http://dspace.nbuv.gov.ua:80/handle/123456789/150367 2026-04-20T15:53:47Z 2026-04-20T15:53:47Z Kirichenko, V.V. Kurdachenko, L.A. Subbotin, I.Ya. http://dspace.nbuv.gov.ua:80/handle/123456789/154839 2019-06-16T22:31:13Z 2011-01-01T00:00:00Z

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 Inankil, H. Halıcıoglu, S. Harmanci, A. http://dspace.nbuv.gov.ua:80/handle/123456789/154837 2019-06-16T22:31:12Z 2011-01-01T00:00:00Z

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 Parameshwara Bhatta, S. George, S. http://dspace.nbuv.gov.ua:80/handle/123456789/154799 2019-06-16T22:31:20Z 2011-01-01T00:00:00Z

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 Ansari-Toroghy, H. Hassanzadeh-Lelekaami, D. http://dspace.nbuv.gov.ua:80/handle/123456789/154773 2019-06-15T22:31:52Z 2011-01-01T00:00:00Z

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