In this paper, we introduce the notion of {bf K}-flat projective fuzzy quantales, and give an elementary characterization in terms of a fuzzy binary relation on the fuzzy quantale. Moreover, we  prove that {bf K}-flat projective fuzzy quantales are precisely the coalgebras for a certain comonad on the category of fuzzy quantales. Finally, we present two special cases of {bf K} as examples.

The effect of tillage, crop establishment and weed management was studied on theperformance of wheat grown after soybean at New Delhi, India during 2010-11 to 2011-12.Sixteen treatment combinations involved 2 tillage, viz. conventional tillage (CT) and zero tillage(ZT), two crop establishment practices, viz. raised-bed and flat-bed and four weed management,viz. isoproturon + hand weeding, mesos...

Attempts to separate the power of classical and quantum models of computation have a long history. The ultimate goal is to find exponential separations for computational problems. However, such separations do not come a dime a dozen: while there were some early successes in the form of hidden subgroup problems for abelian groups–which generalize Shor’s factoring algorithm perhaps most faithfull...

Driving simulators (DS) of innovative mechanical structures tailored to specific market needs have been recently designed, due to the increasing diffusion of such devices in many different application fields. The effectiveness of DSs is related to the capability of the motion control strategies of faithfully reproducing the driving feelings, while staying within the operation space. Such strate...

Suppose R and S are local rings and (R,m) → (S,n) is a flat local homomorphism. Given a finitely generated S-module N , we say N is extended (from R) provided there is an R-module M such that S ⊗R M is isomorphic to N as an S-module. If such a module M exists, it is unique up to isomorphism (cf. [EGA, (2.5.8)], and it is necessarily finitely generated. The m-adic completion R → R̂ and the Hensel...

Attempts to separate the power of classical and quantum models of computation have a long history. The ultimate goal is to find exponential separations for computational problems. However, such separations do not come a dime a dozen: while there were some early successes in the form of hidden subgroup problems for abelian groups– which generalize Shor’s factoring algorithm perhaps most faithful...

Let R be a discrete valuation ring with fraction field K, uniformizer π and residue field k of characteristic p > 0. Let XK be a flat K-scheme of finite type endowed with a faithful action of a finite group scheme G. Given an R-model X to which the action extends, it may happen that the reduced action on the special fibre acquires a kernel, especially if p divides |G|. Typically, this happens i...