Journal of Formalized Mathematics
Volume 6, 1994
University of Bialystok
Copyright (c) 1994 Association of Mizar Users

Subalgebras of Many Sorted Algebra. Lattice of Subalgebras


Ewa Burakowska
Warsaw University, Bialystok

MML Identifier: MSUALG_2

The terminology and notation used in this paper have been introduced in the following articles [10] [6] [13] [14] [4] [5] [2] [9] [7] [15] [3] [8] [1] [11] [12]

Contents (PDF format)

  1. Auxiliary Facts about Many Sorted Sets
  2. Constants of a Many Sorted Algebra
  3. Subalgebras of a Many Sorted Algebra
  4. Many Sorted Subsets of Many Sorted Algebra
  5. Operations on Many Sorted Algebra and its Subalgebras
  6. Lattice of Subalgebras of Many Sorted Algebra

Bibliography

[1] Grzegorz Bancerek. K\"onig's theorem. Journal of Formalized Mathematics, 2, 1990.
[2] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Journal of Formalized Mathematics, 1, 1989.
[3] Czeslaw Bylinski. Binary operations. Journal of Formalized Mathematics, 1, 1989.
[4] Czeslaw Bylinski. Functions and their basic properties. Journal of Formalized Mathematics, 1, 1989.
[5] Czeslaw Bylinski. Functions from a set to a set. Journal of Formalized Mathematics, 1, 1989.
[6] Czeslaw Bylinski. Some basic properties of sets. Journal of Formalized Mathematics, 1, 1989.
[7] Czeslaw Bylinski. Finite sequences and tuples of elements of a non-empty sets. Journal of Formalized Mathematics, 2, 1990.
[8] Andrzej Nedzusiak. $\sigma$-fields and probability. Journal of Formalized Mathematics, 1, 1989.
[9] Beata Padlewska. Families of sets. Journal of Formalized Mathematics, 1, 1989.
[10] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.
[11] Andrzej Trybulec. Many-sorted sets. Journal of Formalized Mathematics, 5, 1993.
[12] Andrzej Trybulec. Many sorted algebras. Journal of Formalized Mathematics, 6, 1994.
[13] Zinaida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989.
[14] Edmund Woronowicz. Relations and their basic properties. Journal of Formalized Mathematics, 1, 1989.
[15] Stanislaw Zukowski. Introduction to lattice theory. Journal of Formalized Mathematics, 1, 1989.

Received April 25, 1994


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