## 39 Citations

A “q-Deformed” Generalization Of The Hosszu-Gluskin Theorem

- Mathematics
- 2013

In this paper a new form of the Hosszu-Gluskin theorem is presented in terms of polyadic powers and using the language of diagrams. It is shown that the Hosszu-Gluskin chain formula is not unique and…

A Study of n-ary Subgroups with Respect to t-conorm

- Mathematics, Computer Science
- 2017

The main contribution of this paper are studying the properties of s-fuzzy n-ary subgroups over s-level n-ARY subgroup of (G; f) , n- Cary homomorphism and reta(G;f).

Discussiones Mathematicae General Algebra and Applications 27 ( 2007 ) 199 – 233 REMARKS TO G lAZEK ’ S RESULTS ON n-ARY GROUPS Wies law

- Mathematics
- 2007

It is a survey of the results obtained by K. G lazek’s and his coworkers. We restrict our attention to the problems of axiomatizations of n-ary groups, classes of n-ary groups, properties of skew…

A Generalization of n-Ary Algebraic Systems

- Mathematics
- 2009

One of the aims of this article is to extract, whenever possible, the common elements of several seemingly different types of algebraic hypersystems. In achieving this, one discovers general…

Neutral Elements, Fundamental Relations and n-Ary hypersemigroups

- MathematicsInt. J. Algebra Comput.
- 2009

The main tools in the theory of n-ary hyperstructures are the fundamental relations. The fundamental relation on an n-ary hypersemigroup is defined as the smallest equivalence relation so that the…

On (n,m)-semigroups

- Mathematics
- 2012

We generalize Green’s lemma and Green’s theorem for usual binary semigroups to (n,m)-semigroups, define and describe the regularity for an element of an (n,m)-semigroup, give some criteria for an…

A generalization of Hyers-Ulam stability on $m$-semigroups

- Mathematics
- 2015

In this paper we investigate the generalized Hyers-Ulam stability of mappings of m semigroups m 2N; m 2 into Banach spaces. For mD 3 the results can be found in Amyari and Moslehian [Approximate…

Semigroups derived from (Γ,n)-semihypergroups and T-functor

- Mathematics
- 2015

The main purpose of this paper is to introduce the concept of (Γ, n)semihypergroups as a generalization of hypergroups, as a generalization of nary hypergroups and obtain an exact covariant functor…

## References

SHOWING 1-10 OF 35 REFERENCES

On Rusakov's n-ary rs-Groups

- Mathematics
- 2001

AbstractProperties of n-ary groups connected with the affine geometry are considered. Some conditions for an n-ary rs-group to be derived from a binary group are given. Necessary and sufficient…

ON DUDEK'S PROBLEMS ON THE SKEW OPERATION IN POLYADIC GROUPS

- Mathematics
- 2003

In his invited lecture presented during the First Conference of the Mathematical Society of the Republic of Moldova(, August 2001) W. A. Dudek posed several open problems on the role and properties…

Independent families in complete Boolean algebras

- Mathematics
- 1982

We present a proof (without any set-theoretical assumptions) that every infinite complete Boolean algebra includes a free subalgebra of the same cardinality. It follows that the set of all…

ON A GENERALIZATION OF A THEOREM OF TIMM

- Mathematics
- 1985

1. Preliminaries Consider a (k+1)-group (G,g) (for the notion of a (k+1)-group, which i s also oalled a polyadio group, of* e .g . [ 2 ] , [ 1 0 1>[ 1 ] » [3] ) * 11 * 8 * k k a n d 8 a r e positive…

D-Dimensional hypercubes and the Euler and MacNeish conjectures

- Mathematics, Computer Science
- 1995

We give a construction for large sets of mutually orthogonal hypercubes of dimensionald given sets of mutually orthogonal latin squares and hypercubes of lower dimension. We also considerd>-2…

On special classes of n‐algebras

- Mathematics
- 1996

We define n‐algebras as linear spaces on which the internal composition law involves n elements: m:V⊗n■V. It is known that such algebraic structures are interesting for their applications to problems…

Enveloping Algebras of Filippov Algebras

- Mathematics
- 2003

Abstract The question of existence of n-ary systems playing the role of enveloping algebras for Filippov (n-Lie) algebras is investigated. We consider the ternary algebras whose reduced binary…

Universal Algebra

- Mathematics
- 1982

I was brought to Universal Algebra against my will, as it were by Hermann Grassmann, and the main point of this paper is to describe a piece of Grass-mann's work and to ask those who know the subject…

Automorphisms of Polyadic Automata

- Computer Science, MathematicsJACM
- 1969

The results of an investigation of relationships concerning the group of automorphisms, the polyadic group of defined polyadic automata and the structure of thepolyadic automation and the ordinary automata associated and with thePolyadic automaton are presented.

ON RETRACTS OF POLYADIC GROUPS

- Materials Science
- 1984

1. I n t r o d u c t i o n I n [ 2 ] a s y s t e m a t i c s tudy of some c o n s t r u c t i o n s of p o l y ad ic g r o u p s , namely: ( k+1) a ry r e t r a c t s of (n+1) -g roups and weakly de…