IJPAM: Volume 19, No. 1 (2005)


Young Bae Jun$^1$, Hee Sik Kim$^2$, Chong Rock Lim$^3$
$^1$Department of Mathematical Education
Gyeongsang National University
Chinju, 660-701, KOREA
e-mail: ybjun@gsnu.ac.kr
$^{2,3}$Department of Mathematics
Hanyang University
Seongdong-su, Seoul, 133-791, KOREA
$^2$e-mail: heekim@hanyang.ac.kr
$^3$e-mail: lim@hanyang.ac.kr

Abstract.The notion of Hilbert semigroups is introduced, and related properties are investigated. The concept of left (resp. right) deductive systems (LDS (resp. RDS) for short) of a Hilbert semigroup is also introduced. we describe the LDS generated by a nonempty subset in a Hilbert semigroup as a simple form.

Received: December 30, 2004

AMS Subject Classification: 03G25, 06F99, 20M99

Key Words and Phrases: Hilbert semigroup, left (resp. right) deductive system (generated by a subset)

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 19
Issue: 1