IF-filters of pseudo-BL-algebras

Magdalena Wojciechowska-Rysiawa

Discussiones Mathematicae - General Algebra and Applications (2015)

  • Volume: 35, Issue: 2, page 177-193
  • ISSN: 1509-9415

Abstract

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Characterizations of IF-filters of a pseudo-BL-algebra are established. Some related properties are investigated. The notation of prime IF- filters and a characterization of a pseudo-BL-chain are given. Homomorphisms of IF-filters and direct product of IF-filters are studied.

How to cite

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Magdalena Wojciechowska-Rysiawa. "IF-filters of pseudo-BL-algebras." Discussiones Mathematicae - General Algebra and Applications 35.2 (2015): 177-193. <http://eudml.org/doc/276680>.

@article{MagdalenaWojciechowska2015,
abstract = {Characterizations of IF-filters of a pseudo-BL-algebra are established. Some related properties are investigated. The notation of prime IF- filters and a characterization of a pseudo-BL-chain are given. Homomorphisms of IF-filters and direct product of IF-filters are studied.},
author = {Magdalena Wojciechowska-Rysiawa},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {pseudo-BL-algebra; filter; IF-filter; prime IF-filters; pseudo-BL-chain; homomorphism; direct product; pseudo BL-algebra; (strongly) bipartite pseudo BL-algebra},
language = {eng},
number = {2},
pages = {177-193},
title = {IF-filters of pseudo-BL-algebras},
url = {http://eudml.org/doc/276680},
volume = {35},
year = {2015},
}

TY - JOUR
AU - Magdalena Wojciechowska-Rysiawa
TI - IF-filters of pseudo-BL-algebras
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2015
VL - 35
IS - 2
SP - 177
EP - 193
AB - Characterizations of IF-filters of a pseudo-BL-algebra are established. Some related properties are investigated. The notation of prime IF- filters and a characterization of a pseudo-BL-chain are given. Homomorphisms of IF-filters and direct product of IF-filters are studied.
LA - eng
KW - pseudo-BL-algebra; filter; IF-filter; prime IF-filters; pseudo-BL-chain; homomorphism; direct product; pseudo BL-algebra; (strongly) bipartite pseudo BL-algebra
UR - http://eudml.org/doc/276680
ER -

References

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  10. [10] J. Rachůnek, A non-commutative generalization of MV algebras, Czechoslovak Math. J. 52 (2002), 255-273. Zbl1012.06012
  11. [11] J. Rachůnek and D. Šalounová, Fuzzy filters and fuzzy prime filters of bounded Rl-monoids and pseudo-BLalgebras, Information Sciences 178 (2008), 3474-3481. doi: 10.1016/j.ins.2008.05.005 Zbl1156.06009
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  13. [13] M. Wojciechowska-Rysiawa, Anti fuzzy filters of pseudo-BL algebras, Comment. Math. 51 (2011), 155-167. Zbl1294.03044
  14. [14] L.A. Zadeh, Fuzzy sets, Inform. Control 8 (1965), 338-353. doi: 10.1016/S0019-9958(65)90241-X Zbl0139.24606

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