. . "Botur, Michal" . . . "0165-0114" . . . "1 May 2013" . "Pseudo MV-algebra; Non-associative BL-algebra; MTL-algebra; Non-associative t-norm; t-Norm; Diagonal subalgebra; Generator; Congruence extension property; State-morphism algebra; State BL-algebra; State MV-algebra"@en . "State-morphism algebras - General approach"@en . "State-morphism algebras - General approach" . . . . "2"^^ . . . "Dvure\u010Denskij, Anatolij" . "107712" . . "2"^^ . "We present a complete description of subdirectly irreducible state BL-algebras as well as of subdirectly irreducible state-morphism BL-algebras. In addition, we present a general theory of state-morphism algebras, that is, algebras of general type with state-morphism which is a fixed idempotent endomorphism. We define a diagonal state-morphism algebra and we show that every subdirectly irreducible state-morphism algebra can be embedded into a diagonal one. We describe generators of the varieties of state-morphism algebras, in particular generators of state-morphism BL-algebras, state-morphism MTL-algebras, state-morphism non-associative BL-algebras, and state-morphism pseudo MV-algebras."@en . . "RIV/61989592:15310/13:33146291" . . . "We present a complete description of subdirectly irreducible state BL-algebras as well as of subdirectly irreducible state-morphism BL-algebras. In addition, we present a general theory of state-morphism algebras, that is, algebras of general type with state-morphism which is a fixed idempotent endomorphism. We define a diagonal state-morphism algebra and we show that every subdirectly irreducible state-morphism algebra can be embedded into a diagonal one. We describe generators of the varieties of state-morphism algebras, in particular generators of state-morphism BL-algebras, state-morphism MTL-algebras, state-morphism non-associative BL-algebras, and state-morphism pseudo MV-algebras." . "000317160700006" . . "[2632819ADE46]" . . "O" . "Fuzzy Sets and Systems" . . "15310" . . . . "NL - Nizozemsko" . "RIV/61989592:15310/13:33146291!RIV14-MSM-15310___" . . "13"^^ . . "State-morphism algebras - General approach" . "218" . . "State-morphism algebras - General approach"@en . "10.1016/j.fss.2012.08.013" .