hand, a polygroup is a generalization of a group and a special case of a hypergroup.
Al Tahan, M. +3 more
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On strong commutativity-preserving maps [PDF]
, 2004 We identify some strong commutativity-preserving maps on semiprime rings. Among other results, we prove the following. (i) A centralizing homomorphism f of a semiprime ring R onto itself is strong commutativity preserving. (ii) A centralizing antihomomor-
M. S. Samman
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