• 제목/요약/키워드: C-E exact sequences

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ESSENTIAL EXACT SEQUENCES

  • Akray, Ismael;Zebari, Amin
    • 대한수학회논문집
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    • 제35권2호
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    • pp.469-480
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    • 2020
  • Let R be a commutative ring with identity and M a unital R-module. We give a new generalization of exact sequences called e-exact sequences. A sequence $0{\rightarrow}A{\longrightarrow[20]^f}B{\longrightarrow[20]^g}C{\rightarrow}0$ is said to be e-exact if f is monic, Imf ≤e Kerg and Img ≤e C. We modify many famous theorems including exact sequences to one includes e-exact sequences like 3 × 3 lemma, four and five lemmas. Next, we prove that for torsion-free module M, the contravariant functor Hom(-, M) is left e-exact and the covariant functor M ⊗ - is right e-exact. Finally, we define e-projective module and characterize it. We show that the direct sum of R-modules is e-projective module if and only if each summand is e-projective.

THE HOMOLOGY REGARDING TO E-EXACT SEQUENCES

  • Ismael Akray;Amin Mahamad Zebari
    • 대한수학회논문집
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    • 제38권1호
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    • pp.21-38
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    • 2023
  • Let R be a commutative ring with identity. Let R be an integral domain and M a torsion-free R-module. We investigate the relation between the notion of e-exactness, recently introduced by Akray and Zebari [1], and generalized the concept of homology, and establish a relation between e-exact sequences and homology of modules. We modify some applications of e-exact sequences in homology and reprove some results of homology with e-exact sequences such as horseshoe lemma, long exact sequences, connecting homomorphisms and etc. Next, we generalize two special drived functor T or and Ext, and study some properties of them.

The MAK16 Gene of Entamoeba histolytica and Its Identification in Isolates from Patients

  • Crisostomo-Vazquez, Maria del Pilar;Marevelez-Acosta, V?ctor Alberto;Flores-Luna, Andres;Jimenez-Cardoso, Enedina
    • Parasites, Hosts and Diseases
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    • 제52권4호
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    • pp.429-433
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    • 2014
  • To identify sequences of Entamoeba histolytica associated with the development of amebic liver abscess (ALA) in hamsters, subtractive hybridization of cDNA from E. histolytica HM-1:IMSS under 2 growth conditions was performed: 1) cultured in axenic medium and 2) isolated from experimental ALA in hamsters. For this procedure, 6 sequences were obtained. Of these sequences, the mak16 gene was selected for amplification in 29 cultures of E. histolytica isolated from the feces of 10 patients with intestinal symptoms and 19 asymptomatic patients. Only 5 of the 10 isolates obtained from symptomatic patients developed ALA and amplified the mak16 gene, whereas the 19 isolates from asymptomatic patients did not amplify the mak16 gene nor did they develop ALA. Based on the results of Fisher's exact test (P<0.001), an association was inferred between the presence of the mak16 gene of E. histolytica and the ability to develop ALA in hamsters and with the patient's symptoms (P=0.02). The amplification of the mak16 gene suggests that it is an important gene in E. histolytica because it was present in the isolates from hamsters that developed liver damage.

발현ㆍ분비 벡터 및 임상 균주가 생성하는 신규 AmpC-type $\beta$-lactamase의 특성 (Characterization of Noble AmpC-Type $\beta$-Lactamases Among Clinical Isolates Using New Expression/Secretion Vector)

  • 정하일;성광훈;이정훈;장선주;이상희
    • 미생물학회지
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    • 제40권2호
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    • pp.104-110
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    • 2004
  • 임상균주인 Enterobacter spp.가 생성하는 신규 chromosomal AmpC $\beta$-lactamases의 유전자형 및 진화적 측면을 고찰하기 위해서 항생제 감수성 시험, pI값 측정, DNA 염기서열 분석, 진화적 유연관계를 새로운 발현$.$분비 벡터를 이용하여 수행하였다. 6개 임상균주에서 cephamycins (cefoxitin and cefotetan), amoxicillin, cephalothin 및 amoxicillin-clavulanic acid에 내성 요인인 AmpC $\beta$-lactamase 유전자를 pMSG1219에 cloning하여 그 특성을 조사하였다. 381-amino-acid $\beta$-lactamase를 암호화 하는 4개의 ampC 유전자($bla_EcloK992004.1$, $bla_EcloK995120.1$, $bla_EcloK99230$$bla_EareK9911729$)는 E. cloacae MHN1의 chromosomal ampC 유전자($bla_EcloMHN1$)와 99.6% 이상의 상동성을 나타냈으며 두 ampC 유전자($bla_Eclok9973$ and $bla_EcloK9914325$)는 E. cloacae 908R의 chromosomal ampC 유전자($bla_EcloQ9908R$)와 99.7% 상동성을 나타냈다. 이런 결과는 6개 ampC 유전자가 $bla_EcloMHN1$ or $bla_EcloQ9908R$로부터 유래되었음을 시산한다. 발현ㆍ분비 벡터를 이용하여 제조한 6개 transformant의 MIC값 양상 및 정확한 pI값은 E. coli 균주에 외부 유전자의 특성을 고찰하는 목적에 개발된 발현$.$분비 백터(pMSG1219)가 유용함을 의미한다.