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arXiv · 2212.09601

On types of elements, Gelfand and strongly harmonic rings of skew PBW extensions over weak compatible rings

Andrés Chacón·Sebastián Higuera·Armando Reyes
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Abstract

We investigate and characterize several kinds of elements such as units, idempotents, von Neumann regular, $\pi$-regular and clean elements for skew PBW extensions over weak compatible rings. We also study the notions of Gelfand and Harmonic rings for these families of algebras. The results presented here extend those corresponding in the literature for commutative and noncommutative rings of polynomial type.

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Andrés Chacón, Sebastián Higuera, Armando Reyes. 2022-12-19. On types of elements, Gelfand and strongly harmonic rings of skew PBW extensions over weak compatible rings. https://arxiv.org/abs/2212.09601

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