JOURNAL BROWSE
Search
Advanced SearchSearch Tips
β-ALGEBRAS AND RELATED TOPICS
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
β-ALGEBRAS AND RELATED TOPICS
Kim, Young-Hee; So, Keum-Sook;
  PDF(new window)
 Abstract
In this note we investigate some properties of -algebras and further relations with -algebras. Especially, we show that if (, -, +, 0) is a -algebra, then (, +) is a semigroup with identity 0. We discuss some constructions of linear -algebras in a field .
 Keywords
-algebra;-algebra;-algebra;linear;
 Language
English
 Cited by
1.
Several types of groupoids induced by two-variable functions, SpringerPlus, 2016, 5, 1  crossref(new windwow)
 References
1.
P. J. Allen, J. Neggers, and H. S. Kim, B-algebras and groups, Sci. Math. Jpn. 59 (2004), no. 1, 23-29.

2.
A. Iorgulescu, Algebras of Logic as BCK-Algebras, Editura ASE, Bucharest, 2008.

3.
K. Iseki, On BCI-algebras, Math. Sem. Notes Kobe Univ. 8 (1980), no. 1, 125-130.

4.
K. Iseki and S. Tanaka, An introduction to theory of BCK-algebras, Math. Japon. 23 (1978), no. 1, 1-26.

5.
H. S. Kim and H. G. Park, On 0-commutative B-algebras, Sci. Math. Jpn. 62 (2005), no. 1, 7-12.

6.
J. Meng and Y. B. Jun, BCK-Algebras, Kyungmoon Sa, Seoul, 1994.

7.
J. Neggers and H. S. Kim, On B-algebras, Mat. Vesnik 54 (2002), no. 1-2, 21-29.

8.
J. Neggers and H. S. Kim, On $\beta$-algebras, Math. Slovaca 52 (2002), no. 5, 517-530.

9.
H. Yisheng, BCI-Algebras, Science Press, Beijing, 2006.