On some generalized inverses and partial orders in ∗-rings

DOI10.1142/s0219498823502560arXiv2205.07571OpenAlexW4297848399MaRDI QIDQ6087895

Dijana Mosić, Janko Marovt, Insa Cremer

Publication date: 16 November 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.07571

zbMATH Keywords

partial order\(\ast\)-ringRickart \(\ast\)-ring1MP-inverseMP1-inverse

Mathematics Subject Classification ID

Generalized inverses (associative rings and algebras) (16U90)

Cites Work

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• A note on partial orders of Hartwig, Mitsch, and Šemrl
• A further algebraic version of Cochran's theorem and matrix partial orderings
• On sets of elements in Rickart rings induced by partial orders
• From projectors to 1MP and MP1 generalized inverses and their induced partial orders
• On partial orders of operators
• Star, left-star, and right-star partial orders in Rickart ∗-rings
• On partial orders in Rickart rings
• Minus partial order in Rickart rings
• The diamond partial order in rings

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