Results 221 to 230 of about 27,799 (266)

On locally finite groups of finite rank

Algebra and Logic, 1971
V P Shunkov, Shunkov V P
exaly   +4 more sources

Elementary Properties of the Finite Ranks

Mathematical Logic Quarterly, 1998
AbstractThis note investigates the class of finite initial segments of the cumulative hierarchy of pure sets. We show that this class is first‐order definable over the class of finite directed graphs and that this class admits a first‐order definable global linear order. We apply this last result to show that FO(<, BIT) = FO(BIT).
Anuj Dawar, Kees Doets, Steven Lindell, Scott Weinstein   +3 more
openaire   +4 more sources

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
openaire   +2 more sources

SPACES WITH BASES OF FINITE RANK

Mathematics of the USSR-Sbornik, 1972
In this article we investigate spaces having bases of finite rank and finite big rank. Bibliography: 12 items.
Arkhangel'skij, A. V., Filippov, V. V.
openaire   +1 more source

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.
openaire   +3 more sources

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
openaire   +1 more source

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
openaire   +1 more source

ON LINEARLY ORDERED STRUCTURES OF FINITE RANK

Journal of Mathematical Logic, 2009
O-minimal structures have long been thought to occupy the base of a hierarchy of ordered structures, in analogy with the role that strongly minimal structures play with respect to stable theories. This is the first in an anticipated series of papers whose aim is the development of model theory for ordered structures of rank greater than one. A class of
Alf Onshuus, Charles Steinhorn
openaire   +2 more sources