http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
- 中文 을 입력하시려면 zhongwen을 입력하시고 space를누르시면됩니다.
- 北京 을 입력하시려면 beijing을 입력하시고 space를 누르시면 됩니다.
RISS 인기검색어
- 검색키워드
- 저자 : Kaynarca, Fatma (검색결과 9 건)
- 무료
- 기관 내 무료
- 유료
-
RING ENDOMORPHISMS WITH THE REVERSIBLE CONDITION
Baser, Muhittin,Kaynarca, Fatma,Kwak, Tai-Keun Korean Mathematical Society 2010 대한수학회논문집 Vol.25 No.3
P. M. Cohn called a ring R reversible if whenever ab = 0, then ba = 0 for a, $b\;{\in}\;R$. Commutative rings and reduced rings are reversible. In this paper, we extend the reversible condition of a ring as follows: Let R be a ring and $\alpha$ an endomorphism of R, we say that R is right (resp., left) $\alpha$-shifting if whenever $a{\alpha}(b)\;=\;0$ (resp., $\alpha{a)b\;=\;0$) for a, $b\;{\in}\;R$, $b{\alpha}{a)\;=\;0$ (resp., $\alpha(b)a\;=\;0$); and the ring R is called $\alpha$-shifting if it is both left and right $\alpha$-shifting. We investigate characterizations of $\alpha$-shifting rings and their related properties, including the trivial extension, Jordan extension and Dorroh extension. In particular, it is shown that for an automorphism $\alpha$ of a ring R, R is right (resp., left) $\alpha$-shifting if and only if Q(R) is right (resp., left) $\bar{\alpha}$-shifting, whenever there exists the classical right quotient ring Q(R) of R.
-
RIGIDNESS AND EXTENDED ARMENDARIZ PROPERTY
Baser, Muhittin,Kaynarca, Fatma,Kwak, Tai-Keun Korean Mathematical Society 2011 대한수학회보 Vol.48 No.1
For a ring endomorphism of a ring R, Krempa called $\alpha$ rigid endomorphism if $a{\alpha}(a)$ = 0 implies a = 0 for a $\in$ R, and Hong et al. called R an $\alpha$-rigid ring if there exists a rigid endomorphism $\alpha$. Due to Rege and Chhawchharia, a ring R is called Armendariz if whenever the product of any two polynomials in R[x] over R is zero, then so is the product of any pair of coefficients from the two polynomials. The Armendariz property of polynomials was extended to one of skew polynomials (i.e., $\alpha$-Armendariz rings and $\alpha$-skew Armendariz rings) by Hong et al. In this paper, we study the relationship between $\alpha$-rigid rings and extended Armendariz rings, and so we get various conditions on the rings which are equivalent to the condition of being an $\alpha$-rigid ring. Several known results relating to extended Armendariz rings can be obtained as corollaries of our results.
-
-
ON COMMUTATIVITY OF SKEW POLYNOMIALS AT ZERO
Jin, Hai-Lan,Kaynarca, Fatma,Kwak, Tai Keun,Lee, Yang Korean Mathematical Society 2017 대한수학회보 Vol.54 No.1
We, in this paper, study the commutativity of skew polynomials at zero as a generalization of an ${\alpha}-rigid$ ring, introducing the concept of strongly skew reversibility. A ring R is be said to be strongly ${\alpha}-skew$ reversible if the skew polynomial ring $R[x;{\alpha}]$ is reversible. We examine some characterizations and extensions of strongly ${\alpha}-skew$ reversible rings in relation with several ring theoretic properties which have roles in ring theory.
-
On commutativity of skew polynomials at zero
Hai Lan Jin,Fatma Kaynarca,곽태근,이양 대한수학회 2017 대한수학회보 Vol.54 No.1
We, in this paper, study the commutativity of skew polynomials at zero as a generalization of an $\alpha$-rigid ring, introducing the concept of strongly skew reversibility. A ring $R$ is be said to be \emph{strongly $\alpha$-skew reversible} if the skew polynomial ring $R[x;\alpha]$ is reversible. We examine some characterizations and extensions of strongly $\alpha$-skew reversible rings in relation with several ring theoretic properties which have roles in ring theory.
