We introduce a new generalization of Alan Day’s doubling construction. For ordered sets L and K and a subset E ⊆ ≤L we define the ordered set L ?E K arising from inflation of L along E by K. Under the restriction that L and K are finite lattices, we find those subsets E ⊆ ≤L such that the ordered set L ?E K is a lattice. Finite lattices that can be constructed in this way are classified in term...

Freud's legacy deriving from his work The project for a scientific psychology (1895) could give a new impetus to the dialogue between psychoanalysis and neurosciences. A rapproachment phase is warrented. Based on the work of psychoanalysts who are themselves neuroscientists (such as Mauro Mancia, Martha Koukkou and Harold Shevrin) or have a long term dialogue with neuroscientists (Arnold Modell...

In recent work, Bacher and de la Harpe define and study conjugacy growth series for finitary permutation groups. In two subsequent papers, Cotron, Dicks, and Fleming study the congruence properties of some of these series. We define a new family of conjugacy growth series for the finitary alternating wreath product that are related to sums of modular forms of integer and half-integral weights, ...

A certain generalized divisor function d(n) is studied which counts the number of factorizations of a natural number n into integer powers with prescribed exponents under certain congruence restrictions. An Ω-estimate is established for the remainder term in the asymptotic for its Dirichlet summatory function.

This Essay addresses the question of whether challenges to legislation as exceeding Congress’ powers should be assessed on a facial or an as-applied basis, a question that rose to the fore in the Supreme Court’s recent decision in Tennessee v. Lane. The Essay begins by arguing that what distinguishes a facial challenge is that it involves an attack on some general rule embodied in the statute. ...

This study examined the ego identity and types of reflection among students faculty Psychology. To problem, research methods used were as follows: Differential Diagnosis Reflection, Method “Per-sonal Identity”, Personality Maturity Questionnaire. Reflection was to diagnose type a stable personality trait. It revealed that prevailing students-psychologists systemic. Systemic only indicator level...

Capitalizing upon Implicit Leadership Theories (ILTs) and Leader-member exchange (LMX), this research aims to explore the relationship between the congruence of employees’ ILTs and those traits of their managers and employees’ supportiveness, resistance and behavioral creativity for change. After distributing three questionnaires at three points among teachers, 296 participants completed all th...

this paper is a chronological survey, with no proofs, of a direction in categorical algebra, which is based on categorical galois theory and involves generalized central extensions, commutators, and internal groupoids in barr exact mal’tsev and more general categories. galois theory proposes a notion of central extension, and motivates the study of internal groupoids, which is then used as an a...

This paper attempts to generalize universal algebras on classical sets to $L$-sets when $L$ is a GL-quantale. Some basic notions of fuzzy universal algebra on an $L$-set are introduced, such as subalgebra, quotient algebra, homomorphism, congruence, and direct product etc. The properties of them are studied. $L$-valued power algebra is also introduced and it is shown there is an onto homomorphi...