Browsing by Author "Il'in S."

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  • On the ranks of idempotent matrices over skew semifields 
    Il'in S. (2012)
    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. © 2012 Pleiades ...
  • V-semirings 
    Il'in S. (2012)
    We investigate the semirings over which all simple semimodules are injective. In ring and module theory, the rings with an analogous condition are called V-rings. Therefore it is natural to call the semirings under ...

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