پديدآورندگان :
Cheraghpour Hassan hassan.cheraghpour@famnit.upr.si University of Primorska, FAMNIT, Glagoljaška 8, 6000 Koper, Slovenia , M. Ghosseiri Nader mnghosseiri@yahoo.com Department of Mathematics, University of Kurdistan, P.O. Box 416, , Heidari Zadeh Leila heidaryzadehleila@yahoo.com Department of Mathematics and Statistics, Shoushtar Branch, Islamic Azad , Safari Sabrieh s.safari1387@sci.uok.ac.ir Department of Mathematics, University of Kurdistan, P.O. Box 416,
كليدواژه :
Quaternion ring , Matrix ring , Ideal , Radical
چكيده فارسي :
Let S be a ring with identity in which 2 is invertible. In this paper, we first describe the ideals and some radicalsof quaternion rings R = H(S) which is a generalization of theHamilton’s division ring of real quaternions H = H(R). Then, weprovide some conditions on the ring S that the quaternion ringH(S) is isomorphic to a 2 × 2 matrix ring. Finally, we presentsome common and noncommon properties of S and H(S).
