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Residuated Lattices with Noetherian Spectrum.
- Source :
-
Mathematics (2227-7390) . Jun2022, Vol. 10 Issue 11, p1831-1831. 13p. - Publication Year :
- 2022
-
Abstract
- In this paper, we characterize residuated lattices for which the topological space of prime ideals is a Noetherian space. The notion of i-Noetherian residuated lattice is introduced and related properties are investigated. We proved that a residuated lattice is i-Noetherian iff every ideal is principal. Moreover, we show that a residuated lattice has the spectrum of a Noetherian space iff it is i-Noetherian. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 10
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 157369749
- Full Text :
- https://doi.org/10.3390/math10111831