Results 41 to 50 of about 30,021 (207)
Automorphisms and derivations of upper triangular matrix rings [PDF]
, 1995 Kezlan proved that for a commutative ring C, every C-automorphism of the ring of upper triangular matrices over C is inner. We generalize this result to rings in which all idempotents are central; moreover we show that for a semiprime ring A and central ...
Jøndrup, S.
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On central commutator Galois extensions of rings
International Journal of Mathematics and Mathematical Sciences, 2000 Let B be a ring with 1, G a finite automorphism group of B of order n for some integer n, BG the set of elements in B fixed under each element in G, and Δ=VB(BG) the commutator subring of BG in B.
George Szeto, Lianyong Xue
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Classification of harmonic homomorphisms between Riemannian three-dimensional unimodular Lie groups [PDF]
Arab Journal of Mathematical SciencesPurpose – The purpose of this study is to classify harmonic homomorphisms ϕ : (G, g) → (H, h), where G, H are connected and simply connected three-dimensional unimodular Lie groups and g, h are left-invariant Riemannian metrics.
Zagane Abdelkader +2 more
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A symplectic fission scheme for the association scheme of rectangular matrices and its automorphisms
AIMS MathematicsIn this paper, a symplectic fission scheme for the association scheme of $ m\times n $ rectangular matrices over the finite field $ \mathbb{F}_q $, denoted by $ {\rm{SMat}}(m\times n, q) $, is constructed, where $ q $ is a power of a prime number.
Yang Zhang , Shuxia Liu, Liwei Zeng
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Skew group rings which are Galois
International Journal of Mathematics and Mathematical Sciences, 2000 Let S*G be a skew group ring of a finite group G over a ring S. It is shown that if S*G is an G′-Galois extension of (S*G)G′, where G′ is the inner automorphism group of S*G induced by the elements in G, then S is a G-Galois extension of SG.
George Szeto, Lianyong Xue
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On Galois projective group rings
International Journal of Mathematics and Mathematical Sciences, 1991 Let A be a ring with 1, C the center of A and G′ an inner automorphism group of A induced by {Uα in A/α in a finite group G whose order is invertible}.
George Szeto, Linjun Ma
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On finite $p$-groups whose automorphisms are all central
, 2011 An automorphism $\alpha$ of a group $G$ is said to be central if $\alpha$ commutes with every inner automorphism of $G$. We construct a family of non-special finite $p$-groups having abelian automorphism groups. These groups provide counter examples to a
A. Jamali +21 more
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On the Root-class Residuality of HNN-extensions of Groups
Моделирование и анализ информационных систем, 2014 Let K be an arbitrary root class of groups. This means that K contains at least one non-unit group, is closed under taking subgroups and direct products of a finite number of factors and satisfies the Gruenberg condition: if 1 ≤ Z ≤ Y ≤ X is a subnormal ...
E. A. Tumanova
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Inner automorphisms of von Neumann algebras [PDF]
Communications in Mathematical Physics, 1974 It is first shown that a *-automorphism of a factor is inner if and only if it is asymptotically equal to the identity automorphism. Then it is shown that a periodic *-automorphism of a von Neumann algebra ℛ is inner if and only if its fixed point algebra is a normal subalgebra of ℛ.
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The Ext class of an approximately inner automorphism [PDF]
Transactions of the American Mathematical Society, 1998 Summary: Let \(A\) be a simple unital \(A\mathbf{T}\) algebra of real rank zero. It is shown below that the range of the natural map from the approximately inner automorphism group to \(KK(A, A)\) coincides with the kernel of the map \(KK(A, A) \rightarrow \bigoplus_{i=0}^{1} \Hom(K_i(A), K_i(A))\).
Akitaka Kishimoto, Alex Kumjian
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