National Repository of Grey Literature 87 records found  beginprevious78 - 87  jump to record: Search took 0.01 seconds. 
Vychylující moduly nad Gorensteinovými okruhy
Pospíšil, David ; Žemlička, Jan (referee) ; Trlifaj, Jan (advisor)
Let R be a commutative 1-Gorenstein ring. Our main result characterizes all tilting and cotilting R-modules: up to equivalence: they are parametrized by subsets of the set of all prime ideals of height one. More precisely, every tilting (cotilting) R-module is equivalent to some Bass tilting (cotilting) module. This characterization was known in the particular case of Dedekind domains: Chapter 4 contains a new and simpler proof of this fact. Our main result is proved in Chapter 5, while Chapter 6 deals with the cotilting case. In Chapter 4, there is also a proof of the less well-known fact that all finitely generated tilting modules over commutative rings are projective.
Abelian regular rings
Vejnar, Benjamin ; Růžička, Pavel (referee) ; Žemlička, Jan (advisor)
Na/ev praco: Abelovsky regularni okruhy Autor: Benjamin Vejnar Katedra (listav): Katedra algebry VcdoLici bakalafske prace: Mgr. Jan 2emlicka, Ph.D. E-mail vedouctho: Jan.Zcmlicka&mJJ. cuni.cz Abstrakt: V pfcdloxene praci studujeme aritmeticke a strukturni vlastnosti abelovsky regularnich okruhu, tedy okruhu, jcjichx ka/xly levy i pravy konecne generova.ny ideal jo generovan idempotentnim prvkem, klery Ic/i v centra danoho okruhu. Napfiklad ka/,dy Boohmv okruh je abelovsky regularni. Venujume ye podininkam, ktere uplne diarakterizuji tn'du abelovsky regu- larnieli okruhu, jako napfiklad silna regularita. Vsimame si souvislosti mexi Booleovou algebrou vsch centralnich idempo1,entu daneho okruhu a hlavnimi idealy. Dale popiHUJeme topologit na nmo/ine visecli prvoidealu a avcdoniujeine si, '/e splyva s Lo])ologii ultrafiltrii na Booleove algebre idciiipotontd. Klicova slova: okruhy, idempoteiitni prvky, silne regularni okruhy Title: Abelian regular rings Author: Benjamin Vejnar Department: Department of Algebra Supervisor: Mgr. Jan Zemlieka, Ph.D. Supervisor's e-mail address: Jan.Zc:ttilicka((})'niff.cu'iii.cz Abstract: In the present work we study arithmetic and structural properties of abelian regular' rings. This means rings whose every left and right finitely generated ideal is generated by an idempotent...
Tiliting modules of finite type
Šaroch, Jan ; Žemlička, Jan (referee) ; Trlifaj, Jan (advisor)
The thesis studies properties of cotorsion pairs in the category of modules; we are mostly interested in conditions under which the given cotorsion pair is complete or, actually, of finite type. Methods of deconstruction of cotorsion pairs developed during our inquiry are eventually used to prove that every tilting module is of finite type. We show also a connection of presented problems with so-called telescope conjecture.
Factorization of polynomials over finite fields
Straka, Milan ; Stanovský, David (referee) ; Žemlička, Jan (advisor)
Nazcv prace: Faktorizace polynoinu nad konccnynii telesy Autor: Milan Straka Katcdra (ustav): Katcdra algebry Vedouci bakalarske prace: Mgr. Jan Zcmlicka, Ph.D. E-mail vedouciho: Jan.Zemlicka((hnff. cuni.cz Abstrakt: Cilem prace je prozkoumat problem rozkladu polynomn nad konecnym telc- scm na soucin ircducibilnich polynoinu. PopHanim nekolika algoritmu hledaji- cich tento rozklad se ukaze, ze tento problem je vzdy fcsitclny v polynornialnim case vzhleclem kc stupni polynomu a poctu prvku konecneho telcsa. U jeduoho z algoritnm je po])sana implenientace s vclnii clobrou asymptotic- kou casovou slozito.sti O(nLylD log c/}, kdc i\. jc stupen rozkladaneho polynuinn nad telesem « q prvky. Program pouzivajiei jcdnodnssi, ale prakticky rychlcjsi variantu tohoto algoritnm jc soucasti ])racc. Klicova slova: faktorizace, kouecna telesa, polynoniy, algoritmns Title: Factoring polynomials over finite fields Author: Milan Straka Department: Department of Algebra Supervisor: Mgr. Jan Zemlicka, Ph.D. Supervisor's e-mail address: Jan. Zcirilicka@mJJ.cum.cz Abstract: The goal of this work is to present the problem of the decomposition of a polyno- mial over a finite field into a product of irreducible polynomials. By describing algorithms solving this problem, we show that the decomposition can always be found in...
