INVERSES AND ZERO DIVISORS IN MATRIX RINGS (1950)
by
J. C. Shepherdson
BibTeX
@MISC{Shepherdson50inversesand,
author = {J. C. Shepherdson},
title = {INVERSES AND ZERO DIVISORS IN MATRIX RINGS},
year = {1950}
}
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Abstract
THE following question was mentioned by van der Waerden (1): ' If R is a ring with a unit element and A is an n X n square matrix with elements in R, can A, regarded as an element of the ring of nxn square matrices with elements in R, be both a left inverse and a left divisor of zero? In other
Citations
| 214 | An unsolvable problem of elementary number theory - Church - 1936 |
| 60 | Recursive unsolvability of a problem of Thue - Post - 1947 |
| 57 | General recursive functions of natural numbers, Mathematische Annalen 112 - Kleene - 1936 |
| 42 | The Decision Problem for Some Classes of Sentences Without Quantifiers - McKinsey |
| 5 | On computable numbers - Turing - 1936 |
| 1 | Inverses and zero divisors - BAEK - 1942 |
| 1 | Anneaux reguliers, anneaux de matrices - LESIEUR - 1948 |
| 1 | The word problem for semigroups with two generators', ibid - HALL - 1949 |
| 1 | Zur Theorie der Moduln und Idealen - LASKER - 1905 |
