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    Amalgams of free inverse semigroups

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    We study inverse semigroup amalgams of the form of free inverse semigroups S,T with core an arbitrary finitely generated inverse subsemigroup of S and T. We show that the word problem is decidable for any such amalgam. This is in contrast to the general situation for semigroup amalgams, where the word problem for a semigroup amalgam is in general undecidable, even if S and T have decidable word problem, U is a free semigroup, and the membership problem for U in S and T is decidable. We also obtain a number of results concerning the structure of such amalgams

    I PROBLEMI IN MATEMATICA E IL SOFTWARE DIDATTICO IN SITUAZIONI DI DIFFICOLTA'DI APPRENDIMENTO

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    Una consolidata esperienza nell’uso del software didattico, ricerche nazionali e internazionali su problemi legati all’apprendimento in matematica con allievi disabili e le indicazioni per il nuovo Curricolo della Scuola dell’obbligo, ci spingono a rilanciare la questione dell’insegnamento– apprendimento della matematica e del legame tra i problemi e il software dedicato. In particolare analizziamo in questo l’intreccio tra l’insegnamento per problemi, il software didattico e l’apprendimento in classe in presenza di allievi con disabilità cognitive, attraverso uno studio attento dei due software “Alla ricerca della Scimmia Bianca” e “Pago Pago” prodotti dalla cooperativa Anastasis, Bologna

    Going Beyond Counting First Authors in Author Co-citation Analysis

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    The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
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