Congruence properties of lattices of quasivarieties
Abstract The congruence properties close to being lower boundedness in the sense of McKenzie are treated. In particular, the affirmative answer is obtained to a known question as to whether finite lattices of quasivarieties are lower bounded in the case where quasivarieties are congruence-Noetherian...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Adaricheva, K. V. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1997 |
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| Schlagwörter: |
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| Anmerkung: |
© Plenum Publishing Corporation 1997 |
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| Übergeordnetes Werk: |
Enthalten in: Algebra and logic - Kluwer Academic Publishers-Plenum Publishers, 1968, 36(1997), 6 vom: Nov., Seite 349-358 |
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| Übergeordnetes Werk: |
volume:36 ; year:1997 ; number:6 ; month:11 ; pages:349-358 |
| Links: |
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| DOI / URN: |
10.1007/BF02671552 |
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| 520 | |a Abstract The congruence properties close to being lower boundedness in the sense of McKenzie are treated. In particular, the affirmative answer is obtained to a known question as to whether finite lattices of quasivarieties are lower bounded in the case where quasivarieties are congruence-Noetherian and locally finite. Namely, we state that for every congruence-Noetherian or finitely generated locally finite quasivariety K, the lattice $ L_{q} $(K) possesses the Day-Pudlak-Tuma property. But if a quasivariety is locally finite without the condition of being finitely generated), that lattice satisfies only the Pudlak-Tuma property. | ||
| 650 | 4 | |a Finite Lattice | |
| 650 | 4 | |a Algebraic Lattice | |
| 650 | 4 | |a Free Lattice | |
| 650 | 4 | |a Algebraic Subset | |
| 650 | 4 | |a Arbitrary Lattice | |
| 700 | 1 | |a Gorbunov, V. A. |4 aut | |
| 700 | 1 | |a Dziobiak, W. |4 aut | |
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10.1007/BF02671552 doi (DE-627)OLC2071181131 (DE-He213)BF02671552-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Adaricheva, K. V. verfasserin aut Congruence properties of lattices of quasivarieties 1997 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1997 Abstract The congruence properties close to being lower boundedness in the sense of McKenzie are treated. In particular, the affirmative answer is obtained to a known question as to whether finite lattices of quasivarieties are lower bounded in the case where quasivarieties are congruence-Noetherian and locally finite. Namely, we state that for every congruence-Noetherian or finitely generated locally finite quasivariety K, the lattice $ L_{q} $(K) possesses the Day-Pudlak-Tuma property. But if a quasivariety is locally finite without the condition of being finitely generated), that lattice satisfies only the Pudlak-Tuma property. Finite Lattice Algebraic Lattice Free Lattice Algebraic Subset Arbitrary Lattice Gorbunov, V. A. aut Dziobiak, W. aut Enthalten in Algebra and logic Kluwer Academic Publishers-Plenum Publishers, 1968 36(1997), 6 vom: Nov., Seite 349-358 (DE-627)129934453 (DE-600)390280-8 (DE-576)015492621 0002-5232 nnns volume:36 year:1997 number:6 month:11 pages:349-358 https://doi.org/10.1007/BF02671552 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_24 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2012 GBV_ILN_2021 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4310 GBV_ILN_4314 AR 36 1997 6 11 349-358 |
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10.1007/BF02671552 doi (DE-627)OLC2071181131 (DE-He213)BF02671552-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Adaricheva, K. V. verfasserin aut Congruence properties of lattices of quasivarieties 1997 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1997 Abstract The congruence properties close to being lower boundedness in the sense of McKenzie are treated. In particular, the affirmative answer is obtained to a known question as to whether finite lattices of quasivarieties are lower bounded in the case where quasivarieties are congruence-Noetherian and locally finite. Namely, we state that for every congruence-Noetherian or finitely generated locally finite quasivariety K, the lattice $ L_{q} $(K) possesses the Day-Pudlak-Tuma property. But if a quasivariety is locally finite without the condition of being finitely generated), that lattice satisfies only the Pudlak-Tuma property. Finite Lattice Algebraic Lattice Free Lattice Algebraic Subset Arbitrary Lattice Gorbunov, V. A. aut Dziobiak, W. aut Enthalten in Algebra and logic Kluwer Academic Publishers-Plenum Publishers, 1968 36(1997), 6 vom: Nov., Seite 349-358 (DE-627)129934453 (DE-600)390280-8 (DE-576)015492621 0002-5232 nnns volume:36 year:1997 number:6 month:11 pages:349-358 https://doi.org/10.1007/BF02671552 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_24 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2012 GBV_ILN_2021 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4310 GBV_ILN_4314 AR 36 1997 6 11 349-358 |
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10.1007/BF02671552 doi (DE-627)OLC2071181131 (DE-He213)BF02671552-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Adaricheva, K. V. verfasserin aut Congruence properties of lattices of quasivarieties 1997 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1997 Abstract The congruence properties close to being lower boundedness in the sense of McKenzie are treated. In particular, the affirmative answer is obtained to a known question as to whether finite lattices of quasivarieties are lower bounded in the case where quasivarieties are congruence-Noetherian and locally finite. Namely, we state that for every congruence-Noetherian or finitely generated locally finite quasivariety K, the lattice $ L_{q} $(K) possesses the Day-Pudlak-Tuma property. But if a quasivariety is locally finite without the condition of being finitely generated), that lattice satisfies only the Pudlak-Tuma property. Finite Lattice Algebraic Lattice Free Lattice Algebraic Subset Arbitrary Lattice Gorbunov, V. A. aut Dziobiak, W. aut Enthalten in Algebra and logic Kluwer Academic Publishers-Plenum Publishers, 1968 36(1997), 6 vom: Nov., Seite 349-358 (DE-627)129934453 (DE-600)390280-8 (DE-576)015492621 0002-5232 nnns volume:36 year:1997 number:6 month:11 pages:349-358 https://doi.org/10.1007/BF02671552 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_24 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2012 GBV_ILN_2021 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4310 GBV_ILN_4314 AR 36 1997 6 11 349-358 |
