Journal of Formalized Mathematics
Volume 5, 1993
University of Bialystok
Copyright (c) 1993 Association of Mizar Users

Product of Family of Universal Algebras


Beata Madras
Warsaw University, Bialystok

Summary.

The product of two algebras, trivial algebra determined by an empty set and product of a family of algebras are defined. Some basic properties are shown.

MML Identifier: PRALG_1

The terminology and notation used in this paper have been introduced in the following articles [17] [11] [21] [1] [2] [20] [22] [8] [5] [9] [15] [18] [16] [10] [12] [13] [3] [4] [6] [14] [7] [19]

Contents (PDF format)

  1. Product of Two Algebras
  2. Trivial Algebra
  3. Product of Universal Algebras

Bibliography

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[4] Grzegorz Bancerek. K\"onig's theorem. Journal of Formalized Mathematics, 2, 1990.
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[6] Grzegorz Bancerek and Piotr Rudnicki. On defining functions on trees. Journal of Formalized Mathematics, 5, 1993.
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[13] Czeslaw Bylinski. The modification of a function by a function and the iteration of the composition of a function. Journal of Formalized Mathematics, 2, 1990.
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[15] Andrzej Trybulec. Binary operations applied to functions. Journal of Formalized Mathematics, 1, 1989.
[16] Andrzej Trybulec. Domains and their Cartesian products. Journal of Formalized Mathematics, 1, 1989.
[17] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.
[18] Andrzej Trybulec. Tuples, projections and Cartesian products. Journal of Formalized Mathematics, 1, 1989.
[19] Andrzej Trybulec. Many-sorted sets. Journal of Formalized Mathematics, 5, 1993.
[20] Andrzej Trybulec. Subsets of real numbers. Journal of Formalized Mathematics, Addenda, 2003.
[21] Zinaida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989.
[22] Edmund Woronowicz. Relations and their basic properties. Journal of Formalized Mathematics, 1, 1989.

Received October 12, 1993

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