Regularity and complete distributivity.
Regularity and Green's relations on a semigroup of transformations with restricted range.
Regularity and transitivity of local-automorphism semigroups of locally finite forests
Regularity of residuated mappings.
Regularity of semigroup rings.
Regularity of the wreath product of monoids.
Regulated buildups of 3-configurations
We deal with two types of buildups of 3-configurations: a generating buildup over a given edge set and a regulated one (according to maximal relative degrees of vertices over a penetrable set of vertices). Then we take account to minimal generating edge sets, i.e., to edge bases. We also deduce the fundamental relation between the numbers of all vertices, of all edges from edge basis and of all terminal elements. The topic is parallel to a certain part of Belousov' “Configurations in algebraic...
Regulierende Untergruppen und der Regulator fast vollständig zerlegbarer Gruppen
Reidemeister- Schreier type rewriting for semigroups.
Relating quantum and braided Lie algebras
We outline our recent results on bicovariant differential calculi on co-quasitriangular Hopf algebras, in particular that if is a quantum tangent space (quantum Lie algebra) for a CQT Hopf algebra A, then the space is a braided Lie algebra in the category of A-comodules. An important consequence of this is that the universal enveloping algebra is a bialgebra in the category of A-comodules.
Relation modules of finite groups and related topics.
Relation modules of infinite groups, II
Let F n denote the free group of rank n and d(G) the minimal number of generators of the finitely generated group G. Suppose that R ↪ F m ↠ G and S ↪ F m ↠ G are presentations of G and let and denote the associated relation modules of G. It is well known that even though it is quite possible that . However, to the best of the author’s knowledge no examples have appeared in the literature with the property that . Our purpose here is to exhibit, for each integer k ≥ 1, a group G that has presentations...
Relational morphisms and operations on recognizable sets
Relationen zwischen symplektischen Transvektionen.
Relations among certain number knots
Relations Among Some Classes Of Quasigroups.
Relations among the squares of the generators of the braid groups.
Relations between cross-connections and biordered sets.
Relations, coverings, hypergraphs and matroids
Relations Invariant under semigroup actions.