Michele Sce's Works in Hypercomplex Analysis by Fabrizio Colombo & Irene Sabadini & Daniele C. Struppa

Author:Fabrizio Colombo & Irene Sabadini & Daniele C. Struppa
Language: eng
Format: epub
ISBN: 9783030502164
Publisher: Springer International Publishing

the ideal of

trace of R on B. Let us consider the first and second representation of an element in A, x = x (1) + x (2) (x (2) ∈R) over C:

[Editors’ Note: the entry (2, 2) in the matrix is in the original manuscript] where depends on the coordinates of x (k) (k = 1, 2); represents the class [x (1)] in A −R.

If x (1) is a zero divisor in A −R, has dependent columns and thus dependent rows; then |X′| = 0 and x is a left zero divisor in A for any x (2) in R.

Therefore, the variety of left zero divisors in A has always at least dimension

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