Výsledky vyhledávání - "Şerban Raianu"

The Antipode of a Dual Quasi-Hopf Algebra with Nonzero Integrals is Bijective

Autor: Margaret Beattie, Şerban Raianu, Miodrag Cristian Iovanov

Publikováno v: Algebras and Representation Theory. 12:251-255

For a Hopf algebra A of arbitrary dimension over a field K, it is well-known that if A has nonzero integrals, or, in other words, if the coalgebra A is co-Frobenius, then the space of integrals is one-dimensional and the antipode of A is bijective. B

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d68fd1e2d7d1ae590c6c88243a7dcdd7
https://doi.org/10.1007/s10468-009-9148-3

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Computing areas using Green's Theorem and a Software Planimeter

Autor: Paul Davis, Şerban Raianu

Publikováno v: Teaching Mathematics and its Applications: An International Journal of the IMA. 26:103-108

According to the Merriam-Webster dictionary, a planimeter is `an instrument for measuring the area of a plane figure by tracing its boundary line'. Even without knowing how a planimeter works, it is clear from the definition that the idea behind it i

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::93b89322b371d2d7b572490bbb8a3614
https://doi.org/10.1093/teamat/hrl017

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Lifting of Nichols algebras of typeB 2

Autor: Margaret Beattie, Sorin Dascalescu, Şerban Raianu

Publikováno v: Israel Journal of Mathematics. 132:1-28

We compute liftings of the Nichols algebra of a Yetter-Drinfeld module of Cartan typeB 2 subject to the small restriction that the diagnonal elements of the braiding matrix are primitiventh roots of 1 with oddn≠5. As well, we compute the liftings o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::38fe34ec89db302d83153d077a5468b5
https://doi.org/10.1007/bf02784503

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FINITE HOPF-GALOIS EXTENSIONS EQUIVALENT TO CROSSED PRODUCTS

Autor: Şerban Raianu, Manuel Saorín

Publikováno v: Communications in Algebra. 29:4871-4882

One of the possible reduction techniques in Graded Ring Theory is to reduce the study of a graded ring to the study of another graded ring whose grading is simpler. An illustration of this situatio...

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::830d38ae68e2bea0941fd95637326c7b
https://doi.org/10.1081/agb-100106791

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[Untitled]

Autor: Sorin Dascalescu, Margaret Beattie, F. Van Oystaeyen, Şerban Raianu

Publikováno v: Applied Categorical Structures. 6:223-237

We show that the two-sided two-cosided Hopf modules are in some case generalized Hopf modules in the sense of Doi. Then the equivalence between two-sided two-cosided Hopf modules and Yetter—Drinfel’d modules, proved in [8], becomes an equivalence

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::66a3d93a06370ea7515ccdc63def41b6
https://doi.org/10.1023/a:1008660029543

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Galois Extensions for Co-Frobenius Hopf Algebras

Autor: Margaret Beattie, Şerban Raianu, Sorin Dascalescu

Publikováno v: Scopus-Elsevier

ForHan infinite dimensional co-Frobenius Hopf algebra over a fieldk, andAanH-comodule algebra, the smash productA#H*ratis linked to the ring of coinvariantsAcoHby a Morita context. We use the Morita setting to show that for co-FrobeniusH, equivalent

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b1c251652e8466cd3147c4a507fedff9
https://doi.org/10.1006/jabr.1997.7146

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