Twisted planes

Mathematics – Rings and Algebras

Scientific paper

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33 pages

Scientific paper

Let k be a commutative ring. We find and characterize a new family of twisted
planes (i. e. associative unitary k-algebra structures on the k-module k[X,Y],
having k[X] and and k[Y] as subalgebras).Similar results are obtained for the
k-module of two variables power series k[[X,Y]].

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