arXiv Open Access 2014

Internal Cancellation over SSP Rings

Huanyin Chen

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Abstrak

A ring is SSP if the sum of two direct summands is a direct summand. A ring has internal cancellation if every its (von Neumann) regular elements are unit-regular. We show that in an SSP ring having internal cancellation, any regular element is special clean. Our main results also imply that for any SSP ring internal cancellation and idempotent stable range $1$ coincide with each other. Internal cancellation over SSP was then characterized by special clean elements.

Topik & Kata Kunci

math.RA

Penulis (1)

Huanyin Chen

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APA MLA BibTeX

Chen, H. (2014). Internal Cancellation over SSP Rings. https://arxiv.org/abs/1408.0781

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Informasi Jurnal

Tahun Terbit: 2014
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