Twisted Hochschild Homology of Quantum Hyperplanes

We calculate the Hochschild dimension of quantum hyperplanes using the twisted Hochschild homology.Comment: 12 pages, LaTe

Reconstruction of the spontaneously broken gauge theory in non-commutative geometry

The scheme previously proposed by the present authors is modified to incorporate the strong interaction by affording the direct product internal symmetry. We do not need to prepare the extra discrete space for the color gauge group responsible for the strong interaction to reconstruct the standard model and the left-right symmetric gauge model(LRSM). The approach based on non-commutative geometry leads us to presents many attractive points such as the unified picture of the gauge and Higgs field as the generalized connection on the discrete space; Minkowski space multipied by N-points discrete space. This approach leads us to unified picture of gauge and Higgs fields as the generalized connection. The standard model needs N=2 discrete space for reconstruction in this formalism. \lr is still alive as a model with the intermediate symmetry of the spontaneously broken SO(10) grand unified theory(GUT). N=3 discrete space is needed for the reconstruction of LRSM to include two Higgs bosons $\phi$ and $\xi$ which are as usual transformed as (2,2*,0)$ and (1,3,-2) under left-handed SU(2)x right-handed SU(2)x U(1), respectively. xi is responsible to make the right handed-neutrino Majorana fermion and so well explains the seesaw mechanism. Up and down quarks have the different masses through the vacuum expectation value of phi.Comment: 21 page

Immunological aspects of the tumor microenvironment and epithelial-mesenchymal transition in gastric carcinogenesis

Infection with Helicobacter pylori, a Gram-negative, microaerophilic pathogen often results in gastric cancer in a subset of affected individuals. This explains why H. pylori is the only bacterium classified as a class I carcinogen by the World Health Organization. Several studies have pinpointed mechanisms by which H. pylori alters signaling pathways in the host cell to cause diseases. In this article, the authors have reviewed 234 studies conducted over a span of 18 years (2002–2020). The studies investigated the various mechanisms associated with gastric cancer induction. For the past 1.5 years, researchers have discovered new mechanisms contributing to gastric cancer linked to H. pylori etiology. Alongside alteration of the host signaling pathways using oncogenic CagA pathways, H. pylori induce DNA damage in the host and alter the methylation of DNA as a means of perturbing downstream signaling. Also, with H. pylori, several pathways in the host cell are activated, resulting in epithelial-to-mesenchymal transition (EMT), together with the induction of cell proliferation and survival. Studies have shown that H. pylori enhances gastric carcinogenesis via a multifactorial approach. What is intriguing is that most of the targeted mechanisms and pathways appear common with various forms of cancer

BRST invariant Lagrangian of spontaneously broken gauge theories in noncommutative geometry

The quantization of spontaneously broken gauge theories in noncommutative geometry(NCG) has been sought for some time, because quantization is crucial for making the NCG approach a reliable and physically acceptable theory. Lee, Hwang and Ne'eman recently succeeded in realizing the BRST quantization of gauge theories in NCG in the matrix derivative approach proposed by Coquereaux et al. The present author has proposed a characteristic formulation to reconstruct a gauge theory in NCG on the discrete space $M_4\times Z_{_N}$. Since this formulation is a generalization of the differential geometry on the ordinary manifold to that on the discrete manifold, it is more familiar than other approaches. In this paper, we show that within our formulation we can obtain the BRST invariant Lagrangian in the same way as Lee, Hwang and Ne'eman and apply it to the SU(2)$\times$U(1) gauge theory.Comment: RevTeX, page

Ocena poziomu wiedzy osób dorosłych na temat resuscytacji krążeniowo : oddechowej (RKO) i użycia automatycznego defibrylatora zewnętrznego (AED) w miejscach publicznych

