S-prime elements are defined in V-lattices and the S-Prime Element Principle is introduced to prove certain elements are S-prime, yielding a uniform approach to prime element existence in multiplicative lattices when S equals {1}.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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math.AC 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Defines weakly S-prime and weakly S-primary elements in multiplicative lattices and establishes their precise correspondence with weakly S-prime and weakly S-primary ideals in commutative rings via the ideal lattice.
citing papers explorer
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On $S$-Prime Element Principle
S-prime elements are defined in V-lattices and the S-Prime Element Principle is introduced to prove certain elements are S-prime, yielding a uniform approach to prime element existence in multiplicative lattices when S equals {1}.
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On $S$-prime and $S$-primary elements in multiplicative lattices
Defines weakly S-prime and weakly S-primary elements in multiplicative lattices and establishes their precise correspondence with weakly S-prime and weakly S-primary ideals in commutative rings via the ideal lattice.