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Rigged modules over an operator algebra are a generalization of Hilbert modules over a C*-algebra. We characterize the rigged modules over an operator algebra A which are orthogonally complemented in C∞(A), the space of infinite columns with entries in A. We show that every such rigged module 'restricts' to a bimodule of Morita equivalence between appropriate stably isomorphic operator algebras. [ABSTRACT FROM AUTHOR]

This article explores the frames and topics of youth pastoral care based on an online survey with 314 priests, deacons, catechists and other pastoral care providers in the Church of Norway. The pastoral care conversations were most often spontaneously established in arenas for youth activities, but some appointments were also done in advance. In the survey, 50 different themes with set answer alternatives from never to very often were listed. Factor analyses generated five clusters of themes related to relationships and identity, faith and meaning, trauma and shame, sex and drugs, and personal and social difficulties. The study describes how youth pastoral care conversations cover a broad specter, which mirrors specific challenges among adolescents, indicating that this part of youth ministry might be of great importance. However, more knowledge is needed about the articulation and processing of these themes in the dialogues between the young person and the pastoral care provider, and about the adolescents’ own experiences and assessments of these conversations. [ABSTRACT FROM AUTHOR]

Microalgae have increased in demand as raw materials for functional biomolecules and biodiesel production. Various physiological and technological approaches have been investigated for maximizing productivity of microalgae. In the present study, we investigated the optimal condition of electrolysis-based water treatment system (EWTS) applicable to mass culture of marine microalgae. The first step was an electrolysis-based chlorination process of seawater for the on-site generation of biocide solution, and the initial total residual oxidants (TROs) of 20 mg/L was sufficient to completely eliminate contaminating aquatic organisms regardless incoming seawater quality such as high total organic carbon within 24 h. The second step was neutralization of residual TRO to prevent toxicity against microalgae culture, and sodium thiosulfate of 36 mg/L was optimum against the highest estimate of TRO 20 mg/L. Tetraselmis suecica cultured in seawater from neutralized EWTS showed similar growth curve with autoclaved seawater both in laboratory and outdoor culture conditions, which suggested that EWTS could be applied as an effective tool for the generation of basic media for biomass production of microalgae in outdoor culture system. [ABSTRACT FROM AUTHOR]