On maximal ideals of pseudo-BCK-algebras
Discussiones Mathematicae - General Algebra and Applications (2011)
- Volume: 31, Issue: 1, page 61-73
- ISSN: 1509-9415
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topAndrzej Walendziak. "On maximal ideals of pseudo-BCK-algebras." Discussiones Mathematicae - General Algebra and Applications 31.1 (2011): 61-73. <http://eudml.org/doc/276652>.
@article{AndrzejWalendziak2011,
abstract = {We investigate maximal ideals of pseudo-BCK-algebras and give some characterizations of them.},
author = {Andrzej Walendziak},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {pseudo-BCK-algebra; (maximal) ideal; maximal ideal},
language = {eng},
number = {1},
pages = {61-73},
title = {On maximal ideals of pseudo-BCK-algebras},
url = {http://eudml.org/doc/276652},
volume = {31},
year = {2011},
}
TY - JOUR
AU - Andrzej Walendziak
TI - On maximal ideals of pseudo-BCK-algebras
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2011
VL - 31
IS - 1
SP - 61
EP - 73
AB - We investigate maximal ideals of pseudo-BCK-algebras and give some characterizations of them.
LA - eng
KW - pseudo-BCK-algebra; (maximal) ideal; maximal ideal
UR - http://eudml.org/doc/276652
ER -
References
top- [1] C.C. Chang, Algebraic analysis of many valued logics, Trans. Amer. Math. Soc. 88 (1958), 467-490. doi: 10.1090/S0002-9947-1958-0094302-9 Zbl0084.00704
- [2] G. Dymek and A. Walendziak, On maximal ideals of pseudo MV-algebras, Commentationes Mathematicae 42 (2007), 117-126.
- [3] G. Dymek and A. Walendziak, Fuzzy ideals of pseudo-BCK-algebras, submitted.
- [4] A. Dvurečenskij and S. Pulmannová, New Trends in Quantum Structures, Dordrecht-Boston-London 2000.
- [5] G. Georgescu and A. Iorgulescu, Pseudo-MV algebras: a noncommutative extension of MV algebras, p. 961-968 in: 'The Proc. of the Fourth International Symp. on Economic Informatics', Bucharest, Romania 1999. Zbl0985.06007
- [6] G. Georgescu and A. Iorgulescu, Pseudo-BL algebras: a noncommutative extension of BL algebras, p. 90-92 in: 'Abstracts of the Fifth International Conference FSTA 2000', Slovakia 2000.
- [7] G. Georgescu and A. Iorgulescu, Pseudo-BCK algebras: an extension of BCK algebras, p. 97-114 in: 'Proc. of DMTCS'01: Combinatorics, Computability and Logic', Springer, London 2001. doi: 10.1007/978-1-4471-0717-0_9 Zbl0986.06018
- [8] G. Georgescu and A. Iorgulescu, Pseudo-MV algebras, Multiplae-Valued Logic 6 (2001), 95-135. Zbl1014.06008
- [9] P. Hájek, Metamathematics of fuzzy logic, Inst. of Comp. Science, Academy of Science of Czech Rep., Technical report 682 (1996). Zbl0937.03030
- [10] P. Hájek, Metamathematics of fuzzy logic, Kluwer Acad. Publ., Dordrecht, 1998. Zbl0937.03030
- [11] R. Halaš and J. Kühr, Deductive systems and annihilators of pseudo-BCK algebras, Ital. J. Pure Appl. Math., submitted. Zbl1184.06011
- [12] Y. Imai and K. Iséki, On axiom systems of propositional calculi XIV, Proc. Japan Academy 42 (1966), 19-22. doi: 10.3792/pja/1195522169 Zbl0156.24812
- [13] A. Iorgulescu, Classes of pseudo-BCK algebras, Part I, Journal of Multiplae-Valued Logic and Soft Computing 12 (2006), 71-130. Zbl1147.06011
- [14] A. Iorgulescu, Classes of pseudo-BCK algebras, Part II, Journal of Multiplae-Valued Logic and Soft Computing 12 (2006), 575-629. Zbl1154.06011
- [15] A. Iorgulescu, Algebras of logic as BCK algebras, submitted.
- [16] K. Isěki and S. Tanaka, Ideal theory of BCK-algebras, Math. Japonicae 21 (1976), 351-366. Zbl0355.02041
- [17] Y.B. Jun, Characterizations of pseudo-BCK algebras, Scientiae Mathematicae Japonicae 57 (2003), 265-270. Zbl1021.06504
- [18] J. Kühr, Pseudo-BCK-algebras and related structures, Univerzita Palackého v Olomouci 2007. Zbl1140.06008
- [19] J. Kühr, Representable pseudo-BCK-algebras and integral residuated lattices, Journal of Algebra 317 (2007), 354-364. doi: 10.1016/j.jalgebra.2007.07.003 Zbl1140.06008
- [20] J. Rachůnek, A non-commutative generalization of MV algebras, Czechoslovak Math. J. 52 (2002), 255-273. Zbl1012.06012
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