Search results for "Identitie"

Exploring the Normative Foundation of Journalism Education : Nordic Journalism Educators’ Conceptions of Future Journalism and Professional Qualifica…

2022

This article deals with Nordic journalism educators’ conceptions of journalism by placing the concept of normativity at the center. The values, norms and ideas concerning journalism and journalistic practice have previously been studied by journalists and journalism students around the world and in the Nordics, while the Nordic journalism educators’ conceptions have remained more or less without attention. Nevertheless, journalism educators play a crucial role in defining what journalism is and what it is not, and thus largely affect future practitioners’ ideas of journalism. Using a questionnaire that has been employed in previous studies, journalism educators within the …

On Codimensions of Algebras with Involution

2020

Let A be an associative algebra with involution ∗ over a field F of characteristic zero. One associates to A, in a natural way, a numerical sequence \(c^{\ast }_n(A),\)n = 1, 2, …, called the sequence of ∗-codimensions of A which is the main tool for the quantitative investigation of the polynomial identities satisfied by A. In this paper we focus our attention on \(c^{\ast }_n(A),\)n = 1, 2, …, by presenting some recent results about it.

Kemer, A; Averyanov, I. Some problems in PI-theory (Advances in algebra and combinatorics).

2008

This paper is devoted to a review of some of the most significant results obtained in the theory of polynomial identities and trace polynomial identities. Some of the most important problems in this area concern the relation between identities in characteristic 0 and p>0 and the classification of prime varieties. Here the authors present their achievements on the subject and makes some conjectures. Among others they give results on the classification of the multilinear identities of the prime subvarieties of the variety generated by the algebra of 2X2 matrices over a field of positive characteristic.

Matrix algebras with degenerate traces and trace identities

2022

In this paper we study matrix algebras with a degenerate trace in the framework of the theory of polynomial identities. The first part is devoted to the study of the algebra $D_n$ of $n \times n$ diagonal matrices. We prove that, in case of a degenerate trace, all its trace identities follow by the commutativity law and by pure trace identities. Moreover we relate the trace identities of $D_{n+1}$ endowed with a degenerate trace, to those of $D_n$ with the corresponding trace. This allows us to determine the generators of the trace T-ideal of $D_3$. In the second part we study commutative subalgebras of $M_k(F)$, denoted by $C_k$ of the type $F + J$ that can be endowed with the so-called st…

Trace identities and almost polynomial growth

2021

In this paper we study algebras with trace and their trace polynomial identities over a field of characteristic 0. We consider two commutative matrix algebras: $D_2$, the algebra of $2\times 2$ diagonal matrices and $C_2$, the algebra of $2 \times 2$ matrices generated by $e_{11}+e_{22}$ and $e_{12}$. We describe all possible traces on these algebras and we study the corresponding trace codimensions. Moreover we characterize the varieties with trace of polynomial growth generated by a finite dimensional algebra. As a consequence, we see that the growth of a variety with trace is either polynomial or exponential.

Polynomial identities for the Jordan algebra of upper triangular matrices of order 2

2012

Abstract The associative algebras U T n ( K ) of the upper triangular matrices of order n play an important role in PI theory. Recently it was suggested that the Jordan algebra U J 2 ( K ) obtained by U T 2 ( K ) has an extremal behaviour with respect to its codimension growth. In this paper we study the polynomial identities of U J 2 ( K ) . We describe a basis of the identities of U J 2 ( K ) when the field K is infinite and of characteristic different from 2 and from 3. Moreover we give a description of all possible gradings on U J 2 ( K ) by the cyclic group Z 2 of order 2, and in each of the three gradings we find bases of the corresponding graded identities. Note that in the graded ca…

Trace Identities on Diagonal Matrix Algebras

2020

Let Dn be the algebra of n × n diagonal matrices. On such an algebra it is possible to define very many trace functions. The purpose of this paper is to present several results concerning trace identities satisfied by this kind of algebras.

Identidades y representaciones del Trabajo Social.

2005

En nuestro trabajo, presentamos el conocimiento de la realidad social desde las dimensiones constructivista e interaccionista, teniendo en cuenta el punto de vista del "público", desde la posición de reconocer una mayor riqueza en el conocimiento que se obtiene desde la "intersubjetividad". En el proceso de investigación, llegamos a la complementariedad metodológica, valiéndonos del enfoque cuantitativo para construir las "imágenes", objetivas y mediante el enfoque cualitativo, contando con la perspectiva del estudio de un caso, las audiencias de una serie "Raquel busca su sitio" obtenemos las imágenes del público o intersubjetivas. Ambos componentes, las imágenes y el público del Trabajo S…

Diritti, indentita' e pluralismo

2012

Contatti di popoli ed etnogenesi delle tribù nomadi sahariane

2006

The contribution focuses on the problem of mobility in the Roman world as a means of contact and collaboration. North Africa was in ancient times a land of cultural exchange, of passage of peoples and people. The research dwells on local identities, studies the origins of these peoples, discusses and tries to understand the ancient dynamics, which led them to clash and meet.