Inspired by the article of P. Grzegorzewski [3], who has worked two generalizationsof the inclusion-exclusion principle for IF-events, I present here a generalizationof the inclusion-exclusion principle for mappings with values in semigroups.The main idea is in disregarding the distributivity and idempotency law, and insteadassuming only one axiom.
@article{136, title = {The inclusion-exclusion principle without distributivity}, journal = {Tatra Mountains Mathematical Publications}, volume = {51}, year = {2012}, doi = {10.2478/tatra.v50i3.136}, language = {EN}, url = {http://dml.mathdoc.fr/item/136} }
Kelemenová, Jana. The inclusion-exclusion principle without distributivity. Tatra Mountains Mathematical Publications, Tome 51 (2012) . doi : 10.2478/tatra.v50i3.136. http://gdmltest.u-ga.fr/item/136/