Results 11 to 20 of about 2,252 (212)
Valuation rings in finite-dimensional division algebras
Journal of Algebra, 1989 By a valuation ring in a division algebra \(D\) the authors understand a subring containing for each \(x\) in \(D\) either \(x\) or \(x^{-1}\). Let \(D\) be a division algebra of dimension \(n^ 2\) over its centre \(K\) and let \(B\) be a valuation ring in \(K\).
Brungs, H.H, Gräter, Joachim
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Finite Dimensional Subalgebras in Matrix Rings Over Transcendental Division Algebras [PDF]
Proceedings of the American Mathematical Society, 1989 We prove in this article that for some classes of division algebras D D over a field
Lichtman, A. I., Wehrfritz, B. A. F.
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Creation of Low-Loss Triple-Ring Optical Filter via Direct Binary Search Inverse Design [PDF]
SensorsThis paper presents a triple-ring optical filter designed through direct binary search inverse design, comprising three cascaded rings in an add–drop configuration.
Yuchen Hu, Tong Wang, Wen Zhou, Bo Hu
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Even-order subgroups of finite-dimensional division rings
Journal of Algebra, 1977 Let K be a field. A finite group G is called K-adequate if there exists a K-division ring D (a finite-dimensional division algebra central over K) such that G is contained in D*, the multiplicative group of nonzero elements of D. Fein and Schacher have investigated the problem of determining for which fields K there exists a noncyclic group of odd ...
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Strictly minimal fuzzy neighborhood division rings
Fuzzy Sets and Systems, 1996 The aim of this article is, on the one hand, to determine suitable classes of fuzzy neighborhood division rings that can be used as scalar domains for linear fuzzy neighborhood spaces, so as to accommodate: 1.
T M G Ahsanullah
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, 2002 Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and ...
Vasantha, Kandasamy
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, 2006 In this book we define the new notion of neutrosophic rings. The motivation for this study is two-fold. Firstly, the classes of neutrosophic rings defined in this book are generalization of the two well-known classes of rings: group rings and semigroup ...
Vasantha, Kandasamy +2 more
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, 2018 Any superrosy division ring is shown to be centrally finite. Furthermore, division rings satisfying a generalized chain condition on definable subgroups are studied.
Hempel, Nadja, Palacín Cruz, Daniel
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A combinatorial discussion on finite dimensional leavitt path algebras [PDF]
, 2014 Any finite dimensional semisimple algebra A over a field K is isomorphic to a direct sum of finite dimensional full matrix rings over suitable division rings. We shall consider the direct sum of finite dimensional full matrix rings over a field K.
S. Esin +8 more
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Golod-Shafarevich algebras, free subalgebras and Noetherian images [PDF]
, 2012 It is shown that Golod–Shafarevich algebras of a reduced number of defining relations contain noncommutative free subalgebras in two generators, and that these algebras can be homomorphically mapped onto prime, Noetherian algebras with linear growth.
Agata Smoktunowicz, Smoktunowicz, Agata
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