The Largest Spatial Frame Quotient on Prequantale

Chinese Quarterly Journal of Mathematics ›› 2006, Vol. 21 ›› Issue (3): 402-405.

The Largest Spatial Frame Quotient on Prequantale

Department of Mathematics, Nanyang Normal University, Nanyang 473061, China; College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China

Received:2006-01-10 Online:2006-09-30 Published:2023-11-29
About author:WANG Xue-qiang(1965-),male,native of Nanyang,Henan,a lecturer of Nanyang Normal University,M.S.D.,engages in lattices.
Supported by:
Supported by the National Natural Science Foundation of China(10471083)；

Abstract

Abstract: Prequantale quotient is defined in terms of prequantic nucleus, some equivalent propositions of which is obtained. Also, prequantale quotient is proved to coincide with the quotient object in PQuant up to isomorphism. At last, the concrete structure of the largest spatial frame quotient in TPQuant is given.

Key words: prequantale, nucleus, prequantale , , , quotient

CLC Number:

O153.1

WANG Xue-qiang, WANG Shun-qin. The Largest Spatial Frame Quotient on Prequantale[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(3): 402-405.

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The Largest Spatial Frame Quotient on Prequantale

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