Identity checking
Polach, František ; Žemlička, Jan (referee) ; Stanovský, David (advisor)
Nazev prace: Testovdni identit Autor: FrantiSek Polnch Katedra (ustav): Katedra algebry Vedouci bakalafske prace: RNDr. David Stanovsky, Ph.D. e-mail vedouciho: stanovsk@karlin.mff.citni.cz Abstrakt: Na overeni, zda dana identita (napf. komlttativita, asociativita, apod.) plati v dane algebre (grupe, okrului,...), existuje ocividny algoritmtts, ktery ma exponencidlni slozitost vzh- ledem kdelce zadane identity (profixm'algebru)- Neni tezke nahlednout, ze tento problemje pro libovolnou algebra v I ride co-NP a ze existuji algebry, pro ktere je co-NP-uplny. Na druhou stranu, pro mnoho algeber (napr. pro abelovske grupy) existitje algoritmus polynomidlni. Ex- istuje mezindrodni projekt, jehoz cilein je charakterizovat ty algebry, pro ktere je tento prob- lem pollfnomidlni, rcsp. co-NP-iiplny. Cflem tcto prdceje shrnout nektere zndme vysledky o grupdch a okruzich. Konkretne ukdzeme polynomidlni algoritmy pro testovdni identit v nilpo- tentnich i dihedrdlnfch grupdch a nilpotentnich okruzich, a dokdzeme co-NP-iiplnost testovdni identit v nenilpotcntnfch okruzich. Klicova slova: testovdni identit, slozitost, grupy, okruhy Title: Identity checking Author: Franlisek Polach Department: Department of Algebra Supervisor: RNDr. David Stanovsky, Ph.D. Supervisor's e-mail address: stanovsk@karlin.inff.cuni.cz Abstract:...
The methodology for visualization of the internal structure of the painting using novel x-ray based methods
Hradilová, Janka ; Hradil, David ; Trmalová, Olga ; Žemlička, Jan
Aim of the methodology is to involve the newly tested a newly developed methods, which allow displaying an internal structure of a painting, into the routine conservation/restoration research. The methodology is yet specifically focused only on methods using X-rays, i.e. X-ray radiography (XRR) and X-ray fluorescence (XRF) (including macroscopic XRF scanning). The methodology includes testing the radiographic equipment with pixel detectors, which has been newly developed within the project, and assesses its contribution to the practical survey of painting techniques reflecting its exceptional spatial resolution, materials sensitivity and mobility.
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Moderní informační infrastruktura organizace - na konkrétním případě
Žemlička, Jan ; Kubešová, Vlasta (advisor) ; Slabý, Jiří (referee)
Diplomová práce se zabývá problematikovu budování informační infrastruktury organizace. V první, teoretické, části se zabývá obecně pojmem informace, jejími atributy, významem a účelem, který přestavuje pro současné podniky jeden z klíčových faktorů úspěchu. V druhé, praktické, části naznačuje na konkrétním případě možnosti budování informační infrastruktury na platformě produktů společnosti SAP, s ohledem na organizační a uživatelské požadavky.

National Repository of Grey Literature : 87 records found   beginprevious78 - 87  jump to record:
See also: similar author names
2 Žemlička, J.
1 Žemlička, Jakub
9 Žemlička, Josef
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