Is it permissible to pray without performing ablution after taking a shower, and what is the difference between ritual purity (tahara) and cleanliness (nadhafa)?

Ghusl (definition) (ritual bath) suffices for Wudu (ablution) in some cases but not others. Cleanliness is broader than purity; cleanliness includes removing all dirt or impurities. As for purity, it is of two types: purity from ritual impurity (by ghusl and wudu, or tayammum (definition)), and purity from actual impurity (by removing the impurity and washing its location).