ON IDEMPOTENT - SEMIPRIME RINGS
Corresponding Author(s) : Truong Cong Quynh
UED Journal of Social Sciences, Humanities and Education,
Vol. 7 No. 5 (2017): UED JOURNAL OF SOCIAL SCIENCES, HUMANITIES AND EDUCATION
A ring is called idempotent-semiprime (briefly, idem-semiprime) if for any for all idempotent , implies , The class of idem-semiprime rings is a proper subclass of semiprime rings. This new class includes domains, reduced rings, and Von Neumann regular rings. In this article, we investigate the usual ring theoretic constructions of idempotent-semiprime rings.
 Truong Cong Quynh, Le Van Thuyet (2013). Theory of Rings and Modules. Hue University Publishing House.
 Le Van Thuyet, Le Đuc Thoang (2017). Rings With Chain Conditions. Hue University Publishing House.
 Grigore Călugăreanu (2017). A New Class of Semiprime Rings. Houston Journal of Mathematics, University of Houston.
 Lam T.Y (2001). A First Course in Noncommutative Rings. Graduate Texts in Mathematics, vol.131, Springer Verlag.
 K. R. Goodearl and R. B. Warfield, Jr. An Introduction to Noncommutative Noetherian Rings. London Math. Soc. Student Texts 61, Cambridge University Press (2004), 2rd edition.