-systems of unary algebras. I: On maximal and greatest -classes of the direct product of unary algebras
-systems of unary algebras. II: Maximal and minimal subalgebras of the direct products of unary algebras
r- ортогональные квазигруппы. I
r- ортогональные квазигруппы. II
Radial functions on free groups and a decomposition of the regular representation into irreducible components.
Radical decompositions of semiheaps
Semiheaps are ternary generalisations of involuted semigroups. The first kind of semiheaps studied were heaps, which correspond closely to groups. We apply the radical theory of varieties of idempotent algebras to varieties of idempotent semiheaps. The class of heaps is shown to be a radical class, as are two larger classes having no involuted semigroup counterparts. Radical decompositions of various classes of idempotent semiheaps are given. The results are applied to involuted I-semigroups, leading...
Radical d'une algèbre symétrique à gauche
L’étude d’une algèbre symétrique à gauche (de dimension finie sur ) est liée à celle d’un groupe de transformations affines opérant avec trajectoire ouverte et groupe d’isotropie discret sur cette trajectoire. Son radical est défini grâce aux translations conservant cette trajectoire; l’algèbre est nilpotente si ce groupe opère de façon simplement transitive (les multiplications à droite sont alors nilpotentes). Le radical est le plus grand idéal à gauche nilpotent.
Radical relations in unitary, symplectic, and orthogonal groups.
Radical subgroups of lattice ordered groups
Radicals and their left ideal analogues in a semigroup
Radicals commuting with bands of semigroups.
Radicals in Quasi-Commutative Semigroups
Radicals in semigroups.
Radicals of Green’s relations
Some structural descriptions of semigroups in which the radicals of Green’s relations are semilattice congruences will be given.
Radicals of semi-group rings
Radicals of semigroup rings of commutative semigroups.
Radicals of semigroup rings of orthogroups.
Radicals of semigroups.
Radicals of symmetric cellular algebras
For a symmetric cellular algebra, we study properties of the dual basis of a cellular basis first. Then a nilpotent ideal is constructed. The ideal connects the radicals of cell modules with the radical of the algebra. It also yields some information on the dimensions of simple modules. As a by-product, we obtain some equivalent conditions for a finite-dimensional symmetric cellular algebra to be semisimple.
Radikale und koradikale Regeln