204 research outputs found

    On locally regular Rees matrix semigroups

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    Az ügyfélnyilvánosság kérdései: közigazgatási jogi kiindulópont a büntetőeljárásban

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    The right to a fair trial by an independent and impartial tribunal is a fundamental right everybody is entitled to. Through such right, transparency and publicity become an important guarantee of the administration of justice, in a broader sense, and as a procedural principle of different court proceedings as well. The administration of justice and the judiciary is a fundamental subsystem, an independent branch of public power of modern democracies, with the publicity of court proceedings being an organic principle thereof. The need to realize responsibility and hold people accountable as part of this structure has more or less the same age as humankind itself. The judicial proceedings are community acts, with an indispensable part being played by the individual. Members of a community were and are present in the proceedings, not only as “controllers”, but also in concrete, distinguishable procedural roles, either as plaintiffs or defendants thus clients. The paper examines a narrow cross-section of the publicity of criminal proceedings, the issue of the so-called “client publicity” by looking at how an administrative law concept can be applied to criminal proceedings, what the concept of client means in criminal proceedings, how client publicity can be enforced in criminal proceedings, and what are the consequences of violating the relevant rules. This paper, after a general overview of the principle of publicity, will examine the concepts of client in the legal literature, the rules that apply when a closed trial is ordered, and the consequences of breaching these rules

    Radicals of rings and pullbacks

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    AbstractGeneralizing various concrete radicals in associative rings like the nilradical, the Jacobson radical, and so on, A.G. Kurosh and S.A. Amitsur introduced an abstract notion of radical in the early 1950s. The basic notions of their general radical theory can be characterized by properties which are “almost” categorical – in the sense that they can be conveniently defined in the category of rings or even in suitable categories of Ω-groups but not in general categories. Here we are going to characterize radicals of associative rings by means of pullbacks, a notion which is of a purely categorical nature. Throughout the paper we shall work in the category C of associative rings (not necessarily with identity), just calling them “rings”. We hope that our two categorical characterizations of semisimple classes in C can provide natural general frameworks for radical theory, just as localizations do for torsion theories

    A simplicial approach to factorization systems and Kurosh–Amitsur radicals

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    AbstractRegarding categories as simplicial sets via the nerve functor, we extend the notion of a factorization system from morphisms in a category, to 1-simplexes in an arbitrary simplicial set. Applied to what we call the simplicial set of short exact sequences, it gives the notion of Kurosh–Amitsur radical. That is, we present a unified approach to factorization systems and radicals

    NON-POINTED EXACTNESS, RADICALS, CLOSURE OPERATORS

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    In this paper it is shown how nonpointed exactness provides a framework which allows a simple categorical treatment of the basics of Kurosh-Amitsur radical theory in the nonpointed case. This is made possible by a new approach to semi-exactness, in the sense of the first author, using adjoint functors. This framework also reveals how categorical closure operators arise as radical theories

    A középkor főbb krónikásai : a magyarok honfoglalása koráig

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