Affine completeness of de Morgan algebras

Vladimir Kuchmei

Mathematica Slovaca (2002)

  • Volume: 52, Issue: 3, page 255-270
  • ISSN: 0139-9918

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Kuchmei, Vladimir. "Affine completeness of de Morgan algebras." Mathematica Slovaca 52.3 (2002): 255-270. <http://eudml.org/doc/34554>.

@article{Kuchmei2002,
author = {Kuchmei, Vladimir},
journal = {Mathematica Slovaca},
keywords = {De Morgan algebra; compatible function; (local) polynomial function; (locally) affine complete algebra},
language = {eng},
number = {3},
pages = {255-270},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Affine completeness of de Morgan algebras},
url = {http://eudml.org/doc/34554},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Kuchmei, Vladimir
TI - Affine completeness of de Morgan algebras
JO - Mathematica Slovaca
PY - 2002
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 52
IS - 3
SP - 255
EP - 270
LA - eng
KW - De Morgan algebra; compatible function; (local) polynomial function; (locally) affine complete algebra
UR - http://eudml.org/doc/34554
ER -

References

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  1. DORNINGER D.-EIGENTHALER G., On compatible and order-preserving functions on lattices, In: Universal Algebra and Applications, Semester 1978. Banach Center Publ 9, Polish Acad. Sci., Warsaw, 1982, pp. 97-104. (1978) MR0738806
  2. GRÄTZER G., Universal Algebra, Van Nostrand, Toronto-London-Melbourne, 1968. (1968) MR0248066
  3. HAVIAR M., Affine complete algebras abstracting Kleene and Stone algebras, Acta Math. Univ. Comenianae 2 (1993), 179-190. (1993) Zbl0821.06010MR1270505
  4. HAVIAR M.-KAARLI K.-PLOŠČICA M., Affine completeness of Kleene algebras, Algebra Universalis 37 (1997), 477-490. (1997) Zbl0907.06010MR1465304
  5. HAVIAR M.-PLOŠČICA M., Affine complete Stone algebras, Algebra Universalis 34 (1995), 355-365. (1995) Zbl0833.06013MR1350848
  6. HAVIAR M.-PLOŠČICA M., Affine complete Kleene algebras II, Acta Univ. Mathaei Belii Nat. Sci. Ser. Ser. Mat. 5 (1997), 51-61. (1997) MR1618873
  7. KAARLI K.-MÁRKI L.-SCHMIDT E. T., Affine complete semilattices, Monatsh Math. 99 (1985), 297-309. (1985) Zbl0564.06005MR0799677
  8. KAARLI K.-PIXLEY A. F., Polynomial Completeness in Algebraic Systems, Chapman & Hall/CRC, Boca Raton, FL, 2001. Zbl0964.08001MR1888967
  9. PLOŠČICA M., Affine complete distributive lattices, Order 11 (1994), 385-390. (1994) Zbl0816.06010MR1321755

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