Results 121 to 130 of about 8,427,358 (293)
Commutators of Sylow subgroups of alternating and symmetric groups, commutator width in the wreath product of groups [PDF]
Skuratovskii R The commutator of Sylow 2-subgroups of alternating
and symmetric group. Algebraic Groups and Invariant Theory. Samara, Russia.
(2018). pp. 42-43, 2018 This paper investigate bounds of the commutator width \cite {Mur} of a wreath product of two groups. The commutator width of direct limit of wreath product of cyclic groups are found. For given a permutational wreath product sequence of cyclic groups we investigate its commutator width and some properties of its commutator subgroup. It was proven
arxiv
Additive property of Drazin invertibility of elements in a ring
, 2012 In this article, we investigate additive properties on the Drazin inverse of elements in rings. Under the commutative condition of ab = ba, we show that a + b is Drazin invertible if and only if 1 + a D b is Drazin invertible.
Guifen Zhuang +3 more
semanticscholar +1 more source
Noûs, EarlyView.Abstract Expected utility theory often falls silent, even in cases where the correct rankings of options seems obvious. For instance, it fails to compare the Pasadena game to the Altadena game, despite the latter turning out better in every state. Decision theorists have attempted to fill these silences by proposing various extensions to expected ...
Hayden Wilkinson
wiley +1 more source
An Introduction to i-Commutative Rings
MathematicsIn this paper, we introduce a new class of rings, called i-commutative rings, by extending the concept of commutative-like rings using idempotent elements.
Muhammad Saad +3 more
doaj +1 more source
Well-centered Overrings of a Commutative Ring in Pullbacks and Trivial Extensions [PDF]
arXiv, 2009 Let $R$ be a commutative ring with identity and $T(R)$ its total quotient ring. We extend the notion of well-centered overring of an integral domain to an arbitrary commutative ring and we investigate the transfer of this property to different extensions of commutative rings in both integral and non-integral cases.
arxiv
A combinatorial commutativity property for rings [PDF]
, 2002 Howard E. Bell, Abraham A. Klein
openalex +1 more source
Where Mathematical Symbols Come From
Topics in Cognitive Science, EarlyView.Abstract There is a sense in which the symbols used in mathematical expressions and formulas are arbitrary. After all, arithmetic would be no different if we would replace the symbols ‘+$+$’ or ‘8’ by different symbols. Nevertheless, the shape of many mathematical symbols is in fact well motivated in practice.
Dirk Schlimm
wiley +1 more source
Encoding Phases using Commutativity and Non-commutativity in a Logical Framework [PDF]
arXiv, 2011 This article presents an extension of Minimalist Categorial Gram- mars (MCG) to encode Chomsky's phases. These grammars are based on Par- tially Commutative Logic (PCL) and encode properties of Minimalist Grammars (MG) of Stabler. The first implementation of MCG were using both non- commutative properties (to respect the linear word order in an ...
arxiv
Equality of skew Schur functions in noncommuting variables
Bulletin of the London Mathematical Society, EarlyView.Abstract The question of classifying when two skew Schur functions are equal is a substantial open problem, which remains unsolved for over a century. In 2022, Aliniaeifard, Li, and van Willigenburg introduced skew Schur functions in noncommuting variables, s(δ,D)$s_{(\delta,\mathcal {D})}$, where D$\mathcal {D}$ is a connected skew diagram with n$n ...
Emma Yu Jin, Stephanie van Willigenburg
wiley +1 more source
The Hilton–Milnor theorem in higher topoi
Bulletin of the London Mathematical Society, EarlyView.Abstract In this note, we show that the classical theorem of Hilton–Milnor on finite wedges of suspension spaces remains valid in an arbitrary ∞$\infty$‐topos. Our result relies on a version of James' splitting proved in [Devalapurkar and Haine, Doc. Math.
Samuel Lavenir
wiley +1 more source