Results 91 to 100 of about 425,305 (133)

Finite rank perturbations of contractions

Integral Equations and Operator Theory, 2000
Let \(T\) be a contraction on an infinite-dimensional complex Hilbert space with finite-dimensional defect spaces \(D_T\) and \(D_{T^*}\). Assume that \(T^{*n}x\to 0\) for any \(x\in H\). \(T\) is then said to be of class \(C_0\). The author studies finite rank perturbations of contractions of class \(C_0\).
Benhida, Chafiq, Timotin, Dan
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Groups with Finitely Many Homomorphic Images of Finite Rank

Algebra Colloquium, 2016
A group is called a Černikov group if it is abelian-by-finite and satisfies the minimal condition on subgroups. A new characterization of Černikov groups is given here, by proving that in a suitable large class of generalised soluble groups they coincide with the groups having only finitely many homomorphic images of finite rank (up to isomorphisms ...
de Giovanni F., Russo A.
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Residually finite groups of finite rank

Mathematical Proceedings of the Cambridge Philosophical Society, 1989
The recent constructions, by Rips and Olshanskii, of infinite groups with all proper subgroups of prime order, and similar ‘monsters’, show that even under the imposition of apparently very strong finiteness conditions, the structure of infinite groups can be rather weird.
Lubotzky, Alexander, Mann, Avinoam
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On the ranks of finite simple groups

2016
Summary: Let \(G\) be a finite group and let \(X\) be a conjugacy class of \(G\). The \textit{rank} of \(X\) in \(G\), denoted by \(\operatorname{rank}(G:X)\) is defined to be the minimal number of elements of \(X\) generating \(G\). In this paper we review the basic results on generation of finite simple groups and we survey the recent developments on
Basheer, Ayoub, Moori, Jamshid
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Rank Properties in Finite Semigroups II: The Small Rank and the Large Rank

Southeast Asian Bulletin of Mathematics, 2000
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Howie, John M., Marques Ribeiro, Maria Isabel   +1 more
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Commutative cancellative semigroups of finite rank

Periodica Mathematica Hungarica, 2004
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Cegarra, Antonio M., Petrich, Mario
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Groups of finite rank

1964
We use the following notation and terminology. All groups are written additively. A group is said to be periodic if all its elements are of finite order. As usual, Z stands for the additive group of the integers. The kernel (image) of a homomorphism f is denoted by Ker f (Im f). If H is a normal subgroup of G we write H ⊲ G.
M. Arkowitz, C. R. Curjel
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Finite Rank Operators

2000
This chapter is of a preliminary character. Here we accumulate results about the traces of finite rank operators as well as the determinants of operators of the form I + F, where F is an operator of finite rank Also, various formulas of trace and determinant are presented for operators of the form mentioned above.
Israel Gohberg, Seymour Goldberg, Nahum Krupnik   +2 more
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Rank of a finite automaton

Cybernetics and Systems Analysis, 1992
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On the ranks of the semigroup of A-decreasing finite transformations

Journal of Algebra and Its Applications, 2018
For [Formula: see text], let [Formula: see text] be the semigroup of all singular mappings on [Formula: see text]. For each nonempty subset [Formula: see text] of [Formula: see text], let [Formula: see text] be the semigroup of all [Formula: see text]-decreasing mappings on [Formula: see text]. In this paper we determine the rank and idempotent rank of
Zhao, Ping, You, Taijie, Hu, Huabi
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