2,034 research outputs found

    A reduction theorem for tau -rigid modules

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    We prove a theorem which gives a bijection between the support Ï„ -tilting modules over a given finite-dimensional algebra A and the support Ï„ -tilting modules over A / I, where I is the ideal generated by the intersection of the center of A and the radical of A. This bijection is both explicit and well-behaved. We give various corollaries of this, with a particular focus on blocks of group rings of finite groups. In particular we show that there are Ï„ -tilting-finite wild blocks with more than one simple module. We then go on to classify all support Ï„ -tilting modules for all algebras of dihedral, semidihedral and quaternion type, as defined by Erdmann, which include all tame blocks of group rings. Note that since these algebras are symmetric, this is the same as classifying all basic two-term tilting complexes, and it turns out that a tame block has at most 32 different basic two-term tilting complexes. We do this by using the aforementioned reduction theorem, which reduces the problem to ten different algebras only depending on the ground field k, all of which happen to be string algebras. To deal with these ten algebras we give a combinatorial classification of all Ï„ -rigid modules over (not necessarily symmetric) string algebras

    Transit-time devices as local oscillators for frequencies above 100 GHz

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    Very promising preliminary experimental results have been obtained from GaAs IMPATT diodes at F-band frequencies (75 mW, 3.5 percent at 111.1 GHz and 20 mW, 1.4 percent at 120.6 GHz) and from GaAs TUNNETT diodes at W-band frequencies (26 mW, 1.6 percent at 87.2 GHz and 32 mW, 2.6 percent at 93.5 GHz). These results indicate that IMPATT, MITATT and TUNNETT diodes have the highest potential of delivering significant amounts of power at Terahertz frequencies. As shown recently, the noise performance of GaAs W-band IMPATT diodes can compete with that of Gunn devices. Since TUNNETT diodes take advantage of the quieter tunnel injection, they are expected to be especially suited for low-noise local oscillators. This paper will focus on the two different design principles for IMPATT and TUNNETT diodes, the material parameters involved in the design and some aspects of the present device technology. Single-drift flat-profile GaAs D-band IMPATT diodes had oscillations up to 129 GHz with 9 mW, 0.9 percent at 128.4 GHz. Single-drift GaAs TUNNETT diodes had oscillations up to 112.5 GHz with 16 mW and output power levels up to 33 mW and efficiencies up to 3.4 percent around 102 GHz. These results are the best reported so far from GaAs IMPATT and TUNNETT diodes

    Time to reappraise or distract? Temporal and situational context in emotion regulation in daily life

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    Contextual factors influence how people regulate their everyday emotions. While daily life is rich with situations that evoke emotion regulation, few studies have broadly investigated the role of context in regulating emotions in response to naturally occurring negative events. In this study, we use a structured diary technique - the Experience Sampling Method - to test how different types of contextual factors are associated with using reappraisal and distraction to regulate daily emotions in N = 74 young adults from the general population. The following contextual factors were assessed: time of the day, weekday, tiredness, event stressfulness, and event type. We found that higher stressfulness of negative events was associated with using more distraction within- and between-person and using more reappraisal between persons. Time of day and weekday were not associated with reappraisal or distraction use, suggesting that variation in people’s external environments due to temporal patterns does not influence reappraisal or distraction use. However, tiredness was positively associated with distraction and reappraisal use within persons. Exploratory analyses suggested that experiencing time pressure affords less distraction use, and that experiencing physical discomfort affords less reappraisal use. These findings underscore the dynamic nature of emotion regulation, and the importance of context in everyday emotion regulation
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