http://dspace.nbuv.gov.ua:80/handle/123456789/150367 2026-04-20T15:53:47Z http://dspace.nbuv.gov.ua:80/handle/123456789/154839 Some related to pronormality subgroup families and the properties of a group Kirichenko, V.V.; Kurdachenko, L.A.; Subbotin, I.Ya. Some influential families of subgroups such as pronormal subgroups, contranormal subgroups, and abnormal subgroups, their generalizations, characterizations, interplays between them and the group, and their connections to other types of subgroups have been considered. 2011-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/154837 A generalization of supplemented modules Inankil, H.; Halıcıoglu, S.; Harmanci, A. Let R be an arbitrary ring with identity and M a right R-module. In this paper, we introduce a class of modules which is an analogous of δ-supplemented modules defined by Kosan. The module M is called principally δ-supplemented, for all m∈M there exists a submodule A of M with M=mR+A and (mR)∩A δ-small in A. We prove that some results of δ-supplemented modules can be extended to principally δ-supplemented modules for this general settings. We supply some examples showing that there are principally δ-supplemented modules but not δ-supplemented. We also introduce principally δ-semiperfect modules as a generalization of δ-semiperfect modules and investigate their properties. 2011-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/154799 Some fixed point theorems for pseudo ordered sets Parameshwara Bhatta, S.; George, S. In this paper, it is shown that for an isotone map f on a pseudo ordered set A, the set of all fixed points of f inherits the properties of A, namely, completeness, chain-completeness and weakly chain-completeness, as in the case of posets. 2011-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/154773 On the prime spectrum of top modules Ansari-Toroghy, H.; Hassanzadeh-Lelekaami, D. In this paper we investigate some properties of top modules and consider some conditions under which the spectrum of a top module is a spectral space. 2011-01-01T00:00:00Z