Results 31 to 40 of about 632,079 (166)
Localized direct material removal and deposition by nanoscale field emission scanning probes
Micro and Nano Engineering, 2022 The manufactory of advanced micro- and nanoscale devices relies on capable patterning strategies. Focused electron beams, as for instance implemented since long in electron beam lithography and electron beam induced deposition, are in this regard key ...
Martin Hofmann +3 more
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Journal of Algebra, 2008 Let \(G\) be an additive group (not necessarily Abelian) with identity \(0\). The set \(M_0(G)\) of all \(0\)-preserving functions from \(G\) to itself forms a near-ring under pointwise addition and composition of functions. If \(R\subseteq M_0(G)\) is a ring under these operations, then \(R\) is said to be a `subring' of \(M_0(G)\).
Cannon, G. Alan +2 more
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On Group Ring Automorphisms [PDF]
Algebras and Representation Theory, 2004 Let \(G\) be a finite group and \(R\) be a complete discrete valuation ring of characteristic \(0\). The authors study the group of those automorphisms \(\text{Outcent}(RG)\) of the group ring \(RG\) which fix the center of \(RG\) pointwise. As a main result of the paper the authors show that if \(B\) is a block of the group ring of \(G\) over the \(p\)
Hertweck, Martin, Nebe, Gabriele
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The Interplay of Biomimetics and Biomechatronics
Biomimetics, 2022 Biomechatronics is an engineering subject in which biomimetics as a method is one of its two supporting pillars: biology for engineering, or Bio4Eng. This is contrasted with biocompatible design, or Eng4Bio, examples of which are human-serving systems ...
Hartmut Witte
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Modules over group rings of groups with restrictions on the system of all proper subgroups [PDF]
International Journal of Group Theory, 2015 We consider the class M of R{modules where R is an associative ring. Let A be a module over a group ring RG, G be a group and let L(G) be the set of all proper subgroups of G. We suppose that if H 2 L(G) then A=CA(H) belongs to M. We study an RG{module A
Olga Dashkova
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On the non-existence of Abelian Moore Cayley graphs with excess one [PDF]
Discrete Mathematics Letters, 2021 Wei He
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Higher Power Polyadic Group Rings
AxiomsThis paper introduces and systematically develops the theory of polyadic group rings, a higher arity generalization of classical group rings.
Steven Duplij
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On some modules over group rings of locally soluble groups with rank restrictions on subgroups [PDF]
Математичні Студії, 2011 The author studies an $f R$$G$-module $A$ such that $f R$is an integral domain, $G$ is a locally soluble group ofinfinite section $p$-rank (or infinite 0-rank), $C_{G}(A)=1$,$A/C_{A}(G)$ is not a~noetherian $f R$-module, and for everyproper subgroup $H ...
O. Yu. Dashkova
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Secure Group Communications Using Twisted Group Rings
Mathematics, 2022 In this paper we introduce a Group Key Management protocol following the idea of the classical protocol that extends the well-known Diffie–Hellman key agreement to a group of users. The protocol is defined in a non-commutative setting, more precisely, in
María Dolores Gómez Olvera +2 more
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Journal of Pure and Applied Algebra, 2007 A ring \(R\) is said to be (i) `duo' if every one-sided ideal is two-sided, and (ii) `reversible' if whenever \(\alpha\beta=0\) for \(\alpha,\beta\in R\), then \(\beta\alpha=0\). The main result of this paper states that, for the group algebra \(KG\) of a torsion group \(G\) over a field \(K\), these two properties are equivalent.
Bell, Howard E., Li, Yuanlin
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