A note on permutability in varieties

A note on Abelian varieties embedded in quadrics

We show that if A is a d-dimensional abelian variety in a smooth quadric of dimension 2d then d = 1 and A is an elliptic curve of bidegree (2, 2) on a quadric. This extends a result of Van de Ven which says that A only can be embedded in P when d = 1 or 2. Mathematics Subject Classifications (1991): Primary, 14K05; secondary, 14E25, 14C99.

A Note on Gabriel Uzquiano’s ‘varieties of Indefinite Extensibility’

On a graph related to permutability in finite groups

For a finite group G we define the graph Γ(G) to be the graph whose vertices are the conjugacy classes of cyclic subgroups of G and two conjugacy classes A, B are joined by an edge if for some A ∈ A, B ∈ B A and B permute. We characterise those groups G for which

NOTES ON CONGRUENCE n-PERMUTABILITY AND SEMIDISTRIBUTIVITY

In [1] T. Dent, K. Kearnes and Á. Szendrei define the derivative, Σ′, of a set of equations Σ and show, for idempotent Σ, that Σ implies congruence modularity if Σ′ is inconsistent (Σ′ |= x ≈ y). In this paper we investigate other types of derivatives that give similar results for congruence n-permutable for some n, and for congruence semidistributivity. In a recent paper [1] T. Dent, K. Kearne...

a study on rate making and required reserves determination in reinsurance market: a simulation

reinsurance is widely recognized as an important instrument in the capital management of an insurance company as well as its risk management tool. this thesis is intended to determine premium rates for different types of reinsurance policies. also, given the fact that the reinsurance coverage of every company depends upon its reserves, so different types of reserves and the method of their calc...