Results 11 to 20 of about 4,883,255 (194)
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
core +5 more sources
Almost cohomology of finite-dimensional Lie rings
We introduce almost cohomology groups for Lie rings definable in finite-dimensional theory. In particular, we define the 0th and 1st almost cohomology groups of a Lie ring module.
Invitti, Moreno
core +8 more sources
Unramified representations of reductive groups over finite rings [PDF]
, 2009 Lusztig has given a construction of certain representations of reductive groups over finite local principal ideal rings of characteristic p, extending the construction of Deligne and Lusztig of representations of reductive groups over finite fields.
Stasinski, Alexander
core +1 more source
Even order subgroups of finite dimensional division rings [PDF]
Let K be a field, and G a finite group. G is said to be K-adequate if there exists a division ring D, finite dimensional over K, and with center K, such that G is contained in the multiplicative group of nonzero elements of D.
Greenfield, Gary Robert
core +4 more sources
Finite dimensional rings of quotients [PDF]
, 1993 In this paper we characterize commutative rings with finite dimensional classical ring of quotients. To illustrate the diversity of behavior of these rings we examine the case of local rings and FPF rings.
H. L. Hutson, Hutson, H. L.
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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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, 2017 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 +3 more
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, 1980 Herein it is shown that the set of right powers of a generic element of a finite division ring contains a basis of the ring as an algebra over a prime field.
Robert H. Oehmke
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Division rings whose vector spaces are pseudofinite
, 2010 Vector spaces over fields are pseudofinite, and this remains true for vector spaces over division rings that are finite-dimensional over their center. We also construct a division ring such that the nontrivial vector spaces over it are not pseudofinite ...
Vinicius Cifú Lopes, Lou van den Dries
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