Abstract. Let G be an abelian group and G its square subgroup as defined in the introduction. We show that the square subgroup of a non-homogeneous and indecomposable torsion-free group
Let R be a commutative ring with identity, and M an Rmodule. We introduce square submodule, M , of M as a generalization of the square subgroup in the sense of [9] and investigate its properties over a commutative domain. Mathematics Subject Classification (2010). 13C99.
Acetaminophen overdose causes renal injury via oxidative stress and apoptosis induction. Carvacrol has antioxidant effect. The aim of this study was to determine the protective effect of carvacrol on acetaminophen-induced renal damage in male rats. In this experimental study, forty male Wistar rats were randomly divided to ve groups (n = 8) including control, carvacrol 10 mg/kg, acetaminophen, acetaminophen + carvacrol 5 mg/kg, and acetaminophen + carvacrol 10 mg/kg. Animals initially received a single dose of acetaminophen (500 mg/kg), then were treated with carvacrol for one week (daily).Afterwards, renal blood ow (RBF), mean arterial pressure (MAP), renal perfusion pressure (RPP), renal vascular resistance (RVR), blood urea nitrogen (BUN), and serum creatinine were measured. Also, malondialdehyde (MDA) concentration, glutathione peroxidase (GPx) and superoxide dismutase (SOD) activity levels were measured in the kidney tissue. Hematoxylin and eosin method was used for histological assessment. The western blotting analysis was used to determine the Bax, Bcl-2 and cleaved caspase-3 proteins expression level in the kidney tissue. Carvacrol (10 mg/kg) could signi cantly increase the RBF, GPx and SOD activities and also reduced the RVR, serum creatinine, BUN, and MDA in the acetaminophen + carvacrol 10 mg/kg group versus acetaminophen group (P < 0.05). Also, carvacrol signi cantly decreased the cleaved caspase-3, Bax proteins expression level, and also kidney tissue damage score in the acetaminophen + carvacrol 10 mg/kg group versus acetaminophen group (P < 0.05).This study showed that carvacrol can attenuate the acetaminophen induced acute kidney damage via suppressing oxidative stress, apoptosis and its antioxidant effects.
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