On a class of strongly quasi injective modules
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Displaying 1 – 17 of 17
On a problem of Bertram Yood
Mart Abel, Mati Abel (2014)
Topological Algebra and its Applications
In 1964, Bertram Yood posed the following problem: whether the intersection of all closed maximal regular left ideals of a topological ring coincides with the intersection of all closed maximal regular right ideals of this ring. It is proved that these two intersections coincide for advertive and simplicial topological rings and, using this result, it is shown that the topological left radical and the topological right radical for every advertive and simplicial topological algebra coincide.
On algebraically compact semigroup rings.
I.B. Kozhukhov, A.V. Klyushin (1989)
Semigroup forum
On coalgebras and linearly topological rings
Lech Witkowski (1979)
Colloquium Mathematicae
On -disconnected injective models
Marek Golasiński (2003)
Annales de l’institut Fourier
Let be a finite group. It was observed by L.S. Scull that the original definition of the equivariant minimality in the -connected case is incorrect because of an error concerning algebraic properties. In the -disconnected case the orbit category was originally replaced by the category with one object for each component of each fixed point simplicial subsets of a -simplicial set , for all subgroups . We redefine the equivariant minimality and redevelop some results on the rational homotopy...
On maximal chains in the lattice of module topologies.
Arnautov, V.I., Filippov, K.M. (2001)
Sibirskij Matematicheskij Zhurnal
On ordered division rings
Ismail M. Idris (2003)
Czechoslovak Mathematical Journal
Prestel introduced a generalization of the notion of an ordering of a field, which is called a semiordering. Prestel’s axioms for a semiordered field differ from the usual (Artin-Schreier) postulates in requiring only the closedness of the domain of positivity under for nonzero , instead of requiring that positive elements have a positive product. In this work, this type of ordering is studied in the case of a division ring. It is shown that it actually behaves the same as in the commutative...
On regular endomorphism rings of topological Abelian groups
Horea Florian Abrudan (2011)
Czechoslovak Mathematical Journal
We extend a result of Rangaswamy about regularity of endomorphism rings of Abelian groups to arbitrary topological Abelian groups. Regularity of discrete quasi-injective modules over compact rings modulo radical is proved. A characterization of torsion LCA groups for which is regular is given.
On splitting of extensions of rings and topological rings.
Abel, M. (2010)
Annals of Functional Analysis (AFA) [electronic only]
On the additive structure of a class of ordered semirings.
M. Satyanarayana, J. Hanumanthachari, D. Umamaheswarareddy (1986)
Semigroup forum
On the Embedding of topological domains into quotient fields.
John K. Luedeman (1970)
Manuscripta mathematica
On the structure of locally finite pure semisimple Grothendieck categories
Daniel Simson (1982)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
On topologies over rings.
Fakhruddin, Syed M. (1985)
International Journal of Mathematics and Mathematical Sciences
Order completions of semiprime rings
Walter D. Burgess, Robert M. Raphael (1981)
Czechoslovak Mathematical Journal
Ordering Epic R-Fields
Gábor Révész (1983)
Manuscripta mathematica
Orderings and preorderings in rings with involution
Ismail Idris (2000)
Colloquium Mathematicae
The notions of a preordering and an ordering of a ring R with involution are investigated. An algebraic condition for the existence of an ordering of R is given. Also, a condition for enlarging an ordering of R to an overring is given. As for the case of a field, any preordering of R can be extended to some ordering. Finally, we investigate the class of archimedean ordered rings with involution.
Orderings on semirings.
T.C. Craven (1991)
Semigroup forum
Currently displaying 1 – 17 of 17
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