An investigation on Boolean prime filters in BL-algebras
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| 001 | 605469784 | ||
| 003 | CHVBK | ||
| 005 | 20210128100324.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20151001xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00500-015-1711-8 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00500-015-1711-8 | ||
| 245 | 0 | 3 | |a An investigation on Boolean prime filters in BL-algebras |h [Elektronische Daten] |c [Saeed Rasouli, Bijan Davvaz] |
| 520 | 3 | |a In this paper, by considering the notion of basic logic (BL)-algebras, we study some properties of Boolean prime filters. In fact, we concern a relationship between the important theorems in commutative algebra and BL-algebra theory. We prove the BL-version of the going up and lying over theorems in BL-algebras theory with respect to Boolean prime filters. Also, we study the notion of localization in BL-algebras theory. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a BL-algebra |2 nationallicence | |
| 690 | 7 | |a Filter |2 nationallicence | |
| 690 | 7 | |a Prime filter |2 nationallicence | |
| 690 | 7 | |a Residuated lattice |2 nationallicence | |
| 700 | 1 | |a Rasouli |D Saeed |u Department of Mathematics, Persian Gulf University, 75169, Bushehr, Iran |4 aut | |
| 700 | 1 | |a Davvaz |D Bijan |u Department of Mathematics, Yazd University, Yazd, Iran |4 aut | |
| 773 | 0 | |t Soft Computing |d Springer Berlin Heidelberg |g 19/10(2015-10-01), 2743-2750 |x 1432-7643 |q 19:10<2743 |1 2015 |2 19 |o 500 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00500-015-1711-8 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00500-015-1711-8 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Rasouli |D Saeed |u Department of Mathematics, Persian Gulf University, 75169, Bushehr, Iran |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Davvaz |D Bijan |u Department of Mathematics, Yazd University, Yazd, Iran |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Soft Computing |d Springer Berlin Heidelberg |g 19/10(2015-10-01), 2743-2750 |x 1432-7643 |q 19:10<2743 |1 2015 |2 19 |o 500 | ||