Prime Radicals of Directed Pseudo-Ordered Rings
Characteristics of partially pseudo-ordered ( K -ordered) rings are considered. Properties of ideals in pseudo-ordered rings are described. A variation of the concept of the prime radical for a ring in the subclass of directed pseudo-ordered rings ( AO -ordered rings) is investigated. The descriptio...
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| Veröffentlicht in: | Journal of mathematical sciences (New York, N.Y.) N.Y.), 2021-09, Vol.257 (6), p.846-859 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Characteristics of partially pseudo-ordered (
K
-ordered) rings are considered. Properties of ideals in pseudo-ordered rings are described. A variation of the concept of the prime radical for a ring in the subclass of directed pseudo-ordered rings (
AO
-ordered rings) is investigated. The description of elements of
AO
-prime radicals for
AO
-ordered rings is obtained. |
|---|---|
| ISSN: | 1072-3374 1573-8795 |
| DOI: | 10.1007/s10958-021-05525-w |