# An algorithm for free algebras

Commentationes Mathematicae Universitatis Carolinae (2010)

- Volume: 51, Issue: 1, page 9-17
- ISSN: 0010-2628

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top## How to cite

topJežek, Jaroslav. "An algorithm for free algebras." Commentationes Mathematicae Universitatis Carolinae 51.1 (2010): 9-17. <http://eudml.org/doc/37738>.

@article{Ježek2010,

abstract = {We present an algorithm for constructing the free algebra over a given finite partial algebra in the variety determined by a finite list of equations. The algorithm succeeds whenever the desired free algebra is finite.},

author = {Ježek, Jaroslav},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {reflection; free algebra; variety; algorithm; reflection; free algebra; partial algebra; variety; algorithm},

language = {eng},

number = {1},

pages = {9-17},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {An algorithm for free algebras},

url = {http://eudml.org/doc/37738},

volume = {51},

year = {2010},

}

TY - JOUR

AU - Ježek, Jaroslav

TI - An algorithm for free algebras

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 2010

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 51

IS - 1

SP - 9

EP - 17

AB - We present an algorithm for constructing the free algebra over a given finite partial algebra in the variety determined by a finite list of equations. The algorithm succeeds whenever the desired free algebra is finite.

LA - eng

KW - reflection; free algebra; variety; algorithm; reflection; free algebra; partial algebra; variety; algorithm

UR - http://eudml.org/doc/37738

ER -

## References

top- Burris S., Sankappanavar H.P., A course in universal algebra, Graduate Texts in Mathematics, Springer, New York, 1981. Zbl0478.08001MR0648287
- Ježek J., Quackenbush R.W., 10.1007/BF01190253, Algebra Universalis 27 (1990), 49–69. MR1025835DOI10.1007/BF01190253
- McKenzie R., 10.2307/2271899, J. Symbolic Logic 40 (1975), 186-196. MR0376323DOI10.2307/2271899
- McKenzie R., McNulty G., Taylor W., Algebras, lattices, varieties. Vol. I., Wadsworth & Brooks/Cole, Monterey, 1987. MR0883644

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