DERIVATIONS OF PRIME FILTER THEOREMS GENERATED BY VARIOUS \cap -STRUCTURES IN TRANSITIVE GE-ALGEBRAS
Publish place: Journal of Algebraic Systems، Vol: 12، Issue: 1
Publish Year: 1403
Type: Journal paper
Language: English
View: 134
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Document National Code:
JR_JAS-12-1_004
Index date: 18 July 2023
DERIVATIONS OF PRIME FILTER THEOREMS GENERATED BY VARIOUS \cap -STRUCTURES IN TRANSITIVE GE-ALGEBRAS abstract
Properties of prime filters and maximal filters of transitive GE-algebras are investigated. An element-wise characterization is derived for the smallest GE-filter containing a given set. It is proved that the set of all GE-filters of a transitive GE-algebra forms a complete distributive lattice. Four different versions of a prime filter theorem are generalized in transitive GE-algebras. A necessary and sufficient condition is derived for a proper filter of a commutative GE-algebra to become a prime filter.
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DERIVATIONS OF PRIME FILTER THEOREMS GENERATED BY VARIOUS \cap -STRUCTURES IN TRANSITIVE GE-ALGEBRAS authors
Sambasiva RAO Mukkamala
Department of Mathematics, MVGR College of Engineering, Vizianagaram, Andhra Pradesh, India.
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