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10.1007/BF02671552 doi (DE-627)OLC2071181131 (DE-He213)BF02671552-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Adaricheva, K. V. verfasserin aut Congruence properties of lattices of quasivarieties 1997 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1997 Abstract The congruence properties close to being lower boundedness in the sense of McKenzie are treated. In particular, the affirmative answer is obtained to a known question as to whether finite lattices of quasivarieties are lower bounded in the case where quasivarieties are congruence-Noetherian and locally finite. Namely, we state that for every congruence-Noetherian or finitely generated locally finite quasivariety K, the lattice $ L_{q} $(K) possesses the Day-Pudlak-Tuma property. But if a quasivariety is locally finite without the condition of being finitely generated), that lattice satisfies only the Pudlak-Tuma property. Finite Lattice Algebraic Lattice Free Lattice Algebraic Subset Arbitrary Lattice Gorbunov, V. A. aut Dziobiak, W. aut Enthalten in Algebra and logic Kluwer Academic Publishers-Plenum Publishers, 1968 36(1997), 6 vom: Nov., Seite 349-358 (DE-627)129934453 (DE-600)390280-8 (DE-576)015492621 0002-5232 nnns volume:36 year:1997 number:6 month:11 pages:349-358 https://doi.org/10.1007/BF02671552 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_24 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2012 GBV_ILN_2021 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4310 GBV_ILN_4314 AR 36 1997 6 11 349-358 |
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10.1007/BF02671552 doi (DE-627)OLC2071181131 (DE-He213)BF02671552-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Adaricheva, K. V. verfasserin aut Congruence properties of lattices of quasivarieties 1997 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1997 Abstract The congruence properties close to being lower boundedness in the sense of McKenzie are treated. In particular, the affirmative answer is obtained to a known question as to whether finite lattices of quasivarieties are lower bounded in the case where quasivarieties are congruence-Noetherian and locally finite. Namely, we state that for every congruence-Noetherian or finitely generated locally finite quasivariety K, the lattice $ L_{q} $(K) possesses the Day-Pudlak-Tuma property. But if a quasivariety is locally finite without the condition of being finitely generated), that lattice satisfies only the Pudlak-Tuma property. Finite Lattice Algebraic Lattice Free Lattice Algebraic Subset Arbitrary Lattice Gorbunov, V. A. aut Dziobiak, W. aut Enthalten in Algebra and logic Kluwer Academic Publishers-Plenum Publishers, 1968 36(1997), 6 vom: Nov., Seite 349-358 (DE-627)129934453 (DE-600)390280-8 (DE-576)015492621 0002-5232 nnns volume:36 year:1997 number:6 month:11 pages:349-358 https://doi.org/10.1007/BF02671552 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_24 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2012 GBV_ILN_2021 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4310 GBV_ILN_4314 AR 36 1997 6 11 349-358 |
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Congruence properties of lattices of quasivarieties |
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Abstract The congruence properties close to being lower boundedness in the sense of McKenzie are treated. In particular, the affirmative answer is obtained to a known question as to whether finite lattices of quasivarieties are lower bounded in the case where quasivarieties are congruence-Noetherian and locally finite. Namely, we state that for every congruence-Noetherian or finitely generated locally finite quasivariety K, the lattice $ L_{q} $(K) possesses the Day-Pudlak-Tuma property. But if a quasivariety is locally finite without the condition of being finitely generated), that lattice satisfies only the Pudlak-Tuma property. © Plenum Publishing Corporation 1997 |
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Abstract The congruence properties close to being lower boundedness in the sense of McKenzie are treated. In particular, the affirmative answer is obtained to a known question as to whether finite lattices of quasivarieties are lower bounded in the case where quasivarieties are congruence-Noetherian and locally finite. Namely, we state that for every congruence-Noetherian or finitely generated locally finite quasivariety K, the lattice $ L_{q} $(K) possesses the Day-Pudlak-Tuma property. But if a quasivariety is locally finite without the condition of being finitely generated), that lattice satisfies only the Pudlak-Tuma property. © Plenum Publishing Corporation 1997 |
| abstract_unstemmed |
Abstract The congruence properties close to being lower boundedness in the sense of McKenzie are treated. In particular, the affirmative answer is obtained to a known question as to whether finite lattices of quasivarieties are lower bounded in the case where quasivarieties are congruence-Noetherian and locally finite. Namely, we state that for every congruence-Noetherian or finitely generated locally finite quasivariety K, the lattice $ L_{q} $(K) possesses the Day-Pudlak-Tuma property. But if a quasivariety is locally finite without the condition of being finitely generated), that lattice satisfies only the Pudlak-Tuma property. © Plenum Publishing Corporation 1997 |
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Congruence properties of lattices of quasivarieties |
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Gorbunov, V. A. Dziobiak, W. |
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