Some questions on partially ordered rings – a survey
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Publication:6070472
DOI10.2989/16073606.2023.2177206MaRDI QIDQ6070472
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Publication date: 21 November 2023
Published in: Quaestiones Mathematicae (Search for Journal in Brave)
Galois extensionpartial order\(f\)-ringmatrix ringdirected partial orderlattice orderquotient fieldalmost \(f\)-ring\(O^*\)-ringdivision closed\(\ell\)-prime\(f\)-superunit\(L^*\)-ringregular division closed\(\ell\)-domainsquares positive
Cites Work
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- Directed partial orders on complex numbers and quaternions. II
- Lattice-ordered matrix algebras containing positive cycles.
- Non-Archimedean directed fields \(K(i)\) with o-subfield \(K\) and \(i^2=-1\).
- Directed partial orders on complex numbers and quaternions over non-Archimedean linearly ordered fields
- Fields with directed partial orders
- Convex and pseudoprime ideals in rings of continuous functions
- A structure theory for a class of lattice-ordered rings
- Directed partial orders over non-Archimedean \(o\)-fields
- Lattice-ordered triangular matrix algebras
- Multiplicative bases in matrix algebras
- On the unitability of a class of partially ordered rings that have squares positive
- Lattice-ordered fields
- Lattice ordered rings and function rings
- Examples of lattice-ordered rings
- Directed maximal partial orders of matrices.
- Lattice-ordered matrix algebras with the usual lattice order
- \(F^*\)-rings are \(O^*\)
- Division closed partially ordered rings
- Lattice orders on matrix algebras.
- Directed partial orders on \(F(i)\) with \(1 > 0\)
- The quotient rings of a class of lattice-ordered Ore domains
- The number fields that are \(O^*\)-fields
- Extending orders on rings with idempotents and d-elements
- Commutative consistently \(L^{*}\)-rings
- Directed partial orders on the field of generalized complex numbers with \(1\not >0\)
- On the existence of directed rings and algebras with negative squares
- Recognition of lattice-ordered matrix rings.
- Division closed lattice-ordered rings
- Lattice-ordered matrix rings over totally ordered rings.
- Lattice-ordered 2 \(\times\) 2 triangular matrix algebras
- On the scarcity of lattice-ordered matrix rings
- A radical for lattice-ordered rings
- Kaplansky's theorem for \(f\)-rings
- A embedding theorem for lattice-ordered fields
- Fields of quotients of lattice-ordered domains
- Galois extensions and \(O^*\)-fields
- Matrix ℓ-algebras over ℓ-fields
- Lattice-Ordered Matrix Algebras Over Real GCD-Domains
- Pseudoprime l-Ideals in a Class of f-Rings
- Archimedean, Semiperfect and π-Regular Lattice-Ordered Algebras with Polynomial Constraints are f-Algebras
- On Partly Ordered Fields
- Lattice-ordered Rings and Modules
- Ideal Theory in f-Algebras
- On Elements with Negative Squares
- The Unitability of l-Prime Lattice-Ordered Rings with Squares Positive
- On lattice extensions of partial orders of rings
- A characterization of rings in which each partial order is contained in a total order
- The Structure of f‐Algebras
- A proof of Weinberg’s conjecture on lattice-ordered matrix algebras
- Lattice-ordered algebras with polynomial inequalities
- Unital l-Prime Lattice-Ordered Rings with Polynomial Constraints are Domains
- f-ALGEBRAS THAT ARE EMBEDDABLE IN UNITAL f-ALGEBRAS
- On the scarcity of lattice-ordered matrix algebras II
- Extending partial orders on rings
- Division closed ℓ-rings and power positive L∗-rings
- Regular division closed lattice-ordered rings
- Division closed lattice-ordered rings and commutative L*-rings
- Commutative L*-rings II
- Lecture Notes on Algebraic Structure of Lattice-Ordered Rings
- Finite and infinite primes for rings and fields
- $l$-prime ideals in $f$-rings
- Lattice-Ordered Matrix Rings Over the Integers
- Lattices of continuous functions
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