in this paper $s$ is a monoid with a left zero and $a_s$ (or $a$) is a unitary right $s$-act. it is shown that a monoid $s$ is right perfect (semiperfect) if and only if every (finitely generated) strongly flat right $s$-act is quasi-projective. also it is shown that if every right $s$-act has a unique zero element, then the existence of a quasi-projective cover for each right act implies that ...

We give an elementary proof to the asymptotic expansion formula of Rochon and Zhang (2012) for unique complete Kähler-Einstein metric Cheng Yau (1980), Kobayashi (1984), Tian (1987) Bando (1990) on quasi-projective manifolds. The main tools are solution second-order ordinary differential equations (ODEs) with constant coefficients spectral theory Laplacian operator a closed manifold.

This study addresses the empirical question of whether families high in communication deviance (CD) assessed from parental projective test data show direct interaction patterns similar to those found in families with offspring diagnosed as schizophrenic. Three parameters of interactive functioning were examined— focus of communication, role structure, and nonverbal affective attitude. The data ...

In this chapter we discuss the theory of complex projective structures on compact surfaces and its connections with Teichmüller theory, 2-and 3-dimensional hyperbolic geometry, and representations of surface groups into PSL 2 (C). Roughly speaking, a complex projective structure is a type of 2-dimensional geometry in which Möbius transformations play the role of geometric congru-ences (this is ...

We consider real hypersurfaces $M$ in complex projective space equipped with both the Levi-Civita and generalized Tanaka-Webster connections. For any nonnull number $k$ symmetric tensor field of type (1,1) $L$ on we can define a (1,2) $M$, $L^{(k)}_F$, related to study symmetry skewsymmetry $A^{(k)}_F$ associated shape operator$A$ $M$.