Title: Distinguished elements of group rings Author: Bc. Zuzana Procházková Department: Department of Algebra Supervisor: doc. Mgr. et Mgr. Jan Žemlička, Ph.D., Department of Algebra Abstract: This thesis is about finding idempotents in a group ring. We describe three techniques of finding idempotents in a semisimple group ring and in the last chapter there is an attempt to find idempotents in a group ring that does not have to be semisimple. The first technique uses representations and characters of a group. The second technique finds idempotents through the use of Shoda pairs. The third technique lifts idempotent from the factor ring with the help of CNC system of ideals, which is a generalization of a well-known technique with nilpotent ideals, and it is here extended to group rings formed by non-abelian group and noncommutative ring. iii

This master’s thesis deals with the assesment of directional sensivity and accuracy of current stream velocity using electromagnetic induction meters in circumstances simulating the real measurement profiles condictions. The theoretical part of the thesis describes the issue of streamflow measurement in open channels and determination of the relevant measurement uncertainties. It also includes description of the hydraulic circuit and the subject current velocity meters. The experimental part of the thesis focuses on the effect of turbulence on the value and accuracy of measured velocity and directional sensivity of electromagnetic induction meters of current velocity. The results are compared with parameters given by manufacturers, research by other authors and with the metrological characteristics of hydrometric propellers, which are commonly used for streamflow measurement in open channels.

The development of the site allows to connect different residential areas by pedestrian and biking routes; to remove the barrier created by the site, which destroys integral space of the town; and to create a communication axis with the hill Barbořina. At present the site is defined as an agricultural area for further development. As it is no longer used on purpose, it can be considered as brownfield. The proposal is to create a park area, which will become a part of the urban fabric, will create space for new activities and will solve communication problems, such as lack of pedestrian and bicycle connection between the town and Barbořina.

Master’s thesis on Energy performance of domestic hot water preparation is concerned with calculating and comparing the energy performance of domestic hot water preparation in two-generation family house with an administrative part. Energy performance of domestic hot water preparation is calculated by two calculation methods and by experimental measurements, which are compared at the end of the thesis. The calculation is performed according to standard ČSN 06 0320 and set of standards ČSN EN 15316-3. Thesis is processed in accordance with valid legislative regulations.

The main subject of the thesis is a revision of current area framing northwest part of Žerotín Square, that nowadays consists of so called White house (center for children health care and a seat of a medical school). The design is based on theoretical situation concerning the removal of White house and therefore it uses the newly existing place as a subject for new architectural solution. The solution emphasizes the completion of current block of buildings with large courtyard and corner between Žerotín Square and Veveří street, which is very important for traffic. The thesis is focusing on finding the right form, scale and functional content which would reflect the importance of the location, especially focusing on the Brno’s ring road that goes directly to Denisovy sady and accessibility of this city’s part. It also respects the design of the back side of the Red Church. The design uses the newly existing place as a location for new apartment building that reflects the scale of similar buildings in Marešov and other nearby streets and it also proposes administration building as an architectural solution for this location, which would be used as a seat for both municipal and national institutions.