# Some properties of epimorphisms of Hilbert algebras

Open Mathematics (2010)

- Volume: 8, Issue: 1, page 41-52
- ISSN: 2391-5455

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topDumitru Buşneag, and Mircea Ghiţă. "Some properties of epimorphisms of Hilbert algebras." Open Mathematics 8.1 (2010): 41-52. <http://eudml.org/doc/269087>.

@article{DumitruBuşneag2010,

abstract = {This paper represents a start in the study of epimorphisms in some categories of Hilbert algebras. Even if we give a complete characterization for such epimorphisms only for implication algebras, the following results will make possible the construction of some examples of epimorphisms which are not surjective functions. Also, we will show that the study of epimorphisms of Hilbert algebras is equivalent with the study of epimorphisms of Hertz algebras.},

author = {Dumitru Buşneag, Mircea Ghiţă},

journal = {Open Mathematics},

keywords = {Hilbert algebras; Hertz algebras; Implication algebras; Tarski algebras; Boole algebras; Deductive systems; Epimorphisms; implication algebras; Boolean algebras; deductive systems; epimorphisms; categories of algebraic logic},

language = {eng},

number = {1},

pages = {41-52},

title = {Some properties of epimorphisms of Hilbert algebras},

url = {http://eudml.org/doc/269087},

volume = {8},

year = {2010},

}

TY - JOUR

AU - Dumitru Buşneag

AU - Mircea Ghiţă

TI - Some properties of epimorphisms of Hilbert algebras

JO - Open Mathematics

PY - 2010

VL - 8

IS - 1

SP - 41

EP - 52

AB - This paper represents a start in the study of epimorphisms in some categories of Hilbert algebras. Even if we give a complete characterization for such epimorphisms only for implication algebras, the following results will make possible the construction of some examples of epimorphisms which are not surjective functions. Also, we will show that the study of epimorphisms of Hilbert algebras is equivalent with the study of epimorphisms of Hertz algebras.

LA - eng

KW - Hilbert algebras; Hertz algebras; Implication algebras; Tarski algebras; Boole algebras; Deductive systems; Epimorphisms; implication algebras; Boolean algebras; deductive systems; epimorphisms; categories of algebraic logic

UR - http://eudml.org/doc/269087

ER -

## References

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