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Matematicheskie Zametki, 2012, Volume 91, Issue 6, Pages 832–839
DOI: https://doi.org/10.4213/mzm8884 (Mi mzm8884) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the Ranks of Idempotent Matrices over Skew Semifields

S. N. Il'in

Kazan (Volga Region) Federal University
Full-text PDF (429 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm8884
Abstract: As is well known, every positive idempotent matrix is of rank 1. It is proved that idempotent matrices without zeros have this property over many skew semifields, and all these skew semifields are described.
Keywords: idempotent matrix, rank, skew semifield, (weakly) additively idempotent skew semifield, (weakly) additively cancellable skew semifield.
Received: 27.05.2010
Revised: 19.03.2011
English version:
Mathematical Notes, 2012, Volume 91, Issue 6, Pages 782–788
DOI: https://doi.org/10.1134/S0001434612050240
Bibliographic databases:
Document Type: Article
UDC: 512.558+512.643
Language: Russian
Citation: S. N. Il'in, “On the Ranks of Idempotent Matrices over Skew Semifields”, Mat. Zametki, 91:6 (2012), 832–839; Math. Notes, 91:6 (2012), 782–788
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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