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On finite commutative loops which are centrally nilpotent

Emma Leppälä, Markku Niemenmaa (2015)

Commentationes Mathematicae Universitatis Carolinae

Let Q be a finite commutative loop and let the inner mapping group I ( Q ) C p n × C p n , where p is an odd prime number and n 1 . We show that Q is centrally nilpotent of class two.

On finite loops and their inner mapping groups

Markku Niemenmaa (2004)

Commentationes Mathematicae Universitatis Carolinae

In this paper we consider finite loops and discuss the following problem: Which groups are (are not) isomorphic to inner mapping groups of loops? We recall some known results on this problem and as a new result we show that direct products of dihedral 2-groups and nontrivial cyclic groups of odd order are not isomorphic to inner mapping groups of finite loops.

On ideals in regular ternary semigroups

Tapan K. Dutta, Sukhendu Kar, Bimal K. Maity (2008)

Discussiones Mathematicae - General Algebra and Applications

In this paper we study some interesting properties of regular ternary semigroups, completely regular ternary semigroups, intra-regular ternary semigroups and characterize them by using various ideals of ternary semigroups.

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