DOAJ Open Access 2025

Relatively hereditary radical classes of rings

Elena Cojuhari Barry Gardner

Abstrak

Radical classes of rings are studied which, while not hereditary, are closed with respect to ideals of some kind: maximal, prime and finite index ideals among others. In some, but not all cases, the ideal property is characterized by the corresponding class of factor rings; for instance maximal ideals are characterized by the simple rings. Such characterizations sometimes make it possible to prove results for several types of ideal simultaneously. Several results concerning hereditary radicals are generalized to various types of relatively hereditary ones, e.g. if RI⊲AR(I)=I∩R(A)

Topik & Kata Kunci

Mathematics

Penulis (2)

Elena Cojuhari

Barry Gardner

Format Sitasi

APA MLA BibTeX

Cojuhari, E., Gardner, B. (2025). Relatively hereditary radical classes of rings. https://doi.org/10.18514/MMN.2025.4569

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Informasi Jurnal

Tahun Terbit: 2025
Sumber Database: DOAJ
DOI: 10.18514/MMN.2025.4569
Akses: Open Access ✓