We clarify the explicit structure of the Hurwitz quaternion order, which is of fundamental importance in Riemann surface theory and systolic geometry. We present some properties of the associated congruence subgroups. Namely, we show that a Hurwitz group defined by a congruence subgroup associated with an odd ideal, is necessarily defined by a principal congruence subgroup. All such Hurwitz gro...

For a Peirce algebra P, lattices CongP of all heterogenous Peirce congruences and IdeP of all heterogenous Peirce ideals are presented. The notions of kernel of a Peirce congruence and the congruence induced by a Peirce ideal are introduced to describe an isomorphism between CongP and IdeP. This isomorphism leads us to conclude that the class of the Peirce algebras is ideal determined. Opposed ...

Body images of female patients with anorexia nervosa and bulimia nervosa were assessed against females without eating disorders and compared with male ideals of female attractiveness. A computer program was applied to examine body images of 62 patients with anorexia nervosa, 45 patients with bulimia nervosa, and 40 female and 39 male control subjects. Body size overestimation was most distinct ...

a r t i c l e i n f o This work examines the consequences of regulatory focus in the context of the Michelangelo phenomenon, a process whereby interaction partners shape one another's goal pursuits. We advanced predictions regarding the intrapersonal and interpersonal consequences of target and partner promotion orientation using the concepts of target-goal congruence, partner-goal congruence, ...

The current research challenges the widespread truism that recalling a positive self necessarily increases self-esteem, whereas recalling a negative self necessarily decreases self-esteem. Four experiments demonstrate that chronically happy people show a relative increase in self-esteem by recalling either a positive or a negative self. Chronically sad people, however, show a relative decrease ...

The concept of  -ideals is introduced in an Almost Distributive lattice(ADL) with respect to a congruence and the properties of  -ideals are studied. Derived a set of equivalent conditions for a  -ideal to become a  -prime ideal.

A lattice identity is given such that it holds but its dual fails in the normal subgroup lattices of metaabelian groups. Thus the congruence variety of metaabelian groups is not self-dual; this is the first example for a modular congruence variety which is not self-dual. For a ring R with unit element let L(R) denote the class of lattices embeddable in submodule lattices of R-modules. Then HL(R...

Two categories are called Morita equivalent if the categories of functors from these categories to the category of sets are equivalent. We prove that congruence lattices of Morita equivalent small categories are isomorphic. 1. Preliminaries Categories A and B are called Morita equivalent if the functor categories Fun(A, Set) and Fun(B, Set) are equivalent. The basic theory of Morita equivalent ...