Further results of special elements in rings with involution
Filomat, Tome 34 (2020) no. 10, p. 3381
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In this paper, we consider Moore-Penrose invertible, group invertible, and core invertible elements in rings with involution to characterize EP, generalized normal, generalized Hermitian elements and generalized partial isometries. As a consequence, we obtain new characterizations for elements in rings with involution to be normal and Hermitian elements.
Classification :
16W10, 15A09
Keywords: EP elements, normal elements, Hermitian elements, group inverse, Moore-Penrose inverse, core inverse
Keywords: EP elements, normal elements, Hermitian elements, group inverse, Moore-Penrose inverse, core inverse
Dijana Mosić; Sanzhang Xu; Julio Benítez. Further results of special elements in rings with involution. Filomat, Tome 34 (2020) no. 10, p. 3381 . doi: 10.2298/FIL2010381M
@article{10_2298_FIL2010381M,
author = {Dijana Mosi\'c and Sanzhang Xu and Julio Ben{\'\i}tez},
title = {Further results of special elements in rings with involution},
journal = {Filomat},
pages = {3381 },
year = {2020},
volume = {34},
number = {10},
doi = {10.2298/FIL2010381M},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2010381M/}
}
TY - JOUR AU - Dijana Mosić AU - Sanzhang Xu AU - Julio Benítez TI - Further results of special elements in rings with involution JO - Filomat PY - 2020 SP - 3381 VL - 34 IS - 10 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2010381M/ DO - 10.2298/FIL2010381M LA - en ID - 10_2298_FIL2010381M ER -
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