In the category Top of topological spaces and continuous functions we prove that descent morphisms with respect to the class IE of continuous bijections are exactly the descent mor phisms providing a new characterization of the latter in terms of sub brations IE X of the basic bration given by Top X which are essentially complete lattices Also e ective descent morphisms are characterized in ter...

We develop a bicategorical setup in which one can speak about adjoint 1-morphisms even the absence of genuine identity 1-morphisms. also investigate part 2-representation theory 2-categories extends to this new setup.

In a recent paper with L. Q. Zamboni the authors introduced the class of θ-episturmian words, where θ is an involutory antimorphism of the free monoid A∗. In this paper, we introduce and study θcharacteristic morphisms, that is, morphisms which map standard episturmian words into standard θ-episturmian words. They are a natural extension of standard episturmian morphisms. The main result of the...

In the study of pre-Lie algebras, concept pre-morphism arises naturally as a generalization standard notion morphism. Pre-morphisms can be defined for arbitrary (not-necessarily associative) algebras over any commutative ring k with identity, and dualized in various ways to generalized morphisms (related pre-Jordan algebras) anti-pre-morphisms anti-pre-Lie algebras). We consider idempotent pre-...

In this paper we study t-norms on the lattice of closed subintervals of the unit interval. Unlike for t-norms on a product lattice for which there exists a straightforward characterization of t-norms which are join-morphisms, respectively meet-morphisms, the situation is more complicated for t-norms in interval-valued fuzzy set theory. In previous papers several characterizations were given of ...

Topological groupoids admit various types of morphisms. We push these notions to the level continuous groupoid actions obtain action Some dynamical properties and their relation morphisms are studied. Among them recurrence, forms transitivity, minimality, limit, recurrent, periodic almost points.