Ren, Beishang; Lin, Shixun A generalization for \(n\)-cocycles. (English) Zbl 1261.16032 ISRN Algebra 2012, Article ID 596741, 10 p. (2012). Summary: We give generalized definitions called type II \(n\)-cocycles and weak quasi-bialgebra and also show properties of type II \(n\)-cocycles and some results about weak quasi-bialgebras, for instance, construct a new structure of tensor product algebra over a module algebra on weak quasi-bialgebras. MSC: 16T10 Bialgebras Keywords:weak quasi-bialgebras; quasi-Hopf algebras; tensor product algebras; generalized cocycles PDFBibTeX XMLCite \textit{B. Ren} and \textit{S. Lin}, ISRN Algebra 2012, Article ID 596741, 10 p. (2012; Zbl 1261.16032) Full Text: DOI References: [1] S. Majid, Foundations of Quantum Group Theory, Cambridge University Press, Cambridge, UK, 1995. · Zbl 0942.81576 · doi:10.1017/CBO9780511613104 [2] V. G. Drinfel’d, “Quasi-Hopf algebras,” Leningrad Mathematical Journal, vol. 1, no. 6, pp. 1419-1457, 1989. · Zbl 0718.16033 [3] D. Bulacu, F. Panaite, and F. Van Oystaeyen, “Quasi-Hopf algebra actions and smash products,” Communications in Algebra, vol. 28, no. 2, pp. 631-651, 2000. · Zbl 0953.16033 · doi:10.1080/00927870008826849 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.