Decomposition numbers of finite classical groups for linear primes.
Decomposition of a locally associative LA-semigroup.
Decomposition of commutative ordered semigroups into archimedean components.
Decomposition of isometries of isotropic over finite fields into simple isometries
Decomposition of reductive regular Prehomogeneous Vector Spaces
Let be a regular prehomogeneous vector space (abbreviated to ), where is a reductive algebraic group over . If is a decomposition of into irreducible representations, then, in general, the PV’s are no longer regular. In this paper we introduce the notion of quasi-irreducible (abbreviated to -irreducible), and show first that for completely -reducible ’s, the -isotypic components are intrinsically defined, as in ordinary representation theory. We also show that, in an appropriate...
Decomposition of regular subsemigroup lattices.
Decomposition of rings under the circle operation.
Decomposition of special Jacobi sets
Decomposition of the diagonal action of on the coinvariant space of .
Decomposition series of a certain semigroup
Decomposition Theorems for Group Pairs.
Decompositions of local rigid ACD groups
We study direct decompositions of extensions of rigid completely decomposable groups by finite primary groups. These decompositions are unique and can be found by finite procedures. By passing to certain quotients the determination of the direct decompositions is made more efficient.
Decompositions of semigroups induced by identities.
Decompositions of semigroups with zero.
Defektschranken gewisser Subnormalteiler.
Definability for equational theories of commutative groupoids
We find several large classes of equations with the property that every automorphism of the lattice of equational theories of commutative groupoids fixes any equational theory generated by such equations, and every equational theory generated by finitely many such equations is a definable element of the lattice. We conjecture that the lattice has no non-identical automorphisms.
Definability in the lattice of equational theories of semigroups.
Definable subgroups of algebraic groups over finite fields.
Definite arithmetische Gruppen.
Definition and Properties of Direct Sum Decomposition of Groups1
In this article, direct sum decomposition of group is mainly discussed. In the second section, support of element of direct product group is defined and its properties are formalized. It is formalized here that an element of direct product group belongs to its direct sum if and only if support of the element is finite. In the third section, product map and sum map are prepared. In the fourth section, internal and external direct sum are defined. In the last section, an equivalent form of internal...