Normal monomorphisms in the sense of Bourn describe the equivalence classes of an internal equivalence relation. Although the definition is given in the fairly general setting of a category with finite limits, later investigations on this subject often focus on protomodular settings, where normality becomes a property. This paper clarifies the connections between internal equivalence relations ...

Children hold the belief that social categories have essences. We investigatedwhat kinds of properties children feel licensed to infer about a person based on social category membership. Seventy-two 4–6-year-oldswere introduced tonovel social categories defined as having one internal – psychological or biological – and one external – behavioral or physical – property. For half of the participan...

In this study, internal categories in the category of cat-1 groups, 1-cat, are determined, and it is investigated whether there a natural equivalence between these within crossed modules XMod.

The perception and production of the mid-front Finnish vowels /i/, /e/, /y/, and /ø/ were investigated in fourteen Finnish-speaking subjects. In the perception experiment, synthesized long vowels were used as stimuli in order to identify category prototypes. For production, the subjects were asked to pronounce words including these vowels as short and long variants. This study introduces a new ...

In the definition of a crossed module $(T,G,rho)$, the actions of the group $T$ and $G$ on themselves are given by conjugation. In this paper, we consider these actions to be arbitrary and thus generalize the concept of ordinary crossed module. Therefore, we get the category ${bf GCM}$, of all generalized crossed modules and generalized crossed module morphisms between them, and investigate som...

OBJECTIVE Opioids are being prescribed at increasing rates in primary care practices, and among individual providers there is significant variability in opioid prescribing. Primary care practices also vary significantly in complexity of their patients, ranging from healthy patients to those with multiple comorbidities. Our objective was to examine individual primary care providers for an associ...

in this paper, new definitions of $l$-fuzzy closure operator, $l$-fuzzy interior operator, $l$-fuzzy remote neighborhood system, $l$-fuzzy neighborhood system and $l$-fuzzy quasi-coincident neighborhood system are proposed. it is proved that the category of $l$-fuzzy closure spaces, the category of $l$-fuzzy interior spaces, the category of $l$-fuzzy remote neighborhood spaces, the category of ...