549 research outputs found

    Admissible Hom-Novikov-Poisson and Hom-Gelfand-Dorfman color Hom-algebras

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    The main feature of color Hom-algebras is that the identities defining the structures are twisted by even linear maps. The purpose of this paper is to introduce and give some constructions of admissible Hom-Novikov-Poisson color Hom-algebras and Hom-Gelfand-Dorfman color Hom-algebras. Their bimodules and matched pairs are defined and the relevant properties and theorems are given. Also, the connections between Hom-Novikov-Poisson color Hom-algebras and Hom-Gelfand-Dorfman color Hom-algebras is proved. Furthermore, we show that the class of admissible Hom-Novikov-Poisson color Hom-algebras is closed under tensor product.Comment: arXiv admin note: text overlap with arXiv:2106.03277; text overlap with arXiv:1010.3410 by other author

    Hom-associative algebras, Admissibility and Relative averaging operators

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    We introduce the notion of relative averaging operators on Hom-associative algebras with a representation. Relative averaging operators are twisted generalizations of relative averaging operators on associative algebras. We give two characterizations of relative averaging operators of Hom-associative algebras via graphs and Nijenhuis operators. A (homomorphic) relative averaging operator of Hom-associative algebras with respect to a given representation gives rise to Hom-associative (tri)dialgebras. By admissibility, a Hom-Jordan (tri)dialgebra and a Hom-(tri)Leibniz algebra can be obtained from Hom-associative (tri)dialgebra.Comment: arXiv admin note: text overlap with arXiv:2304.12593 by other author

    Kupershmidt operators on Hom-Malcev algebras and their deformation

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    The main feature of Hom-algebras is that the identities defining the structures are twisted by linear maps. The purpose of this paper is to introduce and study a Hom-type generalization of pre-Malcev algebras, called Hom-pre-Malcev algebras. We also introduce the notion of Kupershmidt operators of Hom-Malcev and Hom-pre-Malcev algebras and show the connections between Hom-Malcev and Hom-pre-Malcev algebras using Kupershmidt operators. Hom-pre-Malcev algebras generalize Hom-pre-Lie algebras to the Hom-alternative setting and fit into a bigger framework with a close relationship with Hom-pre-alternative algebras. Finally, we establish a deformation theory of Kupershmidt operators on a Hom-Malcev algebra in consistence with the general principles of deformation theories and introduce the notion of Nijenhuis elements.Comment: arXiv admin note: substantial text overlap with arXiv:2105.00606; text overlap with arXiv:1803.09287 by other author

    Would Carbon Pricing Reduce Deforestation? Insights from illustrative simulations of GTEM augmented with a land use change and forestry module

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    This paper describes a numerical implementation of the global trade and environment model (GTEM) augmented with a new land use change and forestry module developed in Pant (2010), under some extreme assumptions. Also described are the simplifications made to the structure of the module and additional simplifying assumptions made in deriving a stylised database to calibrate the module in a way that is consistent with the overall structure of GTEM and its underlying database. The results reported in this paper are based on a stylised database and parameter values, and extreme modelling assumptions. These are for illustrative purposes only and should not be used for policy design. Preliminary simulation results indicate that a higher carbon price: (i) discourages land clearing, both legal and illegal, (ii) reduces net emissions from land use change, (iii) reallocates land mainly from livestock production to forestry activity, and (iv) encourages investment in commercial forestry more than in environmental forestry as logs from native forests become more expensive. The magnitude of these results could alter substantially under more plausible assumptions regarding the carbon policy scenarios, population and technologies involving a switch from wood to non-wood products. The purpose of this technical paper is to seek expert advice and feedback on the analytical framework from the conference participants as well as identifying the need for critical data and, thereby, encouraging the development of a more realistic forestry related database and a consistent disaggregation of the GTAP database

    A non-abelian Hom-Leibniz tensor product and applications

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    The notion of non-abelian Hom–Leibniz tensor product is introduced and some properties are established. This tensor product is used in the description of the universal (α-)central extensions of Hom–Leibniz algebras. We also give its application to the Hochschild homology of Hom-associative algebras.The first and the second authors were supported by Ministerio de Economía y Competitividad (Spain) (European FEDER support included), [grant number MTM2016-79661-P]. The second author was also supported by Shota Rustaveli National Science Foundation, [grant number FR/189/5- 113/14]

    Bedeutung und Bekämpfung von Schadinsekten an Winterweizen und Winterraps in Schleswig-Holstein, 1999-2001, und der Trend der Insektizid-Behandlungen von 1999-2004

