Results 1 to 10 of about 2,252 (212)

Twisted rational functions and series

, 1978
We study rings of twisted rational functions and twisted Laurent series over simple artinian rings. We determine the centers of such rings and investigate the structure of subalgebras of these rings.
Risman, Lawrence J.
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Rings with a finite set of nonnilpotents

, 1979
Let R be a ring and let N denote the set of nilpotent elements of R. Let n be a nonnegative integer. The ring R is called a θn-ring if the number of elements in R which are not in N is at most n. The following theorem is proved: If R is a θn-ring, then R
Adil Yaqub, Mohan S. Putcha
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Even order subgroups of finite dimensional division rings

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
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Regular division closed lattice-ordered rings

, 2019
We provide an example of a regular division closed commutative lattice ordered ring with identity element that is not an almost f-ring. It is also pointed out that regular division closed commutative lattice-ordered rings with the identity element are f ...
Ma, Jingjing
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Hyperdefinable groups and modularity [PDF]

, 2011
In this thesis is presented a study of groups of the form G/G^{00}, where G is a 1-dimensional, definably compact, definably connected, definable group in a saturated real closed field M, with respect to a notion called 1-basedness. In particular G will
Penazzi, Davide
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Differential Identities and Constants of Algebraic Automorphisms in Prime Rings

, 2007
This thesis focuses on differential identities and constants of algebraic automorphisms in prime rings. In Chapter 1 we prove that an algebra over a field with a finite dimensional maximal subalgebra must be finite dimensional.
劉崑山, Liu, Kun-Shan
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Simple artinian rings, hereditary rings and skew fields [PDF]

, 1984
In this dissertation, Cohn's methods for constructing skew fields from firs are extended to methods for constructing simple artinian rings from hereditary rings; the flexibility this gives is used in order to prove results about the skew field coproduct,
Schofield, Aidan Harry
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Dense Packings via Lifts of Codes to Division Rings

obtain algorithmically effective versions of the dense lattice sphere packings constructed from orders in Q-division rings by the first author. The lattices in question are lifts of suitable codes from prime characteristic to orders O in Q-division rings
Serban, Vlad, Gargava, Nihar
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Local zero estimates and effective division in rings of algebraic power series

, 2018
48 pagesInternational audienceWe give a necessary condition for algebraicity of finite modules over the ring of formal power series. This condition is given in terms of local zero estimates.
Rond, Guillaume
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$\rm NIP$, and ${\rm NTP}_2$ division rings of prime characteristic [PDF]

, 2019
Combining a characterisation by Bélair, Kaplan, Scanlon and Wagner of certain $\rm NIP$ valued fields of characteristic $p$ with Dickson's construction of cyclic algebras, we provide examples of noncommutative $\rm NIP$ division ring of characteristic ...
Milliet, Cédric
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