We investigate measures on sequential orthomodular posets withvalues in a vector space or a (not necessarily commutative)algebra with reasonable sequential topologies, using a universalproperty. Unfortunately, the universalmeasure and the universal multiplicative measure need not coincideany more as in the commutative situation. This may have applicationsin quantum physics.
@article{117, title = {Measures and idempotents in the non-commutative situation}, journal = {Tatra Mountains Mathematical Publications}, volume = {49}, year = {2011}, doi = {10.2478/tatra.v49i0.117}, language = {EN}, url = {http://dml.mathdoc.fr/item/117} }
Börger, Reinhard. Measures and idempotents in the non-commutative situation. Tatra Mountains Mathematical Publications, Tome 49 (2011) . doi : 10.2478/tatra.v49i0.117. http://gdmltest.u-ga.fr/item/117/