On the Picard group of involutive algebras and coalgebras
We study how Hilbert bimodules correspond in the algebraic case to hermitian Morita equivalences and consequently we obtain a description of the hermitian Picard group of a commutative involutive algebra A as the semidirect product of the classical hermitian Picard group of A and the automorphisms o...
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| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
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Marcel Dekker Inc.
1998
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
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| LEADER | 04120caa a22004457a 4500 | ||
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| 001 | PAPER-2765 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518203213.0 | ||
| 008 | 190411s1998 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-25844441105 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Farinati, M.A. | |
| 245 | 1 | 3 | |a On the Picard group of involutive algebras and coalgebras |
| 260 | |b Marcel Dekker Inc. |c 1998 | ||
| 270 | 1 | 0 | |m Solotar, A.; Depto. de Matemática, Fac. de Cs. Exactas y Naturales, Ciudad Universitaria Pab I, 1428, Buenos Aires, Argentina; email: asolotar@dm.uba.ar |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a Abadie, B., Exel, R., Hilbert C*-bimodules over commutative C* -algebras and an isomorphism condition for quantum Heisenberg manifolds (1997) Rev. Math.Phys., 9 (4), pp. 411-423 | ||
| 504 | |a Cohen, M., A Morita context related to finite automorphism groups of rings (1985) Pacific J. Algebra, 95, pp. 153-172 | ||
| 504 | |a Farinati, M.A., Solotar, A.L., Morita equivalence for positive Hochschild homology and dihedral homology (1996) Comm. in Alg., 24 (5), pp. 1793-1807 | ||
| 504 | |a Farinati, M.A., Solotar, A.L., Morita - Takeuchi equivalence, cohomology of coalgebras and Azumaya coalgebras Lecture Notes Series, , To appeal in "Rings, Hopf algebras and Brauer groups", Ed. Marcel Dekker | ||
| 504 | |a Frölich, A., The Picard group of commutative rings (1973) Trans. A.M.S., 180, pp. 1-32 | ||
| 504 | |a Hahn, A., An hermitian Morita theorem for algebras with antistructure (1985) J.of Alg., 93, pp. 215-235 | ||
| 504 | |a Morita, K., Duality of modules and its applications to the theory of rings with minimium condition (1958) Sci. Rep. Tokyo Kyoiku Daigaku, Sect. A, 6, pp. 85-142 | ||
| 504 | |a Reyes Sanchez, M.V., Verhaeghe, P., Verschoren, A., The Relative Hermitian Picard Group (1995) Comm. in Alg., 23 (10), pp. 3915-3941 | ||
| 504 | |a Takeuchi, M., Morita theorems for categories of comodules (1977) J. Fac. Sci. Univ. Tokyo., 24, pp. 1483-1528 | ||
| 504 | |a Torrecillas, B., Zhang, Y.H., The Picard group of coalgebras (1996) Comm. in Alg., 24 (7), pp. 2235-2247 | ||
| 504 | |a Verhaeghe, P., (1996) Hermitian Morita Theory, , Thesis. Univeisiteit Antwerpen | ||
| 520 | 3 | |a We study how Hilbert bimodules correspond in the algebraic case to hermitian Morita equivalences and consequently we obtain a description of the hermitian Picard group of a commutative involutive algebra A as the semidirect product of the classical hermitian Picard group of A and the automorphisms of A commuting with the involution. We also obtain similar decomposition results on hermitian Picard groups of involutive coalgebras (C,ωC), which show, at least in the cocommutative case, that this hermitian Picard group differs considerably from the non hermitian one. |l eng | |
| 536 | |a Detalles de la financiación: Secretaría de Ciencia y Técnica, Universidad de Buenos Aires, CONICET-PIA 6213/96, EX130 | ||
| 536 | |a Detalles de la financiación: 'Research member of CONICET (Argentina) 'Research supported by UBACYT EX130, CONICET-PIA 6213/96 and Fundaci6n Antorchas | ||
| 593 | |a Depto. de Matemática, Fac. de Cs. Exactas y Naturales, Ciudad Universitaria Pab I, 1428, Buenos Aires, Argentina | ||
| 700 | 1 | |a Solotar, A. | |
| 773 | 0 | |d Marcel Dekker Inc., 1998 |g v. 26 |h pp. 2115-2137 |k n. 7 |p Commun. Algebra |x 00927872 |w (AR-BaUEN)CENRE-4243 |t Communications in Algebra | |
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| 856 | 4 | 0 | |u https://doi.org/10.1080/00927879808826264 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_00927872_v26_n7_p2115_Farinati |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00927872_v26_n7_p2115_Farinati |y Registro en la Biblioteca Digital |
| 961 | |a paper_00927872_v26_n7_p2115_Farinati |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||
| 999 | |c 63718 | ||