Special clean elements, perspective elements and perspective rings - Archive ouverte HAL
Article Dans Une Revue Journal of Algebra and Its Applications Année : 2022

Special clean elements, perspective elements and perspective rings

Résumé

Motivated by the idea of perspectivity of rings and modules, we introduce perspective elements of a ring. We notably prove that perspective elements form a proper subset of special clean elements, and that perspectivity of elements is a left-right symmetric property. An equational characterization of perspective elements is also given and examples are provided.
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Dates et versions

hal-03765350 , version 1 (31-08-2022)

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Citer

Xavier Mary. Special clean elements, perspective elements and perspective rings. Journal of Algebra and Its Applications, In press, ⟨10.1142/S0219498823500901⟩. ⟨hal-03765350⟩

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