A new equilibrium existence theorem for abstract fuzzy economies

AbstractIn this paper, we show a new equilibrium existence theorem for abstract fuzzy economies with uncountable number of agents with fuzzy constraint correspondences and fuzzy preference correspondence, and give a new existence theorem of maximal element for qualitative fuzzy games with uncountable number of players with fuzzy preference correspondence

Simple reverse genetics approach to elucidating the biosynthetic pathway of complex thiopeptide nocathiacin

Biothythetic pathway of the most drugable thiopeptide nocathiacin has been elucidated by applying reverse genetics method based on its structural features. The present study provides an efficient approach for an easy access to the biosynthetic gene clusters of complex bioactive peptides that are ribosomally synthesized with extensive posttranslational modifications

Lifting of recollements and Gorenstein projective modules

In the paper, we investigate the lifting of recollements with respect to Gorenstein-projective modules. Specifically, a homological ring epimorphism can induce a lifting of the recollement of the stable category of finitely generated Gorenstein-projective modules; the recollement of the bounded Gorenstein derived categories of some upper triangular matrix algebras can be lifted to the homotopy category of Gorenstein-projective modules. As a byproduct, we give a sufficient and necessary condition on the upper triangular matrix algebra T_{n}(A) to be of finite CM-type for an algebra A of finite CM-type.Comment: 11 page