Zipped coherent quantales

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

Georgescu G.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: JOURNAL OF ALGEBRAIC HYPERSTRUCTURES AND LOGICAL ALGEBRAS Year:2023 | Volume:4 | Issue:1 Page(s): 61-79

Download Full-Text

View:

Download:

Cites:

Information Journal Paper

Title

Zipped coherent quantales

Author(s)

Georgescu G. | Issue Writer Certificate

Keywords

Coherent quantale

reticulation of a quantale

weak annihilator

zipped quantale

weakly zipped quantales

Abstract

The aim of this paper is to define an abstract quantale framework for extending some properties of the zip rings (studied by Faith, Zelmanowitz, etc.) and the weak zip rings (defined by Ouyang). By taking as prototype the quantale of ideals of a zip ring (resp. a weak zip ring) we introduce the notion of zipped quantale (resp. weakly zipped quantale). The zipped quantales also generalize the zipped frames, defined by Dube and Blose in a recent paper. We define the zip (bounded distributive) lattices and we prove that a coherent quantale A is weakly zipped iff the reticulation L(A) of A is a zip lattice. From this result we obtain the following corollary: the coherent quantale A is weakly zipped iff the frame R(A) of the radical elements of A is zipped. Such theorems allow us to extend to quantale framework a lot of results obtained by Dube and Blose for the zipped frames and for the weak zip rings.

Multimedia

No record.

Cites

No record.

References

No record.

Cite

Related Journal Papers

No record.

Related Seminar Papers

No record.

Related Plans