Titlebook: Rings and Geometry; Rüstem Kaya,Peter Plaumann,Karl Strambach Book 1985 D. Reidel Publishing Company 1985 algebra.algebraic geometry.commu

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Applications of Results on Generalized Polynomial Identities in Desarguesian Projective Spacesurves are shown, on one hand, by using methods of projective geometry as well as linear algebra and, on the other hand, by applying results on the non-existence of certain types of ordinary and generalized polynomial identities with coefficients in a not necessarily commutative field.

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Topics in Geometric Algebra over Ringse fundamental theorem of projective geometry over a commutative ring; some theorems due to Klingenberg, Bass and Suslin on the structure of the general linear group over appropriate rings and some valuable notes of O’Meara’s on the automorphisms of linear groups over an integral domain.

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Coordinatization of Latticesomorphic to the lattice of linear subspaces of V. Then we construct a subring R ⊑ K, an R-submodule M ⊑ K and a lattice isomorphism f between L and the lattice of R-submodules of M with f[P] = {Rx|x∈M{0}}.