Pseudo $BL$-algebras and $DR\ell $-monoids
Mathematica Bohemica, Tome 128 (2003) no. 2, pp. 199-208
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It is shown that pseudo $BL$-algebras are categorically equivalent to certain bounded $DR\ell $-monoids. Using this result, we obtain some properties of pseudo $BL$-algebras, in particular, we can characterize congruence kernels by means of normal filters. Further, we deal with representable pseudo $BL$-algebras and, in conclusion, we prove that they form a variety.
DOI :
10.21136/MB.2003.134040
Classification :
03B52, 03G25, 06D35, 06F05
Keywords: pseudo $BL$-algebra; $DR\ell $-monoid; filter; polar; representable pseudo $BL$-algebra
Keywords: pseudo $BL$-algebra; $DR\ell $-monoid; filter; polar; representable pseudo $BL$-algebra
@article{10_21136_MB_2003_134040,
author = {K\"uhr, Jan},
title = {Pseudo $BL$-algebras and $DR\ell $-monoids},
journal = {Mathematica Bohemica},
pages = {199--208},
publisher = {mathdoc},
volume = {128},
number = {2},
year = {2003},
doi = {10.21136/MB.2003.134040},
mrnumber = {1995573},
zbl = {1024.06005},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2003.134040/}
}
Kühr, Jan. Pseudo $BL$-algebras and $DR\ell $-monoids. Mathematica Bohemica, Tome 128 (2003) no. 2, pp. 199-208. doi: 10.21136/MB.2003.134040
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