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Maps preserving triple product on rings | ||
| Journal of Mahani Mathematical Research | ||
| دوره 10، شماره 2، دی 2021، صفحه 1-8 اصل مقاله (435.59 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmrc.2021.16645.1124 | ||
| نویسندگان | ||
| Ali Taghavi* 1؛ Roja Hosseinzadeh2 | ||
| 1Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, P.O.Box 47416-1468, Babolsar, Iran. | ||
| 2Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, P.O.Box 47416-1468, Babolsar, Iran. | ||
| چکیده | ||
| Let R and R0 be two unital rings such that R contains a non- trivial idempotent P1. If R is a prime ring, we characterize the form of bijective map ' : R ! R0 which satis es '(ABP) = '(A)'(B)'(P), for every A;B 2 R and P 2 fP1; P2g, where P2 := I P1 and I is the unit member of R. It is shown that ' is an isomorphism multiplied by a central element. Finally, we characterize the form of ' : R ! R which satis es '(P)'(A)'(P) = PAP, for every A 2 R and P 2 fP1; P2g. | ||
| کلیدواژهها | ||
| Preserver problem؛ Ring؛ Triple product؛ Non-trivial idempotent | ||
| مراجع | ||
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