(参考) 検索キーワード：Generalization Rank (linear algebra) the concept of rank to matrices ove https://www.google.com/search?as_q=Generalization+Rank+%28linear+algebra%29+the+concept+of+rank+to+matrices+over+arbitrary+rings+pdf&as_epq=&as_oq=&as_eq=&as_nlo=&as_nhi=&lr=&cr=&as_qdr=all&as_sitesearch=&as_occt=any&as_filetype=&tbs=
１） Generalized Inverses of Matrices Over Commutative Rings ScienceDirect.com https://www.sciencedirect.com › article › pii › pdf › pid=... KM Prasad 著 · 1994 · 被引用数: 30 — A Rao-regular matrix and the Rao idempotent of a matrix over a commutative ring are defined. We prove that a matrix A over a commutative
２） Linear algebra over commutative rings ResearchGate https://www.researchgate.net › 445... ... matrix' is folklore and cannot be generalized to the class of matrices over an arbitrary commutative ring. The `determinantal rank' defined by the size of ...
３） Rank of a matrix over a ring? - linear algebra Mathematics Stack Exchange https://math.stackexchange.com › r... 2021/05/17 — Note in the latest edition of his book (2018), it seems he has stated the definitions of rank for matrices over arbitrary unitary rings R (p. necessary and sufficient condition for trivial kernel of a matrix ... 2011年10月11日 Rows of a matrix over an arbitrary ring - Math Stack Exchange 2017年4月14日 math.stackexchange.com からの検索結果
https://math.stackexchange.com/questions/4141364/rank-of-a-matrix-over-a-ring Rank of a matrix over a ring? asked May 17, 2021 at 0:07 blargoner
