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Constructions of Commutative Semirings and Radical Rings
Korbelář, Miroslav ; Kepka, Tomáš (advisor) ; Němec, Petr (referee) ; Příhoda, Pavel (referee)
In this dissertation we deal with constructive methods applied to the commutative semirings and commutative radical rings. In Chapter 2 we study the class S of the commutative subdirectly irreducible radical rings. We present a few constructive methods for them and using the reflection of the category of the commutative rings into the category of the commutative radical rings we derive a lot of examples of rings in S with various properties. We prove that a ring S 2 S is noetherian if and only if it is finite. We show partial results in the classification of factors of S modulo monoliths. In Chapter 3 we introduce, using the p-prime valuation for all primes p, a set of characteristic sequences that can be assign to every subsemiring of Q+. We find and classify all maximal subsemirings of positive rational numbers and show that every proper subsemiring of Q+ is contained in at least one of them. This results was published in [16]. In Chapter 4 we construct, using the approach from the Chapter 4, a new large subclass of the class CongSimp of all proper congruence-simple subsemirings of Q+, classify all the maximal elements of CongSimp and show that every element of CongSimp is contained in at least one of them. In Chapter 5 we find an equivalent condition under which is the semiring Q+[ ] C, 2 C, contained in...
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The Economic Crisis in Specific EU Countries: Spain and Ireland
Příhoda, Pavel ; Stuchlíková, Zuzana (advisor) ; Hnát, Pavel (referee)
The thesis analyses and compares the economies of Spain and Ireland in the run up to and during the current economic and financial crisis. Firstly, the focus is on the pre-crisis period since the mid 90's, the causes and extent of the price bubble on the property markets, the caracter of lending boom and the indebtedness of the private sector. The end of the lending boom and conjuncture on the real estate markets in 2006-2007 had strong impact on real economy and the financial sector. Both countries currently pass through a three-level crisis: economic, banking and debt crisis. The aim of the thesis is to examine their causes, evolution and causal links. The paper also illustrates future perspectives of both countries in context of the membership in EMU and possible solutions to their current situation.
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The Spanish economy at the beginning of the 21st century
Příhoda, Pavel ; Bič, Josef (advisor) ; Řehořová, Veronika (referee)
This paper analyses the current economic situation in Spain, according to its development in the near past. Apart from the influence of the the global financial and economic crises, the internal factors are also mentioned. These are mainly the creation of the real estate property bubble and the dependence of the economy on the building industry. The main point is to explain the causes and results of the crisis Spain is going through and to outline the future prospects of the Spanish economy.
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