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TM-Algebra - An Introduction

Published on None 2010 by Dr.A.Tamilarasi, K.Megalai
journal_cover_thumbnail

Computer Aided Soft Computing Techniques for Imaging and Biomedical Applications
Foundation of Computer Science USA
CASCT - Number 1
None 2010
Authors: Dr.A.Tamilarasi, K.Megalai
e2bfa2b0-5aaa-45a4-9563-71b1334c672e

Dr.A.Tamilarasi, K.Megalai . TM-Algebra - An Introduction. Computer Aided Soft Computing Techniques for Imaging and Biomedical Applications. CASCT, 1 (None 2010), 17-23.

@article{
author = { Dr.A.Tamilarasi, K.Megalai },
title = { TM-Algebra - An Introduction },
journal = { Computer Aided Soft Computing Techniques for Imaging and Biomedical Applications },
issue_date = { None 2010 },
volume = { CASCT },
number = { 1 },
month = { None },
year = { 2010 },
issn = 0975-8887,
pages = { 17-23 },
numpages = 7,
url = { /specialissues/casct/number1/996-29/ },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Special Issue Article
%1 Computer Aided Soft Computing Techniques for Imaging and Biomedical Applications
%A Dr.A.Tamilarasi
%A K.Megalai
%T TM-Algebra - An Introduction
%J Computer Aided Soft Computing Techniques for Imaging and Biomedical Applications
%@ 0975-8887
%V CASCT
%N 1
%P 17-23
%D 2010
%I International Journal of Computer Applications
Abstract

In this paper, a new notion, called TM-algebra, which is a generalization of the idea of Q/BCH/BCI/BCK/BCC-algebra, is introduced. Some theorems discussed in Q-and BCK algebras are generalized. Definition of TM-algebra along with various propositions are stipulated and presented with their respective proofs. The relation between TM-algebra and other algebra has been investigated and detailed in the paper. Also ideal, p-radical, p-semi simple are discussed.

References
  1. J. Neggers, S. S. Ahn and H. S. Kim., On d-algebras, Math. Slovaca 49 (1999), 9-26
  2. J. Neggers, S. S. Ahn and H. S. Kim. On Q-algebras, IJMMS 27 (2001), 749-757.
  3. K. Iseki, On BCI –algebras, Math. Sem. Notes Kobe Univ. 8 (1980), 25- 130.
  4. K.Iseki and S.Tanaka. An introduction to the theory of BCk- algebras, Math. Japon. 23 (1978), 1-26
  5. Q.P. Hu and X. Li. On BCH-algebras, Math. Sem. Notes Kobe Univ. 2 (1983), 313-320.
  6. Q.P. Hu and X. Li. On proper BCH-algebras, Math. Japon. 30 (1985), 659- 661.
  7. Y.B. Jun, E.H. Roh and H.S. Kim. On BH – algebras, Sci. Math 1 (1998), 347-354.
  8. S.S. Ahn and H.S. Kim, On QS –algebras, J. Changcheong Math. Soc. 12 (1999), 33-41
Index Terms

Computer Science
Information Sciences

Keywords

TM-Algebra ideal p-radical p-semi simple