Results 231 to 240 of about 27,799 (266)

Fields of finite Morley rank

Journal of Symbolic Logic, 2001
AbstractIfKis a field of finite Morley rank, then for any parameter setA⊆Keqthe prime model overAis equal to the model-theoretic algebraic closure ofA. A field of finite Morley rank eliminates imaginaries. Simlar results hold for minimal groups of finite Morley rank with infinite acl(∅).
openaire   +1 more source

On the rank of certain finite fields

Computational Complexity, 1991
Let \(L\) and \(K\) be two fields with \(L\) a simple extension of \(K\). By \(R(L/K)\) the author means the rank of the tensor associated to multiplication in \(L\) viewed as an \(K\)-algebra. In this paper the author shows that \(R(\mathbb{F}_{q^ n}/\mathbb{F}_ q)\) has one of two possible values when \({1\over 2}q ...
openaire   +1 more source

Rank Properties in Finite Semigroups II: The Small Rank and the Large Rank

Southeast Asian Bulletin of Mathematics, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Howie, John M., Marques Ribeiro, Maria Isabel   +1 more
openaire   +1 more source

The Rank and Coexponent of a Finite P-Group

Journal of Systems Science and Complexity, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Commutative cancellative semigroups of finite rank

Periodica Mathematica Hungarica, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Antonio Martínez Cegarra, Mario Petrich
openaire   +1 more source

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
openaire   +1 more source

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
openaire   +1 more source

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
openaire   +2 more sources

Rank of a finite automaton

Cybernetics and Systems Analysis, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On Hyper (Abelian of Finite Rank) Groups

Algebra Colloquium, 2008
We study the class of groups G, each of whose non-trivial images contains a non-trivial abelian normal subgroup of finite rank. This is very much wider than the class, studied earlier by Robinson and others, of hyperabelian groups H with finite abelian section rank. Our main results are that these groups G are hypercentral by residually finite and are
openaire   +1 more source