Oct 16, 2019   4:50 p.m. Vladimíra
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doc. RNDr. Milan Jasem, CSc.
Identification number: 3357
University e-mail: milan.jasem [at] stuba.sk
 
Odborný asistent CSc.,PhD. - Department of Mathematics (IIEAM FCFT)

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Basic information

Basic information about a final thesis

Type of thesis: Habilitation thesis
Thesis title:On mappings preserving intrinsic metrics or quasimetrics in partially ordered algebraic systems
Written by (author): doc. RNDr. Milan Jasem, CSc.
Department: Faculty of Civil Engineering
Opponent 1:prof. RNDr. Jiří Rachůnek, DrSc.
Opponent 2:doc. RNDr. Martin Máčaj, PhD.
Opponent 3:prof. RNDr. Danica Studenovská, CSc.
Final thesis progress:Final thesis was successfully defended.


Additional information

Additional information about the final thesis follows. Click on the language link to display the information in the desired language.

Language of final thesis:English

Slovak        English

Title of the thesis:On mappings preserving intrinsic metrics or quasimetrics in partially ordered algebraic systems
Summary:In the thesis mappings preserving intrinsic metrics or quasimetrics and especially isometries as particular cases of these mappings are investigated in different partially ordered algebraic systems as directed groups, DRl-semigroups and generalized MV-algebras. It was proved that stable mappings preserving intrinsic metrics or quasimetrics are homomorphisms in all examined cases. Further, it was shown that stable weak isometries are involutions and bijections in all studied structures. It was also found that there exists a relation between weak isometries and direct decompositions in directed groups, DRl-semigroups and generalized MV-algebras.
Key words:Metric, quasimetric, group

Parts of thesis with postponed release:

Final thesis (final thesis appendices) unlimited
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