Sanjeet Maisnam

2 Questions 5 Answers 0 Followers

Questions related from Sanjeet Maisnam

Can there be a correspondence between an infinite ring and a finite field?

1. Consider an infinite ring. Can it be embedded into a finite field? Can it have a finite quotient field? 2. Consider, on the other hand, an infinite field. Does it always contain infinite...

04 April 2016 3,909 12 View

Does it necessarily imply that an unknown matrix has a zero entry if it yields non-zero matrix on pre-multiplication by a sq. matrix of det. zero?

1. Consider the multiplication of 2 x 2 (for simplicity) square matrix of determinant zero with an unknown 2 x 1 matrix yielding a non-zero matrix. Is one of the entries of the unknown matrix...

06 June 2015 7,684 6 View