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Recollements of abelian and triangulated categories play an important role in geometry of singular spaces [3], in representation theory [4, 12], in polynomial functors theory [8, 9,
Goguen categories were introduced in [13] as a suitable categorical de- scription of L -fuzzy relations, i.e., of relations taking values from an arbitrary complete Brouwerian lattice
In case when V is the category Ab of Abelian groups and their homomorphisms, connected functors between one-object categories (that is, homomorphisms of rings with unit) are
In the seventh chapter, we add yet more structure and study ˆ S -small fibred categories and ˆ S -small additive, abelian and triangulated fibrations and their enlargements.. This
the class of all strongly unital categories is the class of all Mal’tsev categories follows from the fact that the Bourn localization of the class of all unital categories is the
As a consequence (see Corollary 6.2), we find that in the case of categories of distributive Ω 2 -groups, such as the categories of groups, rings, Lie algebras, and all the
The non-abelian tensor product of groups was introduced by Brown and Loday 2,3] following works of A.Lue 4] and R.K.Dennis 7].. These compatibility conditions are very important
The paper is organized as follows: in the next section local predictive variance and prediction intervals for chaotic time series are introduced; in Section 3 a non-linear
