R Linear Endomorphism of R n Preserving Invariants is popular PDF and ePub book, written by Bernard R. McDonald in 1983, it is a fantastic choice for those who relish reading online the Commutative rings genre. Let's immerse ourselves in this engaging Commutative rings book by exploring the summary and details provided below. Remember, R Linear Endomorphism of R n Preserving Invariants can be Read Online from any device for your convenience.

R Linear Endomorphism of R n Preserving Invariants Book PDF Summary

Let [italic]R be a commutative ring and ([italic]R)[subscript italic]n denote the [italic]n x [italic]n matrix ring over [italic]R. In this paper we classify the [italic]R-linear mappings [italic]T : ([italic]R)[subscript italic]n [right arrow] ([italic]R)[subscript italic]n which preserve rank one matrices. This classification gives as a corollary those [italic]R linear mappings which preserve the dominant. Other invariant preserving maps are also determined. These maps are invertible and we describe the groups that they generate.

Detail Book of R Linear Endomorphism of R n Preserving Invariants PDF

 R  Linear Endomorphism of   R  n  Preserving Invariants
  • Author : Bernard R. McDonald
  • Release : 29 September 1983
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821822876
  • Genre : Commutative rings
  • Total Page : 74 pages
  • Language : English
  • PDF File Size : 21,5 Mb

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