Article citationsMore>>

H. S. Vandiver, “Note on a Simple Type of Algebra in Which Cancellation Law of Addition Does Not Hold,” Bulletin of the American Mathematical Society, Vol. 40, No. 12, 1934, pp. 914-920. doi:10.1090/S0002-9904-1934-06003-8

has been cited by the following article:

• TITLE: Characterizations of Hemirings by the Properties of Their k-Ideals

  AUTHORS: Muhammad Shabir, Rukhshanda Anjum

  KEYWORDS: Hemiring; Fuzzy k-Ideal; Idempotent k-Ideals; Prime Ideals; Semiprime Ideals

  JOURNAL NAME: Applied Mathematics, Vol.4 No.5, May 13, 2013

  ABSTRACT: In this paper we characterize those hemirings for which each k-ideal is idempotent. We also characterize those hemirings for which each fuzzy k-ideal is idempotent. The space of prime k-ideals (fuzzy k-prime k-ideals) is topologized.