Principal ideals in skew Polynomial rings
Module is said to be small if it is not a union of strictly increasing infinite countable chain of submodules. We show that the class of all small modules over self-injective purely infinite ring is closed under direct products whenever there exists no strongly inaccessible cardinal.
On munit, naturellement, d’un surproduit l’algèbre extérieure de l’homologie cyclique d’une -algèbre commutative ( étant un corps de caractéristique zéro) à l’aide du produit de Loday-Quillen. On munit d’un surproduit l’homologie de l’algèbre de Lie du groupe linéaire général de à l’aide du produit tensoriel de matrices. On montre que l’isomorphisme d’algèbres de Hopf de Loday-Quillen est compatible avec les surproduits définis ci-dessus. On obtient ainsi une interprétation du produit de Loday-Quillen,...
Properties of - compositions of fuzzy relations were first examined in Goguen [8] and next discussed by many authors. Power sequence of fuzzy relations was mainly considered in the case of matrices of fuzzy relation on a finite set. We consider - powers of fuzzy relations under diverse assumptions about operation. At first, we remind fundamental properties of - composition. Then, we introduce some manipulations on relation powers. Next, the closure and interior of fuzzy relations are examined....