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...

In this paper, we study the left orthogonal class of max-flat modules which are homological objects related to s-pure exact sequences and module homomorphisms. Namely, a right $A$ is called MF-projective if ${Ext}^{1}_{R}(A,B)=0$ for any $R$-module $B$, strongly ${Ext}^{i}_{R}(A,B)=0$ all $R$-modules $B$ $i\geq 1$. Firstly, give some properties $MF$-projective SMF-projective modules. Then intro...

Thermochronological methods were applied to the Higher Himalayan Crystalline (HHC) nappe and underlying Lesser Sequences (LHS) elucidate denudation process for middle- upper-crust of eastern Nepal over millions years. inverse modeling was undertaken new results fission-track (FT) age FT length data zircon apatite in order reconstruct time-temperature (t-T) paths temperature range 60–350°C. Eigh...

In this work, we obtain a relation for average quantum time dilation between two clocks A and B in the near-horizon region of black hole supported by Rindler metric conformal tortoise coordinate. It is indicated that identified with classical flat background limits.

Let k be a field of characteristic not equal to two, B a smooth projective curve of genus g(B) over k, and F its function field. A quadric hypersurface fibration is a flat projective morphism π : X → B such that each geometric fiber is a quadric hypersurface with at worst an isolated singularity and the generic fiber is smooth. Sections σ : B → X of π are in bijection with rational points X(F )...

Riemann-Roch theorems assert that certain algebraically defined wrong way maps (transfers) in algebraic K–theory agree with topologically defined ones [BaDo]. Bismut and Lott [BiLo] proved such a Riemann–Roch theorem where the wrong way maps are induced by the projection of a smooth fiber bundle, and the topologically defined transfer map is the Becker–Gottlieb transfer. We generalize and refin...

Suppose S is an affine, noetherian scheme, X is a separated, noetherian S-scheme, E is a coherent OX -bimodule and I ⊂ T (E) is a graded ideal. We study the geometry of the functor Γn of flat families of truncated B = T (E)/I-point modules of length n + 1. We then use the results of our study to show that the point modules over B are parameterized by the closed points of P X2(E). When X = P , w...

We discuss constraints on which flat directions can have large vacuum expectation values (VEVs) after inflation. We show that only flat directions which are not charged under B-L and develop positive pressure due to renormalization group effects can have large VEVs of order MPl. For example, within the MSSM only the HuHd flat direction is found to be viable. This strongly constrains the embeddi...