Let L and H be algebras and coalgebras (but not necessarily bialgebras, and consider two maps R : H ⊗L → L⊗H and W : L⊗H → H ⊗L. We introduce a product K = L W⊲⊳R H , and we give necessary and sufficient conditions for K to be a bialgebra. Our construction generalizes products introduced by Majid [13] and Radford [20]. Also some of the pointed Hopf algebras that were recently constructed by Bea...

Contents 1. Introduction 1 2. Categories of fractions and localization functors 3 3. Calculus of fractions 9 4. Localization for triangulated categories 14 5. Localization via Brown representability 24 6. Well generated triangulated categories 31 7. Localization for well generated categories 39 8. Epilogue: Beyond well generatedness 47 Appendix A. The abelianization of a triangulated category 4...

we give the concept of ‘braiding’ for 2-groupoids, and we show that this structure is equivalent tobraided regular, crossed modules.

Let Q be a finite quiver with vertex set I and arrow set Q1, k a field, and k Q its path algebra with its standard grading. This paper proves some category equivalences involving the quotient category QGr(k Q) := Gr(k Q)/Fdim(k Q) of graded k Q-modules modulo those that are the sum of their finite dimensional submodules, namely QGr(k Q) ≡ ModS(Q) ≡ GrL(Q) ≡ ModL(Q◦)0 ≡ QGr(k Q (n)). Here S(Q) =...

Recent experiments have demonstrated that category goodness influences the perception of vowels [Iverson and Kuhl, J. Acoust. Soc. Am. 97, 553-562 (1995)]; listeners show a perceptual magnet effect characterized by shrunken perceptual distances near excellent exemplars of vowel categories and stretched distances near poor exemplars. The present study extends this investigation by examining the ...

Contents 1. Introduction 1 2. Categories of fractions and localization functors 3 3. Calculus of fractions 9 4. Localization for triangulated categories 13 5. Localization via Brown representatbility 23 6. Well generated triangulated categories 31 7. Localization for well generated categories 38 8. Epilogue: Beyond well-generatedness 46 Appendix A. The abelianization of a triangulated category ...

This paper presents an approach to the fuzzification of complete lattices. This kind of fuzzification is a functor from the category of complete lattices to the category of completeL-ordered sets. It not only can be considered as an algebraic representation of the Lowen functor ωL, but also can characterize the stratification of L-topological spaces and the underlying set of Hutton unit interval.

This paper presents the concepts of (L,M)-remotehood spaces and (L,M)-convergence in framework (L,M)-fuzzy convex spaces. Firstly, it is shown that category isomorphic to Secondly, proved can be embedded as a reflective subcategory. Finally, preconvex (L,M)- convergence are introduced

␮g/L). We also analyzed an aliquot of each of the three samples for 13 consecutive days (a total of 39 samples); 38 of the 39 (97.5%) were placed correctly, and the 39th was placed in the category immediately above the correct category. We diluted a urine sample containing 6.3 ␮mol/L mmol/L added to a sample containing 1.15 ␮mol/L (146 ␮g/L) iodine did not change the iodine concentration measur...