دورية أكاديمية

Inner-star and star-inner partial orders in ∗-rings.

التفاصيل البيبلوغرافية
العنوان: Inner-star and star-inner partial orders in ∗-rings.
المؤلفون: Marovt, Janko1,2 (AUTHOR) janko.marovt@um.si, Mosić, Dijana3 (AUTHOR) dijana@pmf.ni.ac.rs
المصدر: Journal of Algebra & Its Applications. Apr2024, p1. 18p.
مستخلص: The notions of inner-star and star-inner generalized inverses are introduced on the set of all regular elements in a ∗-ring ℛ. We thus extend the concept of inner-star and star-inner complex matrices. We study properties of these hybrid generalized inverses on the set ℛ† of all Moore–Penrose invertible elements in ℛ and thus generalize some known results. Partial orders that are induced by inner-star and star-inner inverses are introduced on ℛ†, their properties are examined, and their characterizations are presented. [ABSTRACT FROM AUTHOR]
قاعدة البيانات: Academic Search Index
الوصف
تدمد:02194988
DOI:10.1142/s0219498825502433