ON WEAKLY S-PRIME SUBMODULES

Let R be a commutative ring with a non-zero identity, S be a multiplicatively closed subset of R and M be a unital R-module. In this paper, we define a submodule N of M with (N:R M)∩S = ∅ to be weakly S-prime if there exists s ∈ S such that whenever a ∈ R and m ∈ M with 0 ≠ am ∈ N, then either sa ∈ (N:R M) or sm ∈ N. Many properties, examples and characterizations of weakly S-prime submodules are introduced, especially in multiplication modules. Moreover, we investigate the behavior of this structure under module homomorphisms, localizations, quotient modules, cartesian product and idealizations. Finally, we define two kinds of submodules of the amalgamation module along an ideal and investigate conditions under which they are weakly S-prime. © 2022 Korean Mathematical Society

Semi n-ideals of commutative rings

Let R be a commutative ring with identity. A proper ideal I is said to be an n-ideal of R if for a, b ∈ R, ab ∈ I and a∉0 imply b ∈ I. We give a new generalization of the concept of n-ideals by defining a proper ideal I of R to be a semi n-ideal if whenever a ∈ R is such that a2 ∈ I, then a∈0 or a ∈ I. We give some examples of semi n-ideal and investigate semi n-ideals under various contexts of constructions such as direct products, homomorphic images and localizations. We present various characterizations of this new class of ideals. Moreover, we prove that every proper ideal of a zero dimensional general ZPI-ring R is a semi n-ideal if and only if R is a UN-ring or R ≌ F1 × F2 × … × Fk, where Fi is a field for i = 1,…, k. Finally, for a ring homomorphism f: R → S and an ideal J of S, we study some forms of a semi n-ideal of the amalgamation R ⋈fJ of R with S along J with respect to f. © 2022, Institute of Mathematics, Czech Academy of Sciences

A Search for the Fourth SM Family Fermions and E_6 Quarks at μ+μ−\mu ^{+}\mu ^{-} Colliders

The potential of $\mu ^{+}\mu ^{-}$ colliders to investigate the fourth SM family fermions predicted by flavour democracy has been analyzed. It is shown that muon colliders are advantageous for both pair production of fourth family fermions and resonance production of fourth family quarkonia. Also isosinglet quarks production at $\mu ^{+}\mu ^{-}$ colliders has been investigated.Comment: 9 pages, 5 table

The Effects of Unit Exercises on the Hand Grip Strength of Arm Wrestlers

The aim of this research is to evaluate the change in the hand grip strength of the male arm wrestlers before and after a unit of exercise. The participants of the research consist of sportsmen (n=16) of Fırat University arm wrestling team in 18-25 age group.Within the scope of the research, all of the tests and measurements (age, length, body weight, sports age, hand grip strength) were carried out on the experimental group before they started training and the same tests were repeated just after the exercises. A unit of exercise program consisted of warm up, cool down, and 5 sets of weight lifting with 12 repetitions and intensity of 70% that were in that day’s plan and program applied by the trainer.While descriptive statistics were adopted in the statistical analysis, to identify the significance level between the hand grip strength before and after the exercise paired sample t-test analysis was used. The significance level was shown as α = 0.05 in the analyses. While the right hand grip strength of the sportsmen (n=16) was statistically significant at 51.1062 ± 1.69709 before and 49.0437 ± 1.71770 (p=0.000) after the exercise, the left hand grip strength was statistically significant at 46.9000 ± 1.16179 before and 45.8063 ± 1.30078 (p=0.000) after the exercise.In conclusion, it was observed that there is a statistically significant negative decline in the hand grip strength of the arm wrestling sportsmen after a unit of exercise and it can be said that it is because of the exhaustion expected after the exercise

Search for a Fourth Generation Charge -1/3 Quark via Flavor Changing Neutral Current Decay

We report on a search for pair production of a fourth generation charge -1/3 quark (b') in pbar p collisions at sqrt(s) = 1.8 TeV at the Fermilab Tevatron using an integrated luminosity of 93 pb^-1. Both quarks are assumed to decay via flavor changing neutral currents (FCNC). The search uses the signatures gamma + 3 jets + mu-tag and 2 gamma + 2 jets. We see no significant excess of events over the expected background. We place an upper limit on the production cross section times branching fraction that is well below theoretical expectations for a b' quark decaying exclusively via FCNC for b' quark masses up to m(Z) + m(b).Comment: Eleven pages, two postscript figures, submitted to Physical Review Letter

Two-Loop O(alpha_s G_F M_Q^2) Heavy-Quark Corrections to the Interactions between Higgs and Intermediate Bosons

By means of a low-energy theorem, we analyze at O(alpha_s G_F M_Q^2) the shifts in the Standard-Model W^+W^-H and ZZH couplings induced by virtual high-mass quarks, Q, with M_Q >> M_Z, M_H, which includes the top quark. Invoking the improved Born approximation, we then find the corresponding corrections to various four- and five-point Higgs-boson production and decay processes which involve the W^+W^-H and ZZH vertices with one or both of the gauge bosons being connected to light-fermion currents, respectively. This includes e^+e^- -> f anti-f H via Higgs-strahlung, via W^+W^- fusion (with f = nu_e), and via ZZ fusion (with f = e), as well as H -> 2V -> 4f (with V = W, Z).Comment: 20 pages (Latex); Physical Review D (to appear

Two-Loop Electroweak Heavy-Fermion Corrections to Higgs-Boson Production and Decay

The dominant electroweak corrections to the production cross sections and partial decay widths of a light Standard-Model Higgs boson, with mass M_H << 2m_t, are due to top-quark loops. By means of a low-energy theorem, we study at the two-loop level the leading shifts in the Higgs-boson couplings to pairs of light fermions and gauge bosons induced by a sequential isodoublet of high-mass fermions. For tree-level and loop-induced Higgs-boson couplings, these corrections are of relative orders O(G_mu^2 m_F^4) and O(G_mu m_F^2), respectively, where m_F represents a generic heavy-fermion mass, with m_F >> M_W, M_H. Except for the Hbb-bar coupling, all results carry over to the case of the top-quark-induced corrections. We discuss possible phenomenological consequences of our results.Comment: 29 pages (Latex), 3 figures (Postscript