# Ternary semigroups of morphisms of objects in categories

Antoni Chronowski; Miroslav Novotný

Archivum Mathematicum (1995)

- Volume: 031, Issue: 2, page 147-153
- ISSN: 0044-8753

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topChronowski, Antoni, and Novotný, Miroslav. "Ternary semigroups of morphisms of objects in categories." Archivum Mathematicum 031.2 (1995): 147-153. <http://eudml.org/doc/247681>.

@article{Chronowski1995,

abstract = {In this paper the notion of a ternary semigroup of morphisms of objects in a category is introduced. The connection between an isomorphism of categories and an isomorphism of ternary semigroups of morphisms of suitable objects in these categories is considered. Finally, the results obtained for general categories are applied to the categories $\mathbf \{ REL\}n+1$ and $\mathbf \{ALG\}n$ which were studied in [5].},

author = {Chronowski, Antoni, Novotný, Miroslav},

journal = {Archivum Mathematicum},

keywords = {ternary semigroup; mono-n-ary structure; mono-n-ary algebra; category; homomorphism; strong homomorphism; isomorphism; ternary semigroups in categories; isofunctors; full embeddings; categories of -ary relations; strong homomorphisms; category of -ary power algebras},

language = {eng},

number = {2},

pages = {147-153},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {Ternary semigroups of morphisms of objects in categories},

url = {http://eudml.org/doc/247681},

volume = {031},

year = {1995},

}

TY - JOUR

AU - Chronowski, Antoni

AU - Novotný, Miroslav

TI - Ternary semigroups of morphisms of objects in categories

JO - Archivum Mathematicum

PY - 1995

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 031

IS - 2

SP - 147

EP - 153

AB - In this paper the notion of a ternary semigroup of morphisms of objects in a category is introduced. The connection between an isomorphism of categories and an isomorphism of ternary semigroups of morphisms of suitable objects in these categories is considered. Finally, the results obtained for general categories are applied to the categories $\mathbf { REL}n+1$ and $\mathbf {ALG}n$ which were studied in [5].

LA - eng

KW - ternary semigroup; mono-n-ary structure; mono-n-ary algebra; category; homomorphism; strong homomorphism; isomorphism; ternary semigroups in categories; isofunctors; full embeddings; categories of -ary relations; strong homomorphisms; category of -ary power algebras

UR - http://eudml.org/doc/247681

ER -

## References

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- Novotný M., On some correspondences between relational structures and algebras, Czech. Math. J. 43 (118) (1993), 643-647. (1993) MR1258426
- Novotný M., Construction of all homomorphisms of groupoids, presented to Czech. Math. J.
- Pultr A., Trnková V., Combinatorial, algebraic and topological representations of groups, semigroups and categories, Academia, Prague 1980. (1980) MR0563525
- Sioson F. M., Ideal theory in ternary semigroups, Math. Japon. 10 (1965), 63-84. (1965) Zbl0247.20085MR0193043

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