Pseudo $BL$-algebras and $DR\ell$-monoids

Kühr, Jan. "Pseudo $BL$-algebras and $DR\ell $-monoids." Mathematica Bohemica 128.2 (2003): 199-208. <http://eudml.org/doc/249223>.

@article{Kühr2003,
abstract = {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.},
author = {Kühr, Jan},
journal = {Mathematica Bohemica},
keywords = {pseudo $BL$-algebra; $DR\ell $-monoid; filter; polar; representable pseudo $BL$-algebra; DR-monoid; filter; polar; representable pseudo BL-algebra},
language = {eng},
number = {2},
pages = {199-208},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Pseudo $BL$-algebras and $DR\ell $-monoids},
url = {http://eudml.org/doc/249223},
volume = {128},
year = {2003},
}

TY - JOUR
AU - Kühr, Jan
TI - Pseudo $BL$-algebras and $DR\ell $-monoids
JO - Mathematica Bohemica
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 128
IS - 2
SP - 199
EP - 208
AB - 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.
LA - eng
KW - pseudo $BL$-algebra; $DR\ell $-monoid; filter; polar; representable pseudo $BL$-algebra; DR-monoid; filter; polar; representable pseudo BL-algebra
UR - http://eudml.org/doc/249223
ER -