- Your Search:
- Faculty Identifier:sweet
*[x]*

- Faculty Identifier:sweet
- Limited to:
- no limits selected

# Results

[Page generation failure. The bibliography processor requires a browser with Javascript enabled.] |

[Page generation failure. The bibliography processor requires a browser with Javascript enabled.] An algebra A is homogeneous if the automorphism group of A acts transitively on the one dimensional subspaces of A. Suppose A is a homogeneous algebra over an infinite field k. Let L-a denote left mulfiplication by any nonzero element a is an element of A. Several results are proved concerning the s... |

[Page generation failure. The bibliography processor requires a browser with Javascript enabled.] |

[Page generation failure. The bibliography processor requires a browser with Javascript enabled.] A matrix M is nilpotent of index 2 if M2=0. Let V be a space of nilpotent n×n matrices of index 2 over a field k where and suppose that r is the maximum rank of any matrix in V. The object of this paper is to give an elementary proof of the fact that . We show that the inequality is sharp and const... |

[Page generation failure. The bibliography processor requires a browser with Javascript enabled.] A (non-associative) algebra A, over a field k, is called homogeneous if its automorphism group permutes transitively the one dimensional subspaces of A. Suppose A is a nontrivial finite dimensional homogeneous algebra over an infinite field. Then we prove that x(2) = 0 for all x in A, and so xy = yx... |

[Page generation failure. The bibliography processor requires a browser with Javascript enabled.] |