Mario Petrich (2020)
Mathematica Bohemica
Completely regular semigroups are considered here with the unary operation of inversion within the maximal subgroups of the semigroup. This makes a variety; its lattice of subvarieties is denoted by . We study here the relations and relative to a sublattice of constructed in a previous publication. For being any of these relations, we determine the -classes of all varieties in the lattice as well as the restrictions of to .
R.J. Koch, B.L. Madison (1985)
Semigroup forum
T. Saito (1986)
Semigroup forum
A Pollatchek (1976)
Semigroup forum
Eugene M. Norris (1974)
Matematický časopis
Franz Halter-Koch (1992)
Commentationes Mathematicae Universitatis Carolinae
We introduce relative block semigroups as an appropriate tool for the study of certain phenomena of non-unique factorizations in residue classes. Thereby the main interest lies in rings of integers of algebraic number fields, where certain asymptotic results are obtained.
N. Habegger, V. Jones, O.P. Ortiz (1984)
Commentarii mathematici Helvetici
Tomas Everaert, Marino Gran (2006)
Archivum Mathematicum
In this note we determine explicit formulas for the relative commutator of groups with respect to the subvarieties of -nilpotent groups and of -solvable groups. In particular these formulas give a characterization of the extensions of groups that are central relatively to these subvarieties.
James A. Schafer (1992)
Commentarii mathematici Helvetici
Graham J. Ellis (1990)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Thomas Blossier, Amador Martin-Pizarro, Frank Olaf Wagner (2015)
Journal of the European Mathematical Society
In this paper, we shall study type-definable groups in a simple theory with respect to one or several stable reducts. While the original motivation came from the analysis of definable groups in structures obtained by Hrushovski's amalgamation method, the notions introduced are in fact more general, and in particular can be applied to certain expansions of algebraically closed fields by operators.
M. Koecher, J. Dorfmeister (1977)
Mathematische Annalen
Talia Fernós (2006)
Annales de l’institut Fourier
Relative property (T) has recently been used to show the existence of a variety of new rigidity phenomena, for example in von Neumann algebras and the study of orbit-equivalence relations. However, until recently there were few examples of group pairs with relative property (T) available through the literature. This motivated the following result: A finitely generated group admits a special linear representation with non-amenable -Zariski closure if and only if it acts on an Abelian group (of...
Wolfgang Kimmerle (1980)
Mathematische Zeitschrift
Roman Frič, Fabio Zanolin (1997)
Czechoslovak Mathematical Journal
We generalize the notion of a coarse sequential convergence compatible with an algebraic structure to a coarse one in a given class of convergences. In particular, we investigate coarseness in the class of all compatible convergences (with unique limits) the restriction of which to a given subset is fixed. We characterize such convergences and study relative coarseness in connection with extensions and completions of groups and rings. E.g., we show that: (i) each relatively coarse dense group precompletion...
G. Thierrin, C.M. Reis, Y.Q. Guo (1988)
Semigroup forum
Petrich, Mario, Silva, Pedro V. (2000)
Beiträge zur Algebra und Geometrie
Kenneth Hickin (1987)
Mathematische Zeitschrift
Hubert Kiechle (2000)
Commentationes Mathematicae Universitatis Carolinae
A K-loop or Bruck loop is a Bol loop with the automorphic inverse property. An overview of the most important theorems on K-loops and some of their relatives, especially Kikkawa loops, is given. First, left power alternative loops are discussed, then Kikkawa loops are considered. In particular, their nuclei are determined. Then the attention is paid to general K-loops and some special classes of K-loops such as 2-divisible ones. To construct examples, the method of derivation is introduced. This...
T. A. Springer (1973/1974)
Séminaire Bourbaki