KaydedilenlerDerginizi ekleyin

Dergiler / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 2

A note on Multipliers of Subtraction Algebras

Kyung HO KİM
Sang DEOK LEE
Sayfa
165–171
Yayın Tarihi
2022-10-18
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗

Özet

-

Abstract

In this paper, we introduce the concept of normal ideal of a subtractionalgebra and study properties in connection with multiplies of subtraction algebras. The image and inverse image of a normal ideal of a subtraction algebra are proved to be again normal ideals. Also, we characterize the normal ideals of direct products of subtraction algebras.Finally, the concept of a weak congruence is introduced in subtractionalgebras and obtain an interconnection between multipliers and weakcongruences.

🔖

Bu Makaleye Atıf Yap

KİM, K. H., LEE, S. D. (2022). A note on Multipliers of Subtraction Algebras. Hacettepe Journal of Mathematics and Statistics, Cilt: 42 - Sayı: 2, 165–171. https://ajindex.com/articles/530440

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (5)

  1. Abbott, J. C. S ets, Lattices and Boolean Algebras, Allyn and Bacon, Boston 1969. Firat,A. On f -derivations of BCC-algebras, Ars Combinatoria, XCVIIA, 377–382, 2010.
  2. Gierz, G., Hofmann, K. H., Keimel, K., Lawson, J. D., Mislove, M., Scott, D. S. A Compendium of Continuous Lattices, Springer-Verlag, NewYork, 2003.
  3. Larsen, R. An Introduction to the Theory of Multipliers, Berlin: Springer-Verlag, 1971. Prabpayak C., and Leerawat, U. On derivations of BCC-algebras, Kasetsart J. 43, 398–401, 200 Schein, B. M. D ifference Semigroups, Comm. in Algebra 20, 2153–2169, 1992.
  4. Yon, Y. H., and Kim, K. H.M ultipliers in subtraction algebras, Scientiae Mathematicae Japonicae, 73 (2-3), 117–123, 2011.
  5. Zelinka, B. S ubtraction Semigroups, Math. Bohemica, 120, 445–447, 1995.