关于概分配格的素数e理想

IF 0.7 Q2 MATHEMATICS International Journal of Analysis and Applications Pub Date : 2023-08-09 DOI:10.28924/2291-8639-21-2023-85

N. Rafi, Y. Monikarchana, R. Bandaru, Aiyared Iampan

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引用次数: 0

摘要

在几乎分配格(ADL)中，引入了e理想的概念，并讨论了它们的性质。在同余的条件下，建立了ADL的最小素数理想与其商ADL之间的等价性。最后，对素数e理想和极小素数e理想进行了拓扑研究。

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On Prime E-ideals of Almost Distributive Lattices

In an almost distributive lattice (ADL), the idea of E-ideals is introduced, and their properties are discussed. In terms of a congruence, an equivalence is established between the minimal prime Eideals of an ADL and its quotient ADL. Finally, topological investigations are performed on prime E-ideals and minimal prime E-ideals.

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