We consider the congruence a P s i=1 b i h i mod I where h 1 ; : : : ; hs are given modulo a zero dimensional ideal I. We give two polynomial time algorithms for determining a Grr obner basis, relative to an arbitrary term order, of the module M of solutions of the congruence, and, in particular, for nding its minimal element. These are based on a generalization of an algorithm of Faug ere et a...

P. Buser and P. Sarnak constructed Riemann surfaces whose systole behaves logarithmically in the genus. The Fuchsian groups in their examples are principal congruence subgroups of a fixed arithmetic group with rational trace field. We generalize their construction to principal congruence subgroups of arbitrary arithmetic surfaces. The key tool is a new trace estimate valid for an arbitrary idea...

AbstractDeveloping self-regulated learners has been the life-long ambition of different stakeholders in education. This study was set out to find the relationships between self-regulated strategies as defined by time and resource management, cognitive and metacognitive strategies, achievement goals classified as mastery, performance-approach and performance-avoidance, and the listening ac...

On the basis of the concept of interval valued intuitionistic fuzzy set introduced by K. Atanassov [3], the notion of interval valued intuitionistic fuzzy subsemigroup (ideal, bi-ideal, (1, 2)-ideal) of a semigroup with respect to t-norm T and s-norm S is given and the characteristic properties are described. The homomorphic image and inverse image are investigated. In particular, by the help o...

A seminear-ring is a generalization of ring. In ring theory, if with the multiplicative identity, then endomorphism module isomorphic to . Let be seminear-ring. Here, we can construct set from itself denoted by We show that seminear-ring, also over addition and composition function. will apply congruence relation get quotient endomorphism. Furthermore, between c-ideal relations. So, c-ideal.

First, we introduce the concept of intuitionistic fuzzy group congruenceand we obtain the characterizations of intuitionistic fuzzy group congruenceson an inverse semigroup and a T^{*}-pure semigroup, respectively. Also,we study some properties of intuitionistic fuzzy group congruence. Next, weintroduce the notion of intuitionistic fuzzy semilattice congruence and we givethe characterization of...

Abstract Due to its prominent role in online social networks, avatar creation has become an important research topic the field of computer-mediated communication. One main motive for creating avatars is representation one’s own identity. Previous indicates that depends on activity context which created. Though, studies comparing a wide variety contexts are still missing. The present study addre...

BACKGROUND Psychosocial job characteristics require nursing staff with high self-consistency and good mental health. However, the attention and effort of such study remained very limited in China. METHODS A self-administered questionnaire was distributed to the bedside nurses in an affiliated hospital of Hebei Medical University, China. Of 218 registered bedside nurses eligible to participate...

AbstractDeveloping self-regulated learners has been the life-long ambition of different stakeholders in education. This study was set out to find the relationships between self-regulated strategies as defined by time and resource management, cognitive and metacognitive strategies, achievement goals classified as mastery, performance-approach and performance-avoidance, and the listening ac...

Let ω = (−1 + √ −3)/2. For any lattice P ⊆ Zn, P = P + ωP is a subgroup of On K , where OK = Z[ω] ⊆ C. As C is naturally isomorphic to R2, P can be regarded as a lattice in R2n. Let P be a multiplicative lattice (principal lattice or congruence lattice) introduced by Rosenbloom and Tsfasman. We concatenate a family of special codes with tP · (P + ωP ), where tP is the generator of a prime ideal...