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We show that the parametrized braid group is isomorphic to the semi-direct product of the Steinberg group (of the ring) with the classical braid group.. The technical heart of the

We give an elementary proof of a result of Katz relating invariants of linked surfaces in P 4.. It is natural then to wonder whether this curve can tell us something about the

After that we give the proof of the main theorem which is based on Theorem 2.1 to be proved below and our results obtained previously [7] (see also [8]) for fractional integrals

Thus it is not possible to iterate the bar construction in order to determine the cohomology of iterated loop spaces Ω

to give a self-contained proof of our Theorem 1 up to the knowledge of perfect powers in the Fibonacci and Lucas sequence [1]. It would be interesting to give a completely

Proof: Since over a regular ring every submodule (of any module) is pure (Lemma 3), the result follows from Theorem 4.. As a final application we give a variation of a result due

In this note we explore how to use Gelfand-Mazur’s result in order to give a new proof of the Fundamental Theorem of Algebra (FTA in all what follows)..

In order to give a new proof of a theorem concerned with conformally symmetric Riemannian manifolds due to Roter and Derdzin- sky [8], [9] and Miyazawa [15], we have adopted