Star-regularity and regular completions

In this paper we establish a new characterisation of star-regular categories, using a property of internal reflexive graphs, which is suggested by a recent result due to O. Ngaha Ngaha and the first author. We show that this property is, in a suitable sense, invariant under regular completion of a category in the sense of A. Carboni and E. M. Vitale. Restricting to pointed categories, where star-regularity becomes normality in the sense of the second author, this reveals an unusual behaviour of the exactness property of normality (i.e. the property that regular epimorphisms are normal epimorphisms) compared to other closely related exactness properties studied in categorical algebra.Comment: 13 page

The endomorphisms monoids of graphs of order n with a minimum degree n − 3

We characterize the endomorphism monoids, End(G), of the generalized graphs G of order n with a minimum degree n − 3. Criteria for regularity, orthodoxy and complete regularity of those monoids based on the structure of G are given

On monoids of endomorphisms of a cycle graph

In this paper we consider endomorphisms of an undirected cycle graph from Semigroup Theory perspective. Our main aim is to present a process to determine sets of generators with minimal cardinality for the monoids $wEnd(C_n)$ and $End(C_n)$ of all weak endomorphisms and all endomorphisms of an undirected cycle graph $C_n$ with $n$ vertices. We also describe Green's relations and regularity of these monoids and calculate their cardinalities

Advancing group epistemic practices in the resolution of interdisciplinary societal dilemmas

The present paper inquires whether a meticulous program designed to resolve Interdisciplinary Societal Dilemmas through dialogic argumentation advances epistemic practices. To delineate how epistemic practices are manifested in classroom discussions, we adopted the Actor-Network Theory (ANT), which explores the interactions and agencies of human and non-human actors. ANT analyses uncover the power these actors exert on each other and help recognize the networks that these actors create or dissolve. They also delineate how epistemic practices emerge and are shaped in these networks. We identified four epistemic practices in the discussions: (1) taking a reasoned position, (2) integrating knowledge from different disciplines, (3) weighing pros and cons before taking a complex position, and (4) role-playing in a democratic game. We show that the type of discourse developed in the program was mostly dialogic argumentation. In addition, we demonstrate how teachers often inhibit these advancements. Indeed, in the case of integrating knowledge from different disciplines, teachers’ role is central, but the emerged actors’ network is often non-dialogic. Moreover, we show how non-human actors shape the interactions in networks as well as the formation of knowledge and agency. We conclude that: (a) the design of activities for resolving interdisciplinary societal dilemmas provides many opportunities for advancing epistemic practices, (b) these practices are mostly advanced through dialogic argumentation, but (c) more efforts should be invested in affording interdisciplinary argumentation

March 29, 2004

The Breeze is the student newspaper of James Madison University in Harrisonburg, Virginia

First Class: Gladys Sakowich Campus Center Opens

https://scholarworks.merrimack.edu/merrimack_magazine/1033/thumbnail.jp

The Problem of Tonal Disunity in Sergeĭ Rachmaninoff\u27s All-Night Vigil, op. 37

Recent English-language scholarship has given considerable attention to the issue of tonal disunity, particularly the concepts of tonal pairing, directional tonality, and double-tonic complex. Relatively little attention, however, has been given to Russian music, specifically liturgical repertoires, where tonal centricity has historically been weaker than in most tonal music. This dissertation investigates tonal disunity in Russian sacred works, with special emphasis on Rachmaninoff\u27s All-Night Vigil (1915). This work, though in many ways tonal, relies largely on the structural principles of Russian sacred repertoire, a reliance that is especially evident in movements that challenge traditional Western norms of monotonality. The order of the chapters is defined by a motion from theory to analysis. After a brief historical introduction to Russian liturgical music and the Vigil (Chapter 1), Chapter 2 offers a study of the Russian concept of mutability (peremennost\u27), which refers to tonal or modal decentralization, and provides a larger theoretical context by discussing related concepts that originate in English- and German-language sources. Chapter 3 applies all these concepts in the analysis of church music of Rachmaninoff\u27s time (and slightly earlier). Chapters 4 through 6 focus on three movements from the Vigil that defy monotonal reading, using Schenkerian analytical technique. Movement 12 exhibits relative mutability (pairing of relative keys) at all levels, including the background; movement 1 displays multiple centers related to a proto-harmonic structure (Andreĭ Miasoedov\u27s term); and movement 2 has a relative-mutable structure extremely decentralized by the weakness and indefiniteness of closure. Further specific contributions of this work include (1) experimentation with the Schenkerian analysis of non-monotonal works, a task that has not yet been undertaken for this specific repertoire; (2) a study of cadence in Russian church music; (3) the occasional combination of Schenkerian (linear) and Riemannian (functional) analytical approaches; (4) a theoretical development of the recent Russian notion of proto-harmony; and (5) the introduction of the term common church practice to refer to the anonymous repertoire routinely used in the Russian Orthodox Church