TY  - JOUR
A1  - Denecke, Klaus-Dieter
A1  - Pibaljommee, Bundit
T1  - Clones of implicit operations
N2  - There is a close connection between a variety and its clone. The clone of a variety is a multibased algebra, where the different universes are the sets of n-ary terms over this variety for every natural number n and where the operations describe the superposition of terms of different arities. All projections are added as nullary operations. Subvarieties correspond to homomorphic images of clones. Subclones can be described by reducts of varieties, isomorphic clones by equivalent varieties. Clone identities correspond to hyperidentities and varieties of clones to hypervarieties. Pseudovarieties are classes of finite algebras which are closed under taking of subalgebras, homomorphic images and finite direct products. Pseudovarieties are important in the theories of finite state automata, rational languages, finite semigroups and their connections. In a very natural way, there arises the question for the clone of a pseudovariety. In the present paper, we will describe this algebraic structure
Y1  - 2005
SN  - 0002-5240
ER  - 
TY  - JOUR
A1  - Denecke, Klaus-Dieter
A1  - Pibaljommee, Bundit
T1  - Lattices of M-solid Generalized Varieties and M-solid Pseudovarieties
Y1  - 2003
ER  - 
TY  - JOUR
A1  - Denecke, Klaus-Dieter
A1  - Pibaljommee, Bundit
T1  - Locally finite M-solid Varieties of Semigroups
Y1  - 2003
ER  - 
TY  - THES
A1  - Pibaljommee, Bundit
T1  - M-solid Pseudovarieties
Y1  - 2005
CY  - Potsdam
ER  -