Canonical Objects in Classes of (n, V)-Groupoids

Celakoska-Jordanova, Vesna

Mathematica Balkanica New Series (2010)

  • Volume: 24, Issue: 3-4, page 341-349
  • ISSN: 0205-3217

Abstract

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AMS Subj. Classification: 03C05, 08B20Free algebras are very important in studying classes of algebras, especially varieties of algebras. Any algebra that belongs to a given variety of algebras can be characterized as a homomorphic image of a free algebra of that variety. Describing free algebras is an important task that can be quite complicated, since there is no general method to resolve this problem. The aim of this work is to investigate classes of groupoids, i.e. algebras with one binary operation, that satisfy certain identities or other conditions, and look for free objects in such classes.

How to cite

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Celakoska-Jordanova, Vesna. "Canonical Objects in Classes of (n, V)-Groupoids." Mathematica Balkanica New Series 24.3-4 (2010): 341-349. <http://eudml.org/doc/11355>.

@article{Celakoska2010,
abstract = {AMS Subj. Classification: 03C05, 08B20Free algebras are very important in studying classes of algebras, especially varieties of algebras. Any algebra that belongs to a given variety of algebras can be characterized as a homomorphic image of a free algebra of that variety. Describing free algebras is an important task that can be quite complicated, since there is no general method to resolve this problem. The aim of this work is to investigate classes of groupoids, i.e. algebras with one binary operation, that satisfy certain identities or other conditions, and look for free objects in such classes.},
author = {Celakoska-Jordanova, Vesna},
journal = {Mathematica Balkanica New Series},
keywords = {Groupoid; Free Groupoid; (n, V)-Groupoid; Power V-Groupoid; Free (n, V)-Groupoid; Injective (n, V)-Groupoid; free groupoid; -groupoid; power -groupoid},
language = {eng},
number = {3-4},
pages = {341-349},
publisher = {Bulgarian Academy of Sciences - National Committee for Mathematics},
title = {Canonical Objects in Classes of (n, V)-Groupoids},
url = {http://eudml.org/doc/11355},
volume = {24},
year = {2010},
}

TY - JOUR
AU - Celakoska-Jordanova, Vesna
TI - Canonical Objects in Classes of (n, V)-Groupoids
JO - Mathematica Balkanica New Series
PY - 2010
PB - Bulgarian Academy of Sciences - National Committee for Mathematics
VL - 24
IS - 3-4
SP - 341
EP - 349
AB - AMS Subj. Classification: 03C05, 08B20Free algebras are very important in studying classes of algebras, especially varieties of algebras. Any algebra that belongs to a given variety of algebras can be characterized as a homomorphic image of a free algebra of that variety. Describing free algebras is an important task that can be quite complicated, since there is no general method to resolve this problem. The aim of this work is to investigate classes of groupoids, i.e. algebras with one binary operation, that satisfy certain identities or other conditions, and look for free objects in such classes.
LA - eng
KW - Groupoid; Free Groupoid; (n, V)-Groupoid; Power V-Groupoid; Free (n, V)-Groupoid; Injective (n, V)-Groupoid; free groupoid; -groupoid; power -groupoid
UR - http://eudml.org/doc/11355
ER -

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