A NEW VIEW ON SOFT RINGS


Celik Y., Ekiz C., YAMAK S.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.40, ss.273-286, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 40 Konu: 2
  • Basım Tarihi: 2011
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Sayfa Sayıları: ss.273-286

Özet

In this paper we study soft rings and ideals. Firstly, we define a new binary relation on soft sets using binary relations on the universe and parameter sets. Then, we introduce the notion of soft ring and soft ideal over a ring, and some examples are given. Also, we obtain some new properties of soft rings and soft ideals. Lastly, we define extended sum, restricted sum, extended product, and restricted product of soft sets, and derive their basic properties.