3] Florentin Smarandache, Special

algebraic structures, University of Maxico, Craiova, 1973.

They write for mathematicians, physicists, and computer scientists interested in theoretical relationships between graph theory,

algebraic structures, and physics.

The notion of a combinatorial Hopf algebra is a heuristic one, referring to rich

algebraic structures arising naturally on the linear spans of various families of combinatorial objects.

The classification of such

algebraic structures was performed in [43].

Since the structure is non-assosiative, but it has close relations with other

algebraic structures like semigroup and commutative structures.

Cohen); Birational aspects of the geometry of Mg(Gavril Farkas); The universal Whitham hierarchy and the geometry of the moduli space of pointed Riemann surfaces (Samuel Grushevsky and Igor Krichever); Brill-Noether theory (Joe Harris); GL+2(R)-orbit closures via topological splittings (Pascal Hubert, Erwan Lanneau, and Martin Moller); Harmonic mappings and moduli spaces of Riemann surfaces (Jurgen Jost and Shing Tung Yau);

Algebraic structures on the topology of moduli spaces of curves and maps (Y.

Kandasamy (mathematics, Indian Institute of Technology Madras), and her colleagues introduce special set linear algebra and special set fuzzy algebra as new

algebraic structures that are useful in computer engineering, fuzzy models, cryptology, and related applications.

We are applying

algebraic structures to data index sets and in this way finding patterns that were not easily detectable before," he added.

Larson's project for both the Siemens and Intel competition focused on fusion categories -

algebraic structures that have application in various areas of mathematics, theoretical physics and computer science.

Vaintrob, 18, found a new way to connect two kinds of descriptions of mathematical shapes,

algebraic structures and topological spaces.

Those techniques can also be extended to include the exploration of more complex

algebraic structures.

In Appendix necessary definitions of

algebraic structures are presented.