Wstęp. Wraz z rozwojem cywilizacji, wzrastającym tempem życia, rośnie liczba wypadków i chorób, zwłaszcza chorób układu krążenia. W Polsce średnia liczba zgonów około wypadkowych jest trzy razy wyższa niż średnia europejska. Wiedza na temat pierwszej pomocy jest bardzo ważna wśród społeczeństwa, które stanowi mocny filar niesienia pierwszej pomocy poszkodowanym w nagłych sytuacjach, które są stanami zagrożenia zdrowia i życia. Cel pracy. Celem pracy była ocena i porównanie wiedzy mieszkańców Kielc i Krakowa z zakresu pierwszej pomocy oraz obsługi i zastosowania Automatycznego Defibrylatora Zewnętrznego (AED). Materiał i metody. Grupę badawczą stanowiło 160 osób, z czego 80 osób było z Krakowa, w tym 45 kobiet i 35 mężczyzn i 80 osób z Kielc, w tym 45 kobiet i 35 mężczyzn. Wszyscy re-spondenci byli pełnoletni. W badaniach posłużono się metodą sondażu diagnostycznego bezpośredniego, losowego wykorzys-tując do tego celu narzędzie badawcze w postaci anonimowego kwestionariusza ankiety, opracowanego na bazie Wytycznych Resuscytacji Krążeniowo- Oddechowej 2005 (RKO). Wyniki. Mieszkańcy Krakowa wykazują lepszy poziom wiedzy, aczkolwiek znajomość i obsługa . Respondenci z Krakowa częściej i chętniej uczestniczą w szkoleniach z zakresu BLS-AED i pierwszej pomocy niż respondencki z Kielc. Wnioski. Poziom wiedzy z zakresu udzielania pierwszej pomocy, a przede wszystkim w zakresie resuscytacji krążeniowo - oddechowej i użycia AED przez społeczeństwo z Krakowa i Kielc jest niezadawalający. Istnieje pilna potrzeba wprowadzenia komplementarnego systemu nauczania zagadnień pierwszej pomocy opartego na międzynarodowych standardach, który zagwarantuje odpowiednią jakość edukacji oraz kształtowanie pozytywnych postaw niesienia pomocy, począwszy od wczesnego etapu edukacji szkolnej.Introduction: The number of accidents and diseases, especially cardio-vascular, is increasing along with the develop-ment of civilization and a growing pace of life. In Poland, the average number of accident fatalities is three times higher than the European average. The knowledge of first aid is very im-portant for society, which is a strong pillar of first aid to victims in emergency situations that are dangerous to health and life. The aim of the study: The aim of the study was to assess the knowledge of CPR and first aid in the event of sudden respiratory arrest and cardiac arrest (SCA) and the operation and use of the Automated External Defibrillator (AED). Material and methods: The study group consisted of 160 people, among whom 80 were from Kraków, including 45 women and 35 men and 80 people were from Kielce, including 45 women and 35 men. All the respondents were adults. The method of diagnostic survey was applied in the study. The research instrument was an anonymous survey questionnaire created on the basis of the Car-dio-Pulmonary Resuscitation Guidelines 2005 (CPR). Results: Residents of Kraków have better knowledge of first aid, however the knowledge and operation of the AED among both residents of Kraków and Kielce is inadequate. Respondents from Kraków more often and more willingly participate in BLS-AED and first aid training than respondents from Kielce. Conclusions: The level of knowledge of first aid and especially of Cardio-Pulmonary Resuscitation and the application of the AED is unsatisfactory among residents of Kraków and Kielce. There is an urgent need for a complementary system of first aid instruction which would be based on international standards, and which would ensure an appropriate quality of education and develop a proper attitude among people, starting with the earliest stage of school education

Spin-Hall effect with quantum group symmetry

We construct a model of spin-Hall effect on a noncommutative 4 sphere with isospin degrees of freedom (coming from a noncommutative instanton) and invariance under a quantum orthogonal group. The corresponding representation theory allows to explicitly diagonalize the Hamiltonian and construct the ground state; there are both integer and fractional excitations. Similar models exist on higher dimensional noncommutative spheres and noncommutative projective spaces.Comment: v2: 14 pages, latex. Several changes and additional material; two extra sections added. To appear in LMP. Dedicated to Rafael Sorkin with friendship and respec

Finitely-Generated Projective Modules over the Theta-deformed 4-sphere

We investigate the "theta-deformed spheres" C(S^{3}_{theta}) and C(S^{4}_{theta}), where theta is any real number. We show that all finitely-generated projective modules over C(S^{3}_{theta}) are free, and that C(S^{4}_{theta}) has the cancellation property. We classify and construct all finitely-generated projective modules over C(S^{4}_{\theta}) up to isomorphism. An interesting feature is that if theta is irrational then there are nontrivial "rank-1" modules over C(S^{4}_{\theta}). In that case, every finitely-generated projective module over C(S^{4}_{\theta}) is a sum of a rank-1 module and a free module. If theta is rational, the situation mirrors that for the commutative case theta=0.Comment: 34 page

Velocity of particles in Doubly Special Relativity

Doubly Special Relativity (DSR) is a class of theories of relativistic motion with two observer-independent scales. We investigate the velocity of particles in DSR, defining velocity as the Poisson bracket of position with the appropriate hamiltonian, taking care of the non-trivial structure of the DSR phase space. We find the general expression for four-velocity, and we show further that the three-velocity of massless particles equals 1 for all DSR theories. The relation between the boost parameter and velocity is also clarified.Comment: 12 page

Scalar field theory on κ\kappa-Minkowski space-time and Doubly Special Relativity

In this paper we recall the construction of scalar field action on $\kappa$-Minkowski space-time and investigate its properties. In particular we show how the co-product of $\kappa$-Poincar\'e algebra of symmetries arises from the analysis of the symmetries of the action, expressed in terms of Fourier transformed fields. We also derive the action on commuting space-time, equivalent to the original one. Adding the self-interaction $\Phi^4$ term we investigate the modified conservation laws. We show that the local interactions on $\kappa$-Minkowski space-time give rise to 6 inequivalent ways in which energy and momentum can be conserved at four-point vertex. We discuss the relevance of these results for Doubly Special Relativity.Comment: 17 pages; some editing done, final version to be published in Int. J. Mod. Phys.