Order Sorted Quotient Algebra

Journal of Formalized Mathematics
Volume 14, 2002
University of Bialystok
Copyright (c) 2002 Association of Mizar Users

Order Sorted Quotient Algebra

Josef Urban: Charles University, Praha

This work was done during author's research visit in Bialystok, funded by the CALCULEMUS grant HPRN-CT-2000-00102.

MML Identifier: OSALG_4

The terminology and notation used in this paper have been introduced in the following articles [7] [15] [20] [23] [25] [4] [24] [6] [14] [13] [18] [8] [5] [3] [1] [19] [16] [2] [11] [17] [9] [12] [22] [21] [10]

Contents (PDF format)

Preliminaries
Order Sorted Quotient Algebra

Acknowledgments

Thanks to Joseph Goguen, for providing me with his articles on osas, and Andrzej Trybulec, for suggesting and funding this work in Bialystok.

Bibliography

[1] Grzegorz Bancerek. K\"onig's theorem. Journal of Formalized Mathematics, 2, 1990.

[2] Grzegorz Bancerek. Directed sets, nets, ideals, filters, and maps. Journal of Formalized Mathematics, 8, 1996.

[3] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. 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. Partial functions. Journal of Formalized Mathematics, 1, 1989.

[7] Czeslaw Bylinski. Some basic properties of sets. Journal of Formalized Mathematics, 1, 1989.

[8] Adam Grabowski. On the category of posets. Journal of Formalized Mathematics, 8, 1996.

[9] Malgorzata Korolkiewicz. Homomorphisms of many sorted algebras. Journal of Formalized Mathematics, 6, 1994.

[10] Malgorzata Korolkiewicz. Many sorted quotient algebra. Journal of Formalized Mathematics, 6, 1994.

[11] Beata Madras. Product of family of universal algebras. Journal of Formalized Mathematics, 5, 1993.

[12] Beata Madras. Products of many sorted algebras. Journal of Formalized Mathematics, 6, 1994.

[13] Beata Padlewska. Families of sets. Journal of Formalized Mathematics, 1, 1989.

[14] Konrad Raczkowski and Pawel Sadowski. Equivalence relations and classes of abstraction. Journal of Formalized Mathematics, 1, 1989.

[15] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.

[16] Andrzej Trybulec. Many-sorted sets. Journal of Formalized Mathematics, 5, 1993.

[17] Andrzej Trybulec. Many sorted algebras. Journal of Formalized Mathematics, 6, 1994.

[18] Wojciech A. Trybulec. Partially ordered sets. Journal of Formalized Mathematics, 1, 1989.

[19] Wojciech A. Trybulec. Pigeon hole principle. Journal of Formalized Mathematics, 2, 1990.

[20] Zinaida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989.

[21] Josef Urban. Homomorphisms of order sorted algebras. Journal of Formalized Mathematics, 14, 2002.

[22] Josef Urban. Order sorted algebras. Journal of Formalized Mathematics, 14, 2002.

[23] Edmund Woronowicz. Relations and their basic properties. Journal of Formalized Mathematics, 1, 1989.

[24] Edmund Woronowicz. Relations defined on sets. Journal of Formalized Mathematics, 1, 1989.

[25] Edmund Woronowicz and Anna Zalewska. Properties of binary relations. Journal of Formalized Mathematics, 1, 1989.

Received September 19, 2002

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