-
INSERTION-OF-FACTORS-PROPERTY ON SKEW POLYNOMIAL RINGS
BASER, MUHITTIN,HICYILMAZ, BEGUM,KAYNARCA, FATMA,KWAK, TAI KEUN,LEE, YANG Korean Mathematical Society 2015 대한수학회지 Vol.52 No.6
In this paper, we investigate the insertion-of-factors-property (simply, IFP) on skew polynomial rings, introducing the concept of strongly ${\sigma}-IFP$ for a ring endomorphism ${\sigma}$. A ring R is said to have strongly ${\sigma}-IFP$ if the skew polynomial ring R[x;${\sigma}$] has IFP. We examine some characterizations and extensions of strongly ${\sigma}-IFP$ rings in relation with several ring theoretic properties which have important roles in ring theory. We also extend many of related basic results to the wider classes, and so several known results follow as consequences of our results.
-
INSERTION-OF-FACTORS-PROPERTY ON SKEW POLYNOMIAL RINGS
Muhittin Baser,Begum Hicyilmaz,Fatma Kaynarca,곽태근,이양 대한수학회 2015 대한수학회지 Vol.52 No.6
In this paper, we investigate the insertion-of-factors-proper- ty (simply, IFP) on skew polynomial rings, introducing the concept of strongly σ-IFP for a ring endomorphism σ. A ring R is said to have strongly σ-IFP if the skew polynomial ring R[x; σ] has IFP. We examine some characterizations and extensions of strongly σ-IFP rings in relation with several ring theoretic properties which have important roles in ring theory. We also extend many of related basic results to the wider classes, and so several known results follow as consequences of our results.
-
Rigidness and extended Armendariz property
Muhittin Ba[문자]er,Fatma Kaynarca,곽태근 대한수학회 2011 대한수학회보 Vol.48 No.1
For a ring endomorphism α of a ring R, Krempa called α a rigid endomorphism if aα(a)=0 implies a=0 for a∈ R, and Hong et al. called R an α- rigid ring if there exists a rigid endomorphism α. Due to Rege and Chhawchharia, a ring R is called Armendariz if whenever the product of any two polynomials in R[x] over R is zero, then so is the product of any pair of coefficients from the two polynomials. The Armendariz property of polynomials was extended to one of skew polynomials (i.e.,α-Armendariz rings and α-skew Armendariz rings) by Hong et al. In this paper, we study the relationship between α-rigid rings and extended Armendariz rings, and so we get various conditions on the rings which are equivalent to the condition of being an α-rigid ring. Several known results relating to extended Armendariz rings can be obtained as corollaries of our results.
-
Leaching kinetics of Chevreul's salt in hydrochloric acid solutions
Turan Calban,Soner Kuslu,Burak Kaynarca,Sabri Colak 한국공업화학회 2014 Journal of Industrial and Engineering Chemistry Vol.20 No.4
The aim of this study was to investigate the dissolution kinetics of Chevreul’s salt in hydrochloric acid [HCl] solutions in a mechanical agitation system and to precipitate Chevreul’s salt [Cu2SO3 CuSO3 2H2O] using ammonium sulfide [(NH4)2SO3] solutions at various concentrations from synthetic aqueous copper(II) sulfate [CuSO4] solutions. Reaction temperature, concentration of HCl, stirring speed and solid/liquid ratio were selected as parameters. The experimental results were successfully correlated by linear regression using Statistica Package Program. Dissolution curves were evaluated in order to test shrinking core models for solid–fluid systems. It was observed that increase in the reaction temperature and decrease in the solid/liquid ratio causes an increase the dissolution rate of Chevreul’s salt. The dissolution extent is highly increased with increase the concentration of HCl solutions in the experimental conditions. The activation energy was found to be as 57 kJ/mol. The leaching of Chevreul’s salt was controlled by diffusion through the ash or product layer.
ScienceON연관 검색어 추천
이 검색어로 많이 본 자료
활용도 높은 자료
