‎We firstly prove the completeness of the category of crossed modules in a modified category of interest‎. ‎Afterwards‎, ‎we define pullback crossed modules and pullback cat objects that are both obtained by pullback diagrams with extra structures on certain arrows‎. ‎These constructions unify many corresponding results for the cases of groups‎, ‎commutative algebras and can also be adapted to ...

We study representation theory of quantizations Nakajima quiver varieties associated to bouquet quivers. show that there are no finite dimensional representations the <mml:sema...

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Here we study the behaviour of spin 0 sector of DKP field in spaces with torsion. First we show that in a Riemann-Cartan manifold DKP field presents an interaction with torsion when minimal coupling is performed, contrary to the behaviour of KG field, a result that breaks the usual equivalence between DKP and KG fields. Next we analyse the case of Teleparallel Equivalent of General Relativity (...

Given an LCD group code C in a group algebra KG, we inspect kinship between C and G, more precisely between the subgroup structures of G and C. When C is MDS, the inter relation between K and G becomes more impressive. Application of Sylow theorem facilitated us to explore the inter relation between G and K (when C is LCD and MDS) in more general way and finally we get the result of Cruz and Wi...

We find a relationship between regular embeddings of G, an elementary abelian p-group of order p, into unipotent upper triangular matrices with entries in Fp and commutative dimension n degree 2 polynomial formal groups with nilpotent upper triangular structure matrices. We classify the latter when n = 3 up to linear isomorphism, and use that classification to determine the number of Hopf Galoi...

73 Assignee: Vita Zahnfabrik H. Rauter GmbH & OTHER PUBLICATIONS Co. KG. Bad Sacki G O , E5ad SacKIngen, Uermany Funkschau Artuell, vol. 18, 1986, p. 7, “Frankreich: Zah t d C ter. 21 Appl. No.: 08/540,751 nersaLZ auS dem Uomputer Technik, Dental-Labor, vol. XXXV, Heft Apr. 1987, pp. 22 Filed: Oct. 11, 1995 479–482, “Das Hi-Ceram-Verfahren Metall freie Kronen O O auf einem Keramikgertist'. Rela...