IJPAM: Volume 82, No. 4 (2013)

ON THE SPECIAL IDEALS IN KK-ALGEBRAS

Suphawat Asawasamrit$^1$, Aisuriya Sudprasert$^2$
$^1$Department of Mathematics
Faculty of Applied Science
King Mongkut's University of Technology North Bangkok
Bangkok, 10800, THAILAND
$^1$Centre of Excellence in Mathematics, CHE
Sri Ayutthaya Road, Bangkok, 10400, THAILAND
$^2$University of the Thai Chamber of Commerce
Bangkok, THAILAND


Abstract. In this paper, we define the notions of $q$-ideal, $a$-ideal and $p$-ideal in KK-algebras. We give several characterizations and the extensive theorems for the $q$-ideal, $a$-ideal and $p$-ideal.

Received: September 25, 2012

AMS Subject Classification: 06B35, 03G10, 06B99

Key Words and Phrases: ideal, $q$-ideal, $a$-ideal, $p$-ideal, KK-algebras

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DOI: 10.12732/ijpam.v82i4.9 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 82
Issue: 4