Local methods for relational structures and their weak Krasneralgebras

Maja Pech · 2009

It was a long journey, and at the end of the day it is time to sum up the impressions.The work on this thesis began in the spring 2005 during my stay at the Institute of Algebra in Dresden, Germany, in the frame of the programme GK 334: Specification of discrete processes and systems of processes by operational models and logics, and it continued at the same place in the next school year, thanks to the financial support from DAAD.My host and scientific father there was Professor Reinhard P öschel, whom I owe my deepest gratitude for the influence that he made on this work, with many discussions, suggestions and useful ideas.The Institute of Algebra in Dresden was always a place where I was welcome, and I use this opportunity to thank all its members on scientific collaboration and many reinvitations to visit them and present my current work.There is no place like home, and all these years for me it was the Department of Mathematics and Informatics in Novi Sad, which provide me the opportunity to interrupt my teaching assistant work from time to time and to make many scientific visits abroad.One of them, that was of the great importance for this thesis, I made in the summer 2008.During two months at the Department of Mathematics at the Ben-Gurion University, Be'er Sheva, Israel, my host was Professor Mikhail Klin, whom I thank on several very interesting discussions and directions for the future work.Despite to many changes of workplaces and work conditions, one factor has stayed stable.Professor Dragan Mašulović is my supervisor since my very first scientific step, and I thank him on all advices, support and critics that improved my work.A few people made all this possible, although they had nothing to do with the scientific part of this thesis.My mother-in-law was on many occasions taking the role of the Hotel Mamma, allowing me to concentrate on mathematics and to forget about everyday housework.Without any doubt, a great role played the quartet of dear people, my parents and my grandparents on my mother's side.They gave me all their love, support and the opportunity to freely choose my way in life.As a small sign of my gratitude, this thesis is dedicated to the memory of them.My last and the greatest thanks go to my husband, for being both my retreat and the first line of the battle during the fight to obtain the results that are written on the pages that follow.

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