We develop the K-theory of sets with an action a pointed monoid (or scheme), analogous to modules over ring scheme). In order form localization sequences, we construct quotient category nice regular by Serre subcategory.

The only proof of this I know is kind of fiddly and not enlightening. But the point is that in most categories that appear ‘in nature,’ regular, strong, and extremal epics are about the same, and all are the correct notion of quotient, while ordinary epimorphisms may not be. For example, N→ Q is epic in Rings, but not extremal epic. In Top the epics are the surjective maps, while the regular = ...

This study tested whether the gender intensification hypothesis applies to relations between multiple domain-specific self-concept facets and selfesteem. This hypothesis predicts gender-stereotypic differences in these relations and assumes they intensify with age. Furthermore, knowledge about gender-related or age-related differences in self-concept–self-esteem relations might provide valuable...

Abstract We shall consider measure algebras associated to locally compact groups, bounded operators between them and properties of the underlying measures. take into account second dual provided with Arens products together tools Gélfand theory.

We prove the existence of a four-class association scheme on the set of external lines with respect to a hyperbolic quadric of PGð3; qÞ where qd 4 is a power of 2. This result is an analogue of the one by Ebert, Egner, Hollmann and Xiang. Taking a quotient of this association scheme yields a strongly regular graph of Latin square type. We show that this strongly regular graph can also be obtain...

We show that the property of F-regularity does not deform, and thereby settle a longstanding open question in the theory of tight closure. Specifically, we construct a three dimensional N-graded domain R which is not F-regular (or even F-pure), but has a quotient R=tR which is F-regular. Examples are constructed over fields of characteristic p > 0, as well as over fields of characteristic zero.

Positions and derivatives are two essential notions in the conversion methods from regular expressions to equivalent finite automata. Partial derivative based methods have recently been extended to regular expressions with intersection. In this paper, we present a position automaton construction for those expressions. This construction generalizes the notion of position making it compatible wit...