An Algebra Of Quotient Relations

Summary: Algebra on quotient (partitioned) relations defined by equivalence relations on n-ary relations. As expressive as the relational algebra, it adds a set-processing capability that increases query flexibility and enables more efficient processing. (summarized by gpt-5-nano on Feb 09 2026)

Paper ID: 2104
Venue: SIGMOD
Year: 1977
Pagerank: 0.00010282631
Overall Rank: 1,586 | 89.13%
DOI: 10.1145/509404.509406

Incoming Non-self Citations Over Time

Authors

1. Antonio L. Furtado (Pontifical Catholic University of Rio de Janeiro)
2. Larry Kerschberg (University of Maryland)

BibTeX Citation

@inproceedings{furtado_sigmod77,
        title = {{AN ALGEBRA OF QUOTIENT RELATIONS}},
        author = {Furtado, Antonio L. and Kerschberg, Larry},
        series = {{SIGMOD} '77},
        booktitle = {Proceedings of the {ACM} {SIGMOD} International Conference on Management of Data},
        publisher = {Association for Computing Machinery},
        doi = {10.1145/509404.509406},
        url = {https://dl.acm.org/doi/10.1145/509404.509406},
        year = {1977}
}

Incoming Citations (Sorted by Pagerank)

Showing 6 of 6 citing papers.

Rank	Citing Paper	Year	Venue	Pagerank
475	A Calculus for Complex Objects	1986	PODS	0.00017864549
627	Data Structures for an Integrated Data Base Management and Information Retrieval System	1982	VLDB	0.00015634312
782	FAD, a Powerful and Simple Database Language	1987	VLDB	0.00014080876
799	Logic Programming With Sets	1987	PODS	0.00013911498
3,443	LAURA: A Formal Data Model and Her Logical Design Methodology	1983	VLDB	7.4116889e-05
11,952	Information and Data Management at PUC-Rio and UFMG	2018	VLDB	5.093636e-05

Outgoing Citations (Sorted by Pagerank)

Showing 2 of 2 cited papers.

Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.

Rank	Cited Paper	Year	Venue	Pagerank
519	Optimizing the Performance of a Relational Algebra Database Interface	1975	SIGMOD	0.00017144967
3,405	LSL: A Link and Selector Language	1976	SIGMOD	7.440139e-05

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