山东大学学报（理学版）
山東大學學報（理學版）
산동대학학보（이학판）
JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE)
2014年
3期
63-67
,共5页
BL-代数%严格滤子%G?del代数
BL-代數%嚴格濾子%G?del代數
BL-대수%엄격려자%G?del대수
BL-algebra%strict filter%G?del algebra
引入了严格滤子的概念，给出了严格滤子与SBL-代数的关系，证明了若BL-代数L的滤子F是奇异的和严格的，则L/F是G?del代数。揭示了严格滤子与整滤子、素滤子等的关系。
引入瞭嚴格濾子的概唸，給齣瞭嚴格濾子與SBL-代數的關繫，證明瞭若BL-代數L的濾子F是奇異的和嚴格的，則L/F是G?del代數。揭示瞭嚴格濾子與整濾子、素濾子等的關繫。
인입료엄격려자적개념，급출료엄격려자여SBL-대수적관계，증명료약BL-대수L적려자F시기이적화엄격적，칙L/F시G?del대수。게시료엄격려자여정려자、소려자등적관계。
In order to study the filter theory of BL-algebras, the concept of strict filters is introduced, and relationships between strict filters and SBL-algebra are showed. It is proved that if F is both a fantastic and strict filter of a BL-alge-bra L, then L/F is a G?odel algebra. Finally, relationships among strict filters, integral filters, prime filters and other kinds of filters are displayed.
