On a certain extensions of linear spaces with an algebraic derivation



Abstract

Certain properties of solutions of ordinary linear differential equations have an algebraic character. In this note we are concerned with these properties. Our purpose is to show some connections between the theory of differential rings and the theory of linear spaces equipped with an endomorphism satisfying some additional conditions. It will be shown that some linear spaces may be extended to differential rings.


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Published : 1985-09-30


KieratW. (1985). On a certain extensions of linear spaces with an algebraic derivation. Annales Mathematicae Silesianae, 1, 145-154. Retrieved from https://www.journals.us.edu.pl/index.php/AMSIL/article/view/14345

Władysław Kierat 
Instytut Matematyki, Uniwersytet Śląski w Katowicach  Poland



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