Results 241 to 250 of about 32,028 (266)
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E-rings as localizations of orders
Acta Mathematica Hungarica, 1991An \(E\)-ring is a ring \(R\) such that the map \(R\to\text{End}_ \mathbb{Z}(R^ +)\) sending \(x\in R\) to the left multiplication by \(x\) is a ring isomorphism. The author considers torsion-free \(E\)-rings \(R\) of finite rank which are integrally closed in their field of fractions \(F\).
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Lattice-Ordered Rings of Quotients
Canadian Journal of Mathematics, 1965R. E. Johnson (10), Utumi (18), and Findlayand Lambek (7) have defined for each ring R a unique maximal "ring of right quotients" Q. When R is a commutative integral domain (in this paper an integral domain need not be commutative) or an Ore domain, then Q is the usual division ring of quotients of R.
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Results in Mathematics, 1991
Serving as the algebraic counterpart of semiorderings in affine and projective planes, a semiordering of a planar ternary ring (PTR) T is an order relation \(
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Serving as the algebraic counterpart of semiorderings in affine and projective planes, a semiordering of a planar ternary ring (PTR) T is an order relation \(
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Linearly ordered rings which are not o-epimorphic images of ordered free rings
Mathematical Notes of the Academy of Sciences of the USSR, 1971A proof is given that not every linearly ordered associative (associative-commutative) ring is the o-image of a free associative (associative-commutative) ring for some ordering of the latter. There are also nilpotent linearly ordered rings which are not o-epimorphic images of free associative or free associative-commutative n-nilpotent rings for n≥ 4,
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Recognition of Lattice-Ordered Matrix Rings
Order, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Unitization of a lattice ordered ring with a truncation
Quaestiones Mathematicae, 2020Karim Boulabiar, Mounir Mahfoudhi
exaly
Endomorphisms of Semigroups of Invertible Nonnegative Matrices over Ordered Associative Rings
Moscow University Mathematics Bulletin, 2021exaly
Learning from “Coffee Rings”: Ordered Structures Enabled by Controlled Evaporative Self-Assembly
Angewandte Chemie - International Edition, 2012Wei Han, Zhiqun Lin
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