2009Unpublished venueRequires access

An Affine Space over a Module

Tadeusz Ostrowski, Karol Dunajewski

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Abstract

Abstract. In the paper basic notions of an affine space over a linear space, usually called an affine space over a field, have been made generalizations in an affine space over a module. Some properties of the affine mapping in an affine space over a module are also investigated. Isomorphism of affine spaces associated with a module is considered as well.

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Abstract. In the paper basic notions of an affine space over a linear space, usually called an affine space over a field, have been made generalizations in an affine space over a module. Some properties of the affine mapping in an affine space over a module are also investigated. Isomorphism of affine spaces associated with a module is considered as well.

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Available abstract

Abstract. In the paper basic notions of an affine space over a linear space, usually called an affine space over a field, have been made generalizations in an affine space over a module. Some properties of the affine mapping in an affine space over a module are also investigated. Isomorphism of affine spaces associated with a module is considered as well.

Key concepts: Affine coordinate system, Affine transformation, Complex space, Affine hull, Affine representation, Affine combination, Affine plane (incidence geometry), Affine group

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