Research Article

Minimality over free monoid presentations

Volume: 43 Number: 6 December 1, 2014
EN

Minimality over free monoid presentations

Abstract

As a continues study of the paper [4], in here, we first state and prove the p-Cockcroft property (or, equivalently, efficiency) for a presentation, say PE, of the semi-direct product of a free abelian monoid rank two by a finite cyclic monoid. Then, in a separate section, we present sufficient conditions on a special case for PE to be minimal whilst it is inefficient.

Keywords

References

  1. . . .

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Kinkar Ch. Das This is me
South Korea

A. Dilek Maden This is me
Türkiye

Publication Date

December 1, 2014

Submission Date

October 18, 2012

Acceptance Date

January 4, 2013

Published in Issue

Year 2014 Volume: 43 Number: 6

APA
Cevik, A. S., Das, K. C., Cangul, İ. N., & Maden, A. D. (2014). Minimality over free monoid presentations. Hacettepe Journal of Mathematics and Statistics, 43(6), 899-913. https://izlik.org/JA69HZ68BN
AMA
1.Cevik AS, Das KC, Cangul İN, Maden AD. Minimality over free monoid presentations. Hacettepe Journal of Mathematics and Statistics. 2014;43(6):899-913. https://izlik.org/JA69HZ68BN
Chicago
Cevik, A. Sinan, Kinkar Ch. Das, İ. Naci Cangul, and A. Dilek Maden. 2014. “Minimality over Free Monoid Presentations”. Hacettepe Journal of Mathematics and Statistics 43 (6): 899-913. https://izlik.org/JA69HZ68BN.
EndNote
Cevik AS, Das KC, Cangul İN, Maden AD (December 1, 2014) Minimality over free monoid presentations. Hacettepe Journal of Mathematics and Statistics 43 6 899–913.
IEEE
[1]A. S. Cevik, K. C. Das, İ. N. Cangul, and A. D. Maden, “Minimality over free monoid presentations”, Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 6, pp. 899–913, Dec. 2014, [Online]. Available: https://izlik.org/JA69HZ68BN
ISNAD
Cevik, A. Sinan - Das, Kinkar Ch. - Cangul, İ. Naci - Maden, A. Dilek. “Minimality over Free Monoid Presentations”. Hacettepe Journal of Mathematics and Statistics 43/6 (December 1, 2014): 899-913. https://izlik.org/JA69HZ68BN.
JAMA
1.Cevik AS, Das KC, Cangul İN, Maden AD. Minimality over free monoid presentations. Hacettepe Journal of Mathematics and Statistics. 2014;43:899–913.
MLA
Cevik, A. Sinan, et al. “Minimality over Free Monoid Presentations”. Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 6, Dec. 2014, pp. 899-13, https://izlik.org/JA69HZ68BN.
Vancouver
1.A. Sinan Cevik, Kinkar Ch. Das, İ. Naci Cangul, A. Dilek Maden. Minimality over free monoid presentations. Hacettepe Journal of Mathematics and Statistics [Internet]. 2014 Dec. 1;43(6):899-913. Available from: https://izlik.org/JA69HZ68BN