Title :
Some results in primary ideals of MV-algebras
Author :
Forouzesh, F. ; Saeid, A. Borumand
Author_Institution :
Dept. of Math., Higher Educ. Complex of Bam, Bam, Iran
Abstract :
In this paper, we study primary decomposition of an ideal in an MV-algebra. We show that if an ideal in MV-algebras has a primary decomposition, then it has a reduced primary decomposition. Also we introduced .-primary ideal of PMV-algebra and by example, we show that a .-primary ideal in a PMV-algebra is not a .-prime ideal in a PMV-algebra.
Keywords :
Boolean algebra; multivalued logic; .-primary ideal; .-prime ideal; BL-algebra; MV-algebras; PMV-algebra; ideal primary decomposition; Algebra; Cognition; Educational institutions; Lattices; Multivalued logic; System-on-chip; .-primary; MV-algebra; PMV-algebra; Primary decomposition; formatting;
Conference_Titel :
Intelligent Systems (ICIS), 2014 Iranian Conference on
Conference_Location :
Bam
Print_ISBN :
978-1-4799-3350-1
DOI :
10.1109/IranianCIS.2014.6802539
