ON A DIFFERENTIAL ANALOG OF THE PRIME-RADICAL AND PROPERTIES OF THE LATTICE OF RADICAL DIFFERENTIAL IDEALS IN ASSOCIATIVE DIFFERENTIAL RINGS

Authors

D. HADJIEV
F. ÇALLIALP
A. EDEN

Abstract

In this paper we prove the following results: (1) For any assosiative differential ring with the unit we introduce a differential analog of the prime-radical and describe it; (2) any maximal differential ideal of a Ritt algebra is prime; (3) The lattice of radical differential ideals satisfies the condition of infinite \cap- distributivity.

DOI

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Recommended Citation

HADJIEV, D, ÇALLIALP, F, & EDEN, A (1996). ON A DIFFERENTIAL ANALOG OF THE PRIME-RADICAL AND PROPERTIES OF THE LATTICE OF RADICAL DIFFERENTIAL IDEALS IN ASSOCIATIVE DIFFERENTIAL RINGS. Turkish Journal of Mathematics 20 (4): . https://doi.org/-