The role of semicentral idempotents in the decomposition of square matrices over a ring
Sign Up to like & getrecommendations! Published in 2025 at "Communications in Algebra"
DOI: 10.1080/00927872.2025.2522161
Abstract: Abstract The main result proves that every square n×n matrix over a ring with identity can be represented by semicentral idempotent matrices. Applications in nil-clean rings and arbitrary derivations of matrix rings are obtained. read more here.
Keywords: decomposition square; square matrices; semicentral idempotents; role semicentral ... See more keywords
Ordering of Transformed Recorded Electroencephalography (EEG) Signals by a Novel Precede Operator
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematics"
DOI: 10.1155/2021/6651445
Abstract: Recorded electroencephalography (EEG) signals can be represented as square matrices, which have been extensively analyzed using mathematical methods to extract invaluable information concerning brain functions in terms of observed electrical potentials; such information is critical… read more here.
Keywords: eeg signals; square matrices; recorded electroencephalography; electroencephalography eeg ... See more keywords
1D inverse and D1 inverse of square matrices
Sign Up to like & getrecommendations! Published in 2024 at "Miskolc Mathematical Notes"
DOI: 10.18514/mmn.2024.4339
Abstract: In this paper we introduce two new classes of inverses for square matrices, which are called 1Drazin (in short, 1D) inverse and Drazin1 (in short, D1) inverse. Next, we investigated the existence and uniqueness of… read more here.
Keywords: inverse square; inverse inverse; inverse; square matrices ... See more keywords