Year 2013,
Volume: 13 Issue: 1, 1 - 7, 01.04.2013
Abstract
For an endomorphism of a ring , the endomorphism is called left semicommutative if implies ( )semicommutative endomorphism of . In this paper, varios results of semicommutative rings are extended to left −semicommutative rings
Keywords
References
- Başer, M., Hong, C.Y. and Kwak, T.K., 2009. On Extended Riversible Rings. Algebra Colloquium, 16(1), 37-48.
- Başer, M.,Harmancı, A. And Kwak, T.K., 2008. Generalized Semicommutative Rings and Their Extensions. Bulletin of the Korean Mathematical Society, 45(2), 285-297.
- Cohn, P.M., 1999. Reversible rings. Bulletin of the London Mathematical. Society, 31, 641-648.
- Habeb, J.M., 1990. A note on zero commutative and duo rings. Mathematical Journal of Okayama University, 32, 73-76.
- Hong, C.Y. , Kim, N.K. and Kwak, T.K., 2000. Ore extensions of Baer and p.p.-rings. Journal of Pure and Applied Algebra, 151(3), 215-226.
- Hong, C.Y. , Kim, N.K. and Kwak, T.K., 2003. On skew Armendariz rings. Communications in Algebra, 31(3), 103-122.
- Hong, C.Y. , Kim, N.K. and Kwak, T.K., 2005. Extensions of generalized reduced rings. Algebra Colloquium, 12(2), 229-240.
- Huh, C. , Lee, Y. and Smoktunowicz, A., 2002. Armendariz rings and semicommutative rings. Communications in Algebra, 30(2) 751-761.
- Kim, N.K. and Lee, Y., 2000. Armendariz rings and reduced rings. Journal of Algebra, 223, 477-488.
- Kim, N.K. and Lee, Y., 2003. Extensions of reversible rings. Journal of Pure Applied Algebra, 185, 207-223.
- Krempa, J., 1996. Some examples of reduced rings. Algebra Colloquium, 3(4), 289-300.
- Rege, M.B. and Chhawchharia, S., 1997. Armendariz
- rings. Japan Academy. Proceedings. Series A. Mathematical Sciences, 73, 14-17.
Year 2013,
Volume: 13 Issue: 1, 1 - 7, 01.04.2013
Abstract
bir halka ve da nin bir endomorfizması olmak üzere eğer, , ∈ için = 0 olması ( )= 0 olmasını gerektiriyor ise, bu durumda endomorfizmasına soldan yarıdeğişmelidir denir. Eğer bir halkasının soldan yarıdeğişmeli bir endomorfizması varsa, bu durumda halkasına soldan −yarıdeğişmeli halka denir. Bu çalışmada yarıdeğişmeli halkalar için bilinen bir çok sonuç soldan −yarıdeğişmeli halkalara genelleştirilecektir
References
- Başer, M., Hong, C.Y. and Kwak, T.K., 2009. On Extended Riversible Rings. Algebra Colloquium, 16(1), 37-48.
- Başer, M.,Harmancı, A. And Kwak, T.K., 2008. Generalized Semicommutative Rings and Their Extensions. Bulletin of the Korean Mathematical Society, 45(2), 285-297.
- Cohn, P.M., 1999. Reversible rings. Bulletin of the London Mathematical. Society, 31, 641-648.
- Habeb, J.M., 1990. A note on zero commutative and duo rings. Mathematical Journal of Okayama University, 32, 73-76.
- Hong, C.Y. , Kim, N.K. and Kwak, T.K., 2000. Ore extensions of Baer and p.p.-rings. Journal of Pure and Applied Algebra, 151(3), 215-226.
- Hong, C.Y. , Kim, N.K. and Kwak, T.K., 2003. On skew Armendariz rings. Communications in Algebra, 31(3), 103-122.
- Hong, C.Y. , Kim, N.K. and Kwak, T.K., 2005. Extensions of generalized reduced rings. Algebra Colloquium, 12(2), 229-240.
- Huh, C. , Lee, Y. and Smoktunowicz, A., 2002. Armendariz rings and semicommutative rings. Communications in Algebra, 30(2) 751-761.
- Kim, N.K. and Lee, Y., 2000. Armendariz rings and reduced rings. Journal of Algebra, 223, 477-488.
- Kim, N.K. and Lee, Y., 2003. Extensions of reversible rings. Journal of Pure Applied Algebra, 185, 207-223.
- Krempa, J., 1996. Some examples of reduced rings. Algebra Colloquium, 3(4), 289-300.
- Rege, M.B. and Chhawchharia, S., 1997. Armendariz
- rings. Japan Academy. Proceedings. Series A. Mathematical Sciences, 73, 14-17.
There are 13 citations in total.
Details
| Primary Language | Turkish |
|---|---|
| Journal Section | Articles |
| Authors | |
| Publication Date | April 1, 2013 |
| Submission Date | August 8, 2015 |
| Published in Issue | Year 2013 Volume: 13 Issue: 1 |
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