The notion of $f$-derivations of UP-algebras is introduced, some useful examples are discussed, and related properties are investigated. Moreover, we show that the fixed set and the kernel of $f$-derivations are UP-subalgebras of UP-algebras,and also give examples to show that the two sets are not UP-ideals of UP-algebras in general.

background: triple negative breast cancer (tnbc) is reported to be associated with a high risk of recurrence, poor overall survival (os), and disease-free survival (dfs) rates. this study evaluated the clincopathological features and survival of non-metastatic tnbc women in the capital of iran compared with other areas of the world. methods: in a retrospective study, 119 women with tnbc based o...