arXiv Open Access 2018

On radical and torsion theory in the category of S-acts

M. Haddadi S. M. N. Sheykholislami

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Abstrak

In abelian categories like the category of R-modules and even in the category S-Act 0 of S-acts with a unique zero, idempotent radicals and torsion theories are equivalent, and the τ-torsion and τ- torsion free classes of a torsion theory τ are closed under coproducts. These are not necessarily true in the category S-Act of S-acts. In this paper, we prove that torsion theories are equivalent with the Kurosh- Amitsur radicals. We, also, show that the class of Kurosh-Amitsur radicals is a reflective subcategory of Hoehnke radicals, as a poset.

Topik & Kata Kunci

math.RT math.RA

Penulis (2)

M. Haddadi

S. M. N. Sheykholislami

Format Sitasi

APA MLA BibTeX

Haddadi, M., Sheykholislami, S.M.N. (2018). On radical and torsion theory in the category of S-acts. https://arxiv.org/abs/1806.07075

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2018
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