Embedding theorems for classes of GBL-algebras (Q964512)

Generalized BL-algebras (GBL-algebras, for short) are divisible residuated lattices. In this paper, the authors prove several embedding theorems for classes of GBL-algebras (using the poset product construction which is a common generalization of ordinal sums and of direct products). So, they generalize the ordinal sum decomposition of \textit{P. Agliano} and \textit{F. Montagna}'s paper [J. Pure Appl. Algebra 181, No.~2--3, 105--129 (2003; Zbl 1034.06009)] to classes of GBL-algebras.