How Long to Read $R$-Linear Endomorphism of $(R)_n$ Preserving Invariants

How Long Does it Take to Read $R$-Linear Endomorphism of $(R)_n$ Preserving Invariants?

It takes the average reader 1 hour and 15 minutes to read $R$-Linear Endomorphism of $(R)_n$ Preserving Invariants by Bernard R. McDonald

Assuming a reading speed of 250 words per minute. Learn more

Description

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.

How long is $R$-Linear Endomorphism of $(R)_n$ Preserving Invariants?

$R$-Linear Endomorphism of $(R)_n$ Preserving Invariants by Bernard R. McDonald is 74 pages long, and a total of 18,796 words.

This makes it 25% the length of the average book. It also has 23% more words than the average book.

How Long Does it Take to Read $R$-Linear Endomorphism of $(R)_n$ Preserving Invariants Aloud?

The average oral reading speed is 183 words per minute. This means it takes 1 hour and 42 minutes to read $R$-Linear Endomorphism of $(R)_n$ Preserving Invariants aloud.

What Reading Level is $R$-Linear Endomorphism of $(R)_n$ Preserving Invariants?

$R$-Linear Endomorphism of $(R)_n$ Preserving Invariants is suitable for students ages 8 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

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