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Abstract The paper continues the study of division closed lattice-ordered rings and commutative L*-rings. More interesting properties of division closed lattice-ordered rings are presented and it is shown that under… Click to show full abstract
Abstract The paper continues the study of division closed lattice-ordered rings and commutative L*-rings. More interesting properties of division closed lattice-ordered rings are presented and it is shown that under certain conditions such rings are f-rings. The main result on L*-rings is that for a commutative semilocal ring with the identity, it is L* if and only if it is O*.
Keywords:
rings commutative;
division closed;
ordered rings;
lattice ordered;
closed lattice
Journal Title: Quaestiones Mathematicae
Year Published: 2019
Link to full text (if available)
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Journal Title: Quaestiones Mathematicae
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!