Found 148 Documents (Results 1–100)
Characterizations and properties of weak core inverses in rings with involution. (English) Zbl 07903772
Perturbations of group inverses of quaternion tensors under the QT-product. (English) Zbl 1542.15005
The generalized Drazin inverse of an operator matrix with commuting entries. (English) Zbl 1537.15002
Common properties of \(a\) and \(b\) satisfying \(ab^n = b^{n+1}\) and \(ba^n = a^{n+1}\) in Banach algebras. (English) Zbl 07825639
Algebraic theory of generalized inverses. (English) Zbl 1542.15001
Singapore: Springer; Beijing: Science Press (ISBN 978-981-99-8284-4/hbk; 978-981-99-8287-5/pbk; 978-981-99-8285-1/ebook). xi, 322 p. (2024).
Reviewer: Mohammad Sal Moslehian (Mashhad)
Left and right-Drazin inverses in rings and operator algebras. (English) Zbl 1540.16031
Reviewer: Peter Danchev (Sofia)
The \((b, c)\)-core inverse and its dual in semigroups with involution. (English) Zbl 07784734
Reviewer: Peter Danchev (Sofia)
Bridging Meadows and Sheaves. arXiv:2410.05921
Preprint, arXiv:2410.05921 [math.AC] (2024).
m-weak group inverse in a ring with proper involution. arXiv:2406.15745
Preprint, arXiv:2406.15745 [math.RA] (2024).
On Left and Right Semi-B-Fredholm Operators. arXiv:2402.09261
Preprint, arXiv:2402.09261 [math.FA] (2024).
On Classes of Fredholm Type Operators. arXiv:2401.01061
Preprint, arXiv:2401.01061 [math.FA] (2024).
Pseudo core invertibility and DMP invertibility in two semigroups of a ring with involution. (English) Zbl 07777206
On some generalized inverses and partial orders in \(\ast\)-rings. (English) Zbl 07766199
Reviewer: Peter Danchev (Sofia)
A class of outer generalized inverses and a note on Drazin’s finiteness conditions in rings and semigroups. (English) Zbl 07760726
New characterizations for the weighted \((b, c)\)-inverse in rings and their applications. (English) Zbl 07733893
Reverse order law and forward order law for the \((b,c)\)-inverse. (English) Zbl 1540.16032
MSC:
16U90
Multiplicative closure of generalized invertible elements in a ring. (English) Zbl 07722747
Reviewer: István Faragó (Budapest)
MSC:
16U90
Characterizations and representations of weak core inverses and \(m\)-weak group inverses. (English) Zbl 07717031
MSC:
16U90
Some new characterizations of EP elements, partial isometries and strongly EP elements in rings with involution. (English) Zbl 1515.16036
Intermixing pairs of generalized inverses. (English) Zbl 07702169
Reviewer: Peter Danchev (Sofia)
Pseudo core invertibility in a certain finite-dimensional \(*\)-algebra generated by two projections. (English) Zbl 07692677
Reviewer: István Faragó (Budapest)
EP-like properties of \((b, c)\)-inverses. (English) Zbl 1522.20220
Reviewer: Sanjib Kumar Datta (Kalyani)
A new class of generalized inverses in semigroups and rings with involution. (English) Zbl 1535.16046
Reviewer: Peter Danchev (Sofia)
On generalized core-EP invertibility in a Banach algebra. arXiv:2309.09862
Preprint, arXiv:2309.09862 [math.FA] (2023).
Generalized inverses, ideals, and projectors in rings. arXiv:2304.06149
Preprint, arXiv:2304.06149 [math.RA] (2023).
Review of partial orders in rings defined by generalized inverses. (English) Zbl 1540.16030
Djordjević, Dragan S. (ed.), Topics in operator theory. Beograd: Matematički Institut SANU. Zb. Rad. (Beogr.) 20(28), 281-325 (2022).
Various types of the reverse order laws for the group inverses in rings. (English) Zbl 1520.16030
Djordjević, Dragan S. (ed.), Topics in operator theory. Beograd: Matematički Institut SANU. Zb. Rad. (Beogr.) 20(28), 83-112 (2022).
Characterizations for the core invertibility and EP-ness involving projections. (English) Zbl 1514.16032
Jacobson’s lemma for the generalized \(n\)-strong Drazin inverses in rings and in operator algebras. (English) Zbl 1509.16037
Perturbation results and forward order law for the Moore-Penrose inverse in rings with involution. (English) Zbl 1492.16043
On EP-nilpotent decomposition in *-rings. (English) Zbl 1524.16067
Reviewer: Jānis Cīrulis (Riga)
One-sided central Drazin inverses. (English) Zbl 1497.16039
MSC:
16U90
EP properties of \((b, c)\)-invertible matrices. (English) Zbl 1487.15007
Reviewer: K. C. Sivakumar (Chennai)
The pseudo core inverses of differences and products of projections in rings with involution. (English) Zbl 1513.16048
MSC:
16U90
Cline formula of strongly Drazin inverse. (Chinese. English summary) Zbl 1488.15063
A note on inclusion properties of generalized inverses in a ring. (Chinese. English summary) Zbl 1488.16107
Generalized Cline’s formula and generalized Jacobson’s lemma for pseudo core inverse. (Chinese. English summary) Zbl 1488.16104
Generalized Zhou inverses in rings. (English) Zbl 1497.16038
MSC:
16U90
Characterizations for the \(n\)-strong Drazin invertibility in a ring. (English) Zbl 1540.16033
Reviewer: Marjan Sheibani Abdolyousefi (Semnan)
Inclusion properties of generalized inverses in idempotent reflexive rings. (Chinese. English summary) Zbl 1488.16106
MSC:
16U90
Weighted Moore-Penrose inverses and weighted core inverses in rings with involution. (English) Zbl 1491.16040
Generalized inverses of elements and their polarities in rings. (English) Zbl 1492.16041
Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 109, 11 p. (2021).
MSC:
16U90
Moore-Penrose inverses in rings and weighted partial isometries in \(C^\ast \)-algebras. (English) Zbl 1499.46115
Outer inverses, minus partial orders, and triplet invariance. (English) Zbl 1488.16105
Reviewer: Mohammad Sal Moslehian (Mashhad)
Hybrid \((b, c)\)-inverses and five finiteness properties in rings, semigroups, and categories. (English) Zbl 1485.16002
Reviewer: Ivo Herzog (Columbus)
On a question of Drazin. (English) Zbl 1480.16067
Pseudo-inverses without matrices. (English) Zbl 1460.16040
Reviewer: Peter Danchev (Sofia)
The generalized inverses of the products of two elements in a ring. (English) Zbl 1501.16032
MSC:
16U90
p-Hirano inverses in rings. (English) Zbl 1513.16050
MSC:
16U90
Idempotents generated by weighted generalized inverses in rings with involution. (English) Zbl 1513.16040
One-sided \((b, c)\)-inverses in rings. (English) Zbl 1513.16049
MSC:
16U90
Algebraic theory of generalized inverses: algebraic basic knowledge and Moore-Penrose inverses. (English) Zbl 1499.16094
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