# Foldness of Commutative Ideals in BCK-algebras

Celestin Lele; Salissou Moutari

Discussiones Mathematicae - General Algebra and Applications (2006)

- Volume: 26, Issue: 1, page 111-135
- ISSN: 1509-9415

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topCelestin Lele, and Salissou Moutari. "Foldness of Commutative Ideals in BCK-algebras." Discussiones Mathematicae - General Algebra and Applications 26.1 (2006): 111-135. <http://eudml.org/doc/276931>.

@article{CelestinLele2006,

abstract = {This paper deals with some properties of n-fold commutative ideals and n-fold weak commutative ideals in BCK-algebras. Afterwards, we construct some algorithms for studying foldness theory of commutative ideals in BCK-algebras.},

author = {Celestin Lele, Salissou Moutari},

journal = {Discussiones Mathematicae - General Algebra and Applications},

keywords = {BCK-algebra; fuzzy point; n-fold commutative ideals; n-fold weak commutative ideals; -fold commutative ideals; fuzzification},

language = {eng},

number = {1},

pages = {111-135},

title = {Foldness of Commutative Ideals in BCK-algebras},

url = {http://eudml.org/doc/276931},

volume = {26},

year = {2006},

}

TY - JOUR

AU - Celestin Lele

AU - Salissou Moutari

TI - Foldness of Commutative Ideals in BCK-algebras

JO - Discussiones Mathematicae - General Algebra and Applications

PY - 2006

VL - 26

IS - 1

SP - 111

EP - 135

AB - This paper deals with some properties of n-fold commutative ideals and n-fold weak commutative ideals in BCK-algebras. Afterwards, we construct some algorithms for studying foldness theory of commutative ideals in BCK-algebras.

LA - eng

KW - BCK-algebra; fuzzy point; n-fold commutative ideals; n-fold weak commutative ideals; -fold commutative ideals; fuzzification

UR - http://eudml.org/doc/276931

ER -

## References

top- [1] J. Meng, On ideals in BCK-algebras, Math. Japonica 40 (1994), 143-154. Zbl0807.06012
- [2] J. Meng and X. Guo, On f uzzy ideals in BCK/BCI-algebras, Fuzzy Sets and Systems 149 (2005), 509-525. Zbl1070.06010
- [3] J. Meng, Y.B. Jun and H.S. Kim, Fuzzy implicative ideals of BCK-algebras, Fuzzy Sets and Systems 89 (1997), 243-248. Zbl0914.06009
- [4] Y.B. Jun and E.H. Roh, Fuzzy commutative ideals in BCK-algebras, Fuzzy Sets and Systems 64 (1994), 401-405. Zbl0846.06011
- [5] Y.B. Jun, Characterization of Noetherian in BCK-algebras via fuzzy ideals, Fuzzy Sets and Systems 108 (1999), 231-234. Zbl0940.06014
- [6] Y.B Jun, S.Z. Song and C. Lele, Foldness of quasi-associative ideals in BCI-algebras, Scientiae Mathematicae 6 (2002), 227-231. Zbl1018.06015
- [7] Y.B Jun and K.H. Kim, Fuzzifications of foldness of quasi-associative ideals in BCI-algebras, J. Appl. Math. Computing 11 (2003), 255-263. Zbl1027.06502
- [8] Y.B. Jun and C. Lele, Fuzzy point BCK/BCI-algebras, International Journal of Pure and Applied Mathematics 1 (2002), 33-39.
- [9] Y.B. Jun, On n-fold fuzzy implicative/commutative ideals of BCK-algebras, IJMMS, (2001), 419-424. Zbl0993.06017
- [10] C. Lele, C. Wu, P. Weke, T. Mamadou and G.E. Njock, Fuzzy ideals and weak ideals in BCK-algebras, Scientiae Mathematicae Japonicae 54 (2001), 323-336. Zbl0991.06013
- [11] C. Hoo, Some fuzzy concepts of BCI, BCK and MV-algebras, Int. J. Approx. Reason. 18 (2002), 177-189. Zbl0935.06018
- [12] L.Z. Liu and K.T. Li, Fuzzy filters of BL-algebras, Information Sciences (In press). Zbl1075.03036
- [13] Y. Huang and Z. Chen, On ideals in BCK-algebra, Math. Japonica 50 (1999), 211-226. Zbl0938.06018
- [14] K. Iseki and S. Tanaka, An introduction to the theory of BCK-algebra, Math. Japonica 23 (1978), 935-942.
- [15] O.G. Xi, Fuzzy BCK-algebras, Math. Japonica 36 (1991), 935-942. Zbl0744.06010
- [16] L.A. Zadeh, Fuzzy sets, Inform. and Control 8 (1965), 338-353. Zbl0139.24606

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