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- Partially_ordered_ring abstract "In abstract algebra, a partially ordered ring is a ring (A, +, · ), together with a compatible partial order, i.e. a partial order on the underlying set A that is compatible with the ring operations in the sense that it satisfies:implies andand imply that for all . Various extensions of this definition exist that constrain the ring, the partial order, or both. For example, an Archimedean partially ordered ring is a partially ordered ring where 's partially ordered additive group is Archimedean.An ordered ring, also called a totally ordered ring, is a partially ordered ring where is additionally a total order.An l-ring, or lattice-ordered ring, is a partially ordered ring where is additionally a lattice order.".
- Partially_ordered_ring wikiPageExternalLink o070140.htm.
- Partially_ordered_ring wikiPageExternalLink PartiallyOrderedRing.html.
- Partially_ordered_ring wikiPageID "22211384".
- Partially_ordered_ring wikiPageRevisionID "594828115".
- Partially_ordered_ring hasPhotoCollection Partially_ordered_ring.
- Partially_ordered_ring subject Category:Ordered_algebraic_structures.
- Partially_ordered_ring subject Category:Ring_theory.
- Partially_ordered_ring type Artifact100021939.
- Partially_ordered_ring type Object100002684.
- Partially_ordered_ring type OrderedAlgebraicStructures.
- Partially_ordered_ring type PhysicalEntity100001930.
- Partially_ordered_ring type Structure104341686.
- Partially_ordered_ring type Whole100003553.
- Partially_ordered_ring type YagoGeoEntity.
- Partially_ordered_ring type YagoPermanentlyLocatedEntity.
- Partially_ordered_ring comment "In abstract algebra, a partially ordered ring is a ring (A, +, · ), together with a compatible partial order, i.e. a partial order on the underlying set A that is compatible with the ring operations in the sense that it satisfies:implies andand imply that for all . Various extensions of this definition exist that constrain the ring, the partial order, or both.".
- Partially_ordered_ring label "Partially ordered ring".
- Partially_ordered_ring sameAs m.05q5t8w.
- Partially_ordered_ring sameAs Q7140405.
- Partially_ordered_ring sameAs Q7140405.
- Partially_ordered_ring sameAs Partially_ordered_ring.
- Partially_ordered_ring wasDerivedFrom Partially_ordered_ring?oldid=594828115.
- Partially_ordered_ring isPrimaryTopicOf Partially_ordered_ring.