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<title>Algebra and Discrete Mathematics, 2011, Vol. 11, № 1</title>
<link>http://dspace.nbuv.gov.ua:80/handle/123456789/150367</link>
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<pubDate>Mon, 20 Apr 2026 15:53:12 GMT</pubDate>
<dc:date>2026-04-20T15:53:12Z</dc:date>
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<title>Algebra and Discrete Mathematics, 2011, Vol. 11, № 1</title>
<url>http://dspace.nbuv.gov.ua:80/bitstream/id/448113/</url>
<link>http://dspace.nbuv.gov.ua:80/handle/123456789/150367</link>
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<title>Some related to pronormality subgroup families and the properties of a group</title>
<link>http://dspace.nbuv.gov.ua:80/handle/123456789/154839</link>
<description>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.
</description>
<pubDate>Sat, 01 Jan 2011 00:00:00 GMT</pubDate>
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<dc:date>2011-01-01T00:00:00Z</dc:date>
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<title>A generalization of supplemented modules</title>
<link>http://dspace.nbuv.gov.ua:80/handle/123456789/154837</link>
<description>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.
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<pubDate>Sat, 01 Jan 2011 00:00:00 GMT</pubDate>
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<dc:date>2011-01-01T00:00:00Z</dc:date>
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<title>Some fixed point theorems for pseudo ordered sets</title>
<link>http://dspace.nbuv.gov.ua:80/handle/123456789/154799</link>
<description>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.
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<pubDate>Sat, 01 Jan 2011 00:00:00 GMT</pubDate>
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<dc:date>2011-01-01T00:00:00Z</dc:date>
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<title>On the prime spectrum of top modules</title>
<link>http://dspace.nbuv.gov.ua:80/handle/123456789/154773</link>
<description>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.
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<pubDate>Sat, 01 Jan 2011 00:00:00 GMT</pubDate>
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<dc:date>2011-01-01T00:00:00Z</dc:date>
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