Discrete ordered rings
G. Heuer (1974)
Fundamenta Mathematicae
Similarity:
Displaying similar documents to “On group rings of ordered groups”
Discrete ordered rings
Rings generalized by tripotents and nilpotents
Huanyin Chen, Marjan Sheibani, Nahid Ashrafi (2022)
Czechoslovak Mathematical Journal
Similarity:
We present new characterizations of the rings for which every element is a sum of two tripotents and a nilpotent that commute. These extend the results of Z. L. Ying, M. T. Koşan, Y. Zhou (2016) and Y. Zhou (2018).
On well-ordered groups and near-rings
Carlton J. Maxson (1970)
Compositio Mathematica
Similarity:
On -rings that are not formally real
James J. Madden (2010)
Annales de la faculté des sciences de Toulouse Mathématiques
Similarity:
Henriksen and Isbell showed in 1962 that some commutative rings admit total orderings that violate equational laws (in the language of lattice-ordered rings) that are satisfied by all totally-ordered fields. In this paper, we review the work of Henriksen and Isbell on this topic, construct and classify some examples that illustrate this phenomenon using the valuation theory of Hion (in the process, answering a question posed in [E]) and, finally, prove that a base for the equational...
Introduction
Charles N. Delzell, James J. Madden (2010)
Annales de la faculté des sciences de Toulouse Mathématiques
Similarity:
Embeddings into Power Series Rings.
R.H. Redfield (1986)
Manuscripta mathematica
Similarity:
On the family relation for artinian rings
K. R. Pearson (1972)
Compositio Mathematica
Similarity: