Representations of Menger $(2,n)$-semigroups by multiplace functions

Details Representations of Menger $(2,n)$-semigroups by multiplace functions Representations of Menger $(2,n)$-semigroups by multiplace functions

2005-11-27

arxiv.org/abs/math/0511653v1

Comunications in Algebra 34 (2006), 259-274

Mathematics

Rings and Algebras

Scientific paper

10.1080/00927870500346255

Investigation of partial multiplace functions by algebraic methods plays an important role in modern mathematics were we consider various operations on sets of functions, which are naturally defined. The basic operation for $n$-place functions is an $(n+1)$-ary superposition $[ ]$, but there are some other naturally defined operations, which are also worth of consideration. In this paper we consider binary Mann's compositions $\op{1},...,\op{n}$ for partial $n$-place functions, which have many important applications for the study of binary and $n$-ary operations. We present methods of representations of such algebras by $n$-place functions and find an abstract characterization of the set of $n$-place functions closed with respect to the set-theoretic inclusion.

Affiliated with

Also associated with

No associations

Rating

Representations of Menger $(2,n)$-semigroups by multiplace functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Representations of Menger $(2,n)$-semigroups by multiplace functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Representations of Menger $(2,n)$-semigroups by multiplace functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-613185