# Normalization of basic algebras

Discussiones Mathematicae - General Algebra and Applications (2008)

- Volume: 28, Issue: 2, page 237-249
- ISSN: 1509-9415

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topMiroslav Kolařík. "Normalization of basic algebras." Discussiones Mathematicae - General Algebra and Applications 28.2 (2008): 237-249. <http://eudml.org/doc/276847>.

@article{MiroslavKolařík2008,

abstract = {We consider algebras determined by all normal identities of basic algebras. For such algebras, we present a representation based on a q-lattice, i.e., the normalization of a lattice.},

author = {Miroslav Kolařík},

journal = {Discussiones Mathematicae - General Algebra and Applications},

keywords = {basic algebra; section antitone involution; q-lattice; normalization of a variety; -lattice},

language = {eng},

number = {2},

pages = {237-249},

title = {Normalization of basic algebras},

url = {http://eudml.org/doc/276847},

volume = {28},

year = {2008},

}

TY - JOUR

AU - Miroslav Kolařík

TI - Normalization of basic algebras

JO - Discussiones Mathematicae - General Algebra and Applications

PY - 2008

VL - 28

IS - 2

SP - 237

EP - 249

AB - We consider algebras determined by all normal identities of basic algebras. For such algebras, we present a representation based on a q-lattice, i.e., the normalization of a lattice.

LA - eng

KW - basic algebra; section antitone involution; q-lattice; normalization of a variety; -lattice

UR - http://eudml.org/doc/276847

ER -

## References

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- [6] I. Chajda, R. Halaš and J. Kühr, Semilattice Structures, Heldermann Verlag (Lemgo, Germany), 2007, ISBN 978-3-88538-230-0.
- [7] I. Chajda, R. Halaš, J. Kühr and A. Vanžurová, Normalization of MV-algebras, Mathematica Bohemica 130 (2005), 283-300. Zbl1112.06012
- [8] I. Chajda and M. Kolařík, Independence of axiom system of basic algebras, Soft Computing, DOI 10.1007/s00500-008-0291-2. Zbl1178.06007
- [9] I. Mel'nik, Nilpotent shifts of varieties, Math. Notes 14 (1973), 692-696 (in Russian).

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