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- R. R. Khazal, S. Dascalescu
- Int. J. Math. Mathematical Sciences
- 2004

We study periodic rings that are finitely generated as groups. We prove several structure results. We classify periodic rings that are free of rank at most 2, and also periodic rings R such that R is finitely generated as a group and R/t(R) Z. In this way, we construct new classes of periodic rings. We also ask a question concerning the connection to… (More)

- S. Dascalescu, C. Nastasescu, A. Tudorache, Leonard Daus
- Applied Categorical Structures
- 2006

We study how the comultiplication on a Hopf algebra can be modified in such a way that the new comultiplication together with the original multiplication and a suitable antipode gives a new Hopf algebra. To this end, we have to study Harrison type cocycles, and it turns out that there is a relation with the Yang-Baxter equation. The construction is applied… (More)

- M. Beattie, S. Dascalescu, S. Raianu, Freddy Van Oystaeyen
- Applied Categorical Structures
- 1998

- S. DĂSCĂLESCU, G. VELICU
- 2010

Let C = IC(X) be the incidence coalgebra of an intervally finite partially ordered set X over a field. We investigate finiteness properties of C. We determine all C-balanced bilinear forms on C, and we deduce that C is left (or right) quasi-co-Frobenius if and only if C is left (or right) co-Frobenius, and this is equivalent to the order relation on X being… (More)

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