Abstract: | It is proved that any continuous weakly invertible local measuring of an algebra with a coalgebra extends to the global measuring
of a quotient algebra. Also, any twisted measuring with an invertible cocycle is shown to be weakly invertible, and sufficient
conditions are specified for pointed and connected algebras to have continuous measurings.
Supported by RFFR grant No. 95-01-01356a and by ISF grants Nos. RPS 000 and RPS 300.
Translated fromAlgebra i Logika, Vol. 35, No. 2, pp. 190–213, March–April, 1996. |