Hybrid (b, c)-inverses and five finiteness properties in rings, semigroups, and categories
DOI10.1080/00927872.2020.1869246zbMath1485.16002OpenAlexW3125029055MaRDI QIDQ5858472
Publication date: 13 April 2021
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927872.2020.1869246
ringsemigroupcategorygeneralized inverseannihilatorouter inversestrong \(\pi\)-regularityfiniteness condition\((b, c)\)-inversehybrid \((b, c)\)-inverse
Ideal theory for semigroups (20M12) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Chain conditions, growth conditions, and other forms of finiteness for associative rings and algebras (16P99) Other classes of modules and ideals in associative algebras (16D80) General theory of categories and functors (18A99) General and miscellaneous (16B99) Generalized inverses (associative rings and algebras) (16U90)
Related Items (5)
Cites Work
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- Left and right generalized inverses
- Bass's first stable range condition
- Generalized inverses. Theory and applications.
- A class of outer generalized inverses
- \(K\)-theory and stable algebra
- Strongly 𝜋-regular rings have stable range one
- Further results on several types of generalized inverses
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