Endomorphism Near-Ring of a Relatively Free Group.
Errata-Corrige : “Linearly compact rings and strongly quasi-injective modules”
Erratum - On the Bohr Compactification.
Erweiterung topologischer Halbringe durch Quotienten- und Differenzenbildung.
Faithfully quadratic rings - a summary of results
This is a summary of some of the main results in the monograph Faithfully Ordered Rings (Mem. Amer. Math. Soc. 2015), presented by the first author at the ALANT conference, Będlewo, Poland, June 8-13, 2014. The notions involved and the results are stated in detail, the techniques employed briefly outlined, but proofs are omitted. We focus on those aspects of the cited monograph concerning (diagonal) quadratic forms over preordered rings.
Fastgeordnete und geordnete lokale Ringe und ihre geometrische Anwendung
Finite morphisms between differentiable algebras.
Fonctions continues et séparément additives
Generalized derivations on Lie ideals in prime rings
Let be a prime ring with its Utumi ring of quotients and extended centroid . Suppose that is a generalized derivation of and is a noncentral Lie ideal of such that for all , where is a fixed integer. Then one of the following holds:
Generalized Morita equivalence for linearly topologized rings
Idealtheorie der offen einbettbaren kommutativen topologischen Ringe.
Idempotents and the multiplicative group of some totally bounded rings
In this paper, we extend some results of D. Dolzan on finite rings to profinite rings, a complete classification of profinite commutative rings with a monothetic group of units is given. We also prove the metrizability of commutative profinite rings with monothetic group of units and without nonzero Boolean ideals. Using a property of Mersenne numbers, we construct a family of power commutative non-isomorphic profinite semiprimitive rings with monothetic group of units.
Injective models of -disconnected simplicial sets
We generalize the results by G.V. Triantafillou and B. Fine on -disconnected simplicial sets. An existence of an injective minimal model for a complete -algebra is presented, for any -category . We then make use of the -category associated with a -simplicial set to apply these results to the category of -simplicial sets.Finally, we describe the rational homotopy type of a nilpotent -simplicial set by means of its injective minimal model.
Linear right ideal nearrings.
Linearly compact chain rings.
Linearly Compact Rings and Modules.
Linearly compact rings and selfcogenerators
Linearly compact rings and strongly quasi-injective modules
Locally compact Baer rings.
Locally compact topologically nil and monocompact PI-rings.