Journal of Formalized Mathematics
Volume 6, 1994
University of Bialystok
Copyright (c) 1994
Association of Mizar Users
Many Sorted Quotient Algebra
-
Malgorzata Korolkiewicz
-
Warsaw University, Bialystok
Summary.
-
This article introduces the construction of a many sorted
quotient algebra. A few preliminary notions such as a many sorted relation,
a many sorted equivalence relation, a many sorted congruence and the set of
all classes of a many sorted relation are also formulated.
The terminology and notation used in this paper have been
introduced in the following articles
[10]
[14]
[15]
[3]
[16]
[5]
[9]
[4]
[2]
[1]
[13]
[11]
[7]
[12]
[6]
[8]
-
Many Sorted Relation
-
Many Sorted Quotient Algebra
Bibliography
- [1]
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- [2]
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- [5]
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Partial functions.
Journal of Formalized Mathematics,
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- [6]
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Homomorphisms of many sorted algebras.
Journal of Formalized Mathematics,
6, 1994.
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Products of many sorted algebras.
Journal of Formalized Mathematics,
6, 1994.
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Journal of Formalized Mathematics,
1, 1989.
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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]
Wojciech A. Trybulec.
Pigeon hole principle.
Journal of Formalized Mathematics,
2, 1990.
- [14]
Zinaida Trybulec.
Properties of subsets.
Journal of Formalized Mathematics,
1, 1989.
- [15]
Edmund Woronowicz.
Relations and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
- [16]
Edmund Woronowicz.
Relations defined on sets.
Journal of Formalized Mathematics,
1, 1989.
Received May 6, 1994
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