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Article

Kühr, Jan
Pseudo $BL$-algebras and $DR\ell $-monoids. (English). Mathematica Bohemica, vol. 128 (2003), issue 2, pp. 199-208
MSC: 03B52, 03G25, 06D35, 06F05 | MR 1995573 | Zbl 1024.06005 | DOI: 10.21136/MB.2003.134040
Keywords:
pseudo $BL$-algebra; $DR\ell $-monoid; filter; polar; representable pseudo $BL$-algebra
Summary:
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.
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