arXiv Open Access 2023

Rings Additively Generated by Periodic Elements

M. H. Bien P. V. Danchev M. Ramezan-Nassab

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Abstrak

In the present paper, as a generalization of the classical periodic rings, we explore those rings whose elements are additively generated by two (or more) periodic elements by calling them additively periodic. We prove that, in some major cases, additively periodic rings remain periodic too; this includes, for instance, algebraic algebras, group rings, and matrix rings over commutative rings. Moreover, we also obtain some independent results for the new class of rings; for example, the triangular matrix rings retain that property.

Topik & Kata Kunci

math.RA math.RT

Penulis (3)

M. H. Bien

P. V. Danchev

M. Ramezan-Nassab

Format Sitasi

APA MLA BibTeX

Bien, M.H., Danchev, P.V., Ramezan-Nassab, M. (2023). Rings Additively Generated by Periodic Elements. https://arxiv.org/abs/2311.06966

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