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Solvable Groups of Finite Metabelian Rank

Siberian Mathematical Journal, 2020
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Finite Rank Operators in Certain Algebras

Canadian Mathematical Bulletin, 1999
AbstractLet Alg(ℒ) be the algebra of all bounded linear operators on a normed linear space X leaving invariant each member of the complete lattice of closed subspaces L. We discuss when the subalgebra of finite rank operators in Alg(ℒ) is non-zero, and give an example which shows this subalgebra may be zero even for finite lattices.
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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.   +1 more
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Simple Groups of Finite Morley Rank

2008
The book gives a detailed presentation of the classification of the simple groups of finite Morley rank which contain a nontrivial unipotent 2-subgroup. They are linear algebraic groups over algebraically closed fields of characteristic 2. Although the story told in the book is inspired by the classification of the finite simple groups, it goes well ...
Altinel, Tuna   +2 more
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Locally Finite Groups with Centralizers of Finite Rank

Communications in Algebra, 2016
The structure of locally finite groups with an involution whose centralizer has finite rank was described by Kuzucuolu and Shumyatsky. In this paper, we investigate the structure of locally finite groups with an element of order 3 whose centralizer has finite rank.
Kıvanc̣ Ersoy, Chander Kanta Gupta
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Bieri-Strebel Valuations (of Finite Rank)

Proceedings of the London Mathematical Society, 1986
Recall that a group G is said to be of type \(FP_ m\) over a commutative ring R if there is a resolution of R by RG-projective modules \[ ...P_ n\to P_{n-1}\to...P_ 1\to P_ 0\to R \] in which the modules \(P_ 0,...,P_ m\) are finitely generated. This paper provides, for finitely generated metabelian groups of finite (Prüfer) rank and for all m and all ...
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Finite Rank Butler Groups

2000
Free groups are the projectives and divisible groups are the injectives for the category of torsion-free abelian groups [Hungerford 74]. Changing the category and the class of defining homomorphisms can change the projectives and injectives. Properties of Coxeter correspondences and almost split sequences are applied to categories of finite rank Butler
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On residually finite groups of finite general rank

Mathematical Notes, 2017
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Groups of Finite Morley Rank

1994
Abstract The book is devoted to the theory of groups of finite Morley rank. These groups arise in model theory and generalize the concept of algebraic groups over algebraically closed fields. The book contains almost all the known results in the subject.
Alexandre Borovik, Ali Nesin
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Finite rank intermediate Hankel operators

Archiv der Mathematik, 1996
The paper is devoted to transfer the results of \textit{S. Janson} and \textit{R. Rochberg} [J. Operator Theory 29, No. 1, 137-155 (1993)] and \textit{L. Peng, R. Rochberg} and \textit{Z. Wu} [Stud. Math. 102, No. 1, 57-75 (1992; Zbl 0809.30008)] concerning the intermediate Hankel operators on Bergmann space on the intermediate operators of finite rank.
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