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    In the average of 1999 to 2004 winter wheat covered 64 % of the agricultural land of Schleswig-Holstein (331.000 ha), winter oilseed rape 31 %. These two important crops (covering 95 % of the acreage) were attacked in 1999 to 2001 by a) wheat: cereal leaf beetles (Oulema spp.Col., Chrysomelidae) and by cereal aphids (mainly Sitobion avenae and Metopolophium dirhodum; Hom., Aphididae; b) Oilseed rape: by pollen beetles (Meligethes aeneus F.; Col., Nitidulidae) and by the cabbage seed weevil Ceutorrhynchus assimlis (Payk.) (Col., Curculionidae). Studies (with six field experiments per crop, at two sites, 1999 to 2001) were done by the first author in the course of the work on a PhD thesis (Kirch 2006) to clarify the economic importance of these pests, and to look for the validity of the action thresholds published. Additionally, 51 farmers were inquired for their insecticide use, 1999 to 2004.Winterweizen bedeckte 1999-2004 64 % der Ackerfläche Schleswig-Holsteins, Winterraps 31 %. Die wichtigsten Schädlinge an Winterweizen waren die drei Getreideblattlausarten (Hom., Aphididae)(Sitobion avenae und Metopolophium dirhodum, selten Rhopalosiphum padi) und die beiden Oulema-Arten (Getreidehähnchen)(O. melanopus und O. lichenis) (Col., Chrysomelidae). An Winterraps traten im Untersuchungszeitraum auf: Meligethes aeneus (F.) (Rapsglanzkäfer) (Col., Nitidulidae) und Ceutorrhynchus assimilis (Payk.) (Kohlschotenrüßler) (Col., Curculionidae). In beiden Kulturen wurden sechs Feldversuche durchgeführt, mit frühen und späten Insektizid-Applikationen (an je zwei Standorten, mit vierfacher Wiederholung). Bei Weizen waren die Parzellen 50 m² groß, bei Raps 90 m². Bei Winterweizen zeigten beide Schaderreger-Gruppen negative Einflüsse auf den Ertrag, wenn sie nicht bei Bekämpfungsschwellen bekämpft wurden. Sowohl der Getreidehähnchen - als auch der Blattlausbefall waren signifikant negativ mit dem Ertrag korreliert. Die ökonomische Auswertung ergab, dass im Untersuchungszeitraum – bei Beachtung der Bekämpfungsschwellen - die frühe Bekämpfung der Getreidehähnchen-Larven wirtschaftlicher war als die spätere der Getreideblattläuse. Bei Winterraps erwies sich die Bekämpfung des Kohlschotenrüsslers als ertraglich und ökonomisch vorteilhaft, selbst ohne Auftreten von Dasineura brassicae (Winn.), der Kohlschotenmücke. Die Bekämpfung des Rapsglanzkäfers hingegen war nur in einem von sechs Versuchen ertragsmäßig und ökonomisch erfolgreich. Die Probleme bei diesem Schädling sind 1. die zu niedrige Bekämpfungsschwelle und 2. die Resistenz gegenüber synthetischen Pyrethroiden. Wurden in Schleswig-Holstein 1999 75.000 ha Ackerfläche mit Insektiziden behandelt (22.7 % AF), stieg die Fläche bis 2004 auf 220.000 (66.5 % AF). Die Anteile der einzelnen Wirkstoffe haben sich verändert

    A Non-abelian Tensor Product of Hom–Lie Algebras

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    Non-abelian tensor product of Hom–Lie algebras is constructed and studied. This tensor product is used to describe universal ( αα )-central extensions of Hom–Lie algebras and to establish a relation between cyclic and Milnor cyclic homologies of Hom-associative algebras satisfying certain additional condition.First and second authorswere supported by Ministerio de Economìa yCompetitividad (Spain) (European FEDER support included), Grant MTM2013-43687-P. Second author was supported by Xunta de Galicia, Grants EM2013/016 and GRC2013-045 (European FEDER support included) and by Shota Rustaveli National Science Foundation, Grant DI/12/5-103/11

    Double derivations of nn-Hom-Lie color algebras

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    We study the double derivation algebra D(L)\mathcal{D}(\mathcal{L}) of nn-Hom Lie color algebra L\mathcal{L} and describe the relation between D(L)\mathcal{D}(\mathcal{L}) and the usual derivation Hom-Lie color algebra Der(L).Der(\mathcal{L}). We prove that the inner derivation algebra Inn(L)Inn(\mathcal{L}) is an ideal of the double derivation algebra D(L).\mathcal{D}(\mathcal{L}). We also show that if L\mathcal{L} is a perfect nn-Hom Lie color algebra with certain constraints on the base field, then the centralizer of Inn(L)Inn(\mathcal{L}) in D(L)\mathcal{D}(\mathcal{L}) is trivial. In addition, we obtain that for every centerless perfect nn-Hom Lie color algebra L\mathcal{L}, the triple derivations of the derivation algebra Der(L)Der(\mathcal{L}) are exactly the derivations of Der(L).Der(\mathcal{L}).Comment: arXiv admin note: text overlap with arXiv:1912.10216 by other author

    Hom complexes of set systems

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    A set system is a pair S = (V (S), Delta(S)), where Delta(S) is a family of subsets of the set V(S). We refer to the members of Delta(S) as the stable sets of S. A homomorphism between two set systems S and T is a map f : V (S) -&gt; V(T) such that the preimage under f of every stable set of T is a stable set of S. Inspired by a recent generalization due to Engstrom of Lovasz's Hom complex construction, the author associates a cell complex Hom(S, T) to any two finite set systems S and T. The main goal of the paper is to examine basic topological and homological properties of this cell complex for various pairs of set systems.</p
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