Affine algebraic sets relative to an algebraic theory
Abstract For an arbitrary algebraic theory T and a prescribed T-algebraL, the geometrical category AfAlgSet(L) of affine algebraic sets over the affine lineL is build up. It is proved to be dually equivalent to the category FcAlg(L) of functional T-algebras overL. The Galois theory ofL is defined an...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Diers, Yves [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
1999 |
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| Schlagwörter: |
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| Anmerkung: |
© Birkhäuser Verlag 1999 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of geometry - Birkhäuser-Verlag, 1971, 65(1999), 1-2 vom: Juli, Seite 54-76 |
|---|---|
| Übergeordnetes Werk: |
volume:65 ; year:1999 ; number:1-2 ; month:07 ; pages:54-76 |
| Links: |
|---|
| DOI / URN: |
10.1007/BF01228678 |
|---|
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OLC206942071X |
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| 520 | |a Abstract For an arbitrary algebraic theory T and a prescribed T-algebraL, the geometrical category AfAlgSet(L) of affine algebraic sets over the affine lineL is build up. It is proved to be dually equivalent to the category FcAlg(L) of functional T-algebras overL. The Galois theory ofL is defined and a Galois duality established. These geometrical categories are characterized up to an equivalence of categories. | ||
| 650 | 4 | |a Algebraic Theory | |
| 650 | 4 | |a Galois Theory | |
| 650 | 4 | |a Geometrical Category | |
| 650 | 4 | |a Galois Duality | |
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10.1007/BF01228678 doi (DE-627)OLC206942071X (DE-He213)BF01228678-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Diers, Yves verfasserin aut Affine algebraic sets relative to an algebraic theory 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag 1999 Abstract For an arbitrary algebraic theory T and a prescribed T-algebraL, the geometrical category AfAlgSet(L) of affine algebraic sets over the affine lineL is build up. It is proved to be dually equivalent to the category FcAlg(L) of functional T-algebras overL. The Galois theory ofL is defined and a Galois duality established. These geometrical categories are characterized up to an equivalence of categories. Algebraic Theory Galois Theory Geometrical Category Galois Duality Enthalten in Journal of geometry Birkhäuser-Verlag, 1971 65(1999), 1-2 vom: Juli, Seite 54-76 (DE-627)129288993 (DE-600)120140-2 (DE-576)014470527 0047-2468 nnns volume:65 year:1999 number:1-2 month:07 pages:54-76 https://doi.org/10.1007/BF01228678 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2005 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4316 GBV_ILN_4318 GBV_ILN_4325 AR 65 1999 1-2 07 54-76 |
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10.1007/BF01228678 doi (DE-627)OLC206942071X (DE-He213)BF01228678-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Diers, Yves verfasserin aut Affine algebraic sets relative to an algebraic theory 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag 1999 Abstract For an arbitrary algebraic theory T and a prescribed T-algebraL, the geometrical category AfAlgSet(L) of affine algebraic sets over the affine lineL is build up. It is proved to be dually equivalent to the category FcAlg(L) of functional T-algebras overL. The Galois theory ofL is defined and a Galois duality established. These geometrical categories are characterized up to an equivalence of categories. Algebraic Theory Galois Theory Geometrical Category Galois Duality Enthalten in Journal of geometry Birkhäuser-Verlag, 1971 65(1999), 1-2 vom: Juli, Seite 54-76 (DE-627)129288993 (DE-600)120140-2 (DE-576)014470527 0047-2468 nnns volume:65 year:1999 number:1-2 month:07 pages:54-76 https://doi.org/10.1007/BF01228678 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2005 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4316 GBV_ILN_4318 GBV_ILN_4325 AR 65 1999 1-2 07 54-76 |
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10.1007/BF01228678 doi (DE-627)OLC206942071X (DE-He213)BF01228678-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Diers, Yves verfasserin aut Affine algebraic sets relative to an algebraic theory 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag 1999 Abstract For an arbitrary algebraic theory T and a prescribed T-algebraL, the geometrical category AfAlgSet(L) of affine algebraic sets over the affine lineL is build up. It is proved to be dually equivalent to the category FcAlg(L) of functional T-algebras overL. The Galois theory ofL is defined and a Galois duality established. These geometrical categories are characterized up to an equivalence of categories. Algebraic Theory Galois Theory Geometrical Category Galois Duality Enthalten in Journal of geometry Birkhäuser-Verlag, 1971 65(1999), 1-2 vom: Juli, Seite 54-76 (DE-627)129288993 (DE-600)120140-2 (DE-576)014470527 0047-2468 nnns volume:65 year:1999 number:1-2 month:07 pages:54-76 https://doi.org/10.1007/BF01228678 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2005 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4316 GBV_ILN_4318 GBV_ILN_4325 AR 65 1999 1-2 07 54-76 |
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10.1007/BF01228678 doi (DE-627)OLC206942071X (DE-He213)BF01228678-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Diers, Yves verfasserin aut Affine algebraic sets relative to an algebraic theory 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag 1999 Abstract For an arbitrary algebraic theory T and a prescribed T-algebraL, the geometrical category AfAlgSet(L) of affine algebraic sets over the affine lineL is build up. It is proved to be dually equivalent to the category FcAlg(L) of functional T-algebras overL. The Galois theory ofL is defined and a Galois duality established. These geometrical categories are characterized up to an equivalence of categories. Algebraic Theory Galois Theory Geometrical Category Galois Duality Enthalten in Journal of geometry Birkhäuser-Verlag, 1971 65(1999), 1-2 vom: Juli, Seite 54-76 (DE-627)129288993 (DE-600)120140-2 (DE-576)014470527 0047-2468 nnns volume:65 year:1999 number:1-2 month:07 pages:54-76 https://doi.org/10.1007/BF01228678 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2005 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4316 GBV_ILN_4318 GBV_ILN_4325 AR 65 1999 1-2 07 54-76 |
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10.1007/BF01228678 doi (DE-627)OLC206942071X (DE-He213)BF01228678-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Diers, Yves verfasserin aut Affine algebraic sets relative to an algebraic theory 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag 1999 Abstract For an arbitrary algebraic theory T and a prescribed T-algebraL, the geometrical category AfAlgSet(L) of affine algebraic sets over the affine lineL is build up. It is proved to be dually equivalent to the category FcAlg(L) of functional T-algebras overL. The Galois theory ofL is defined and a Galois duality established. These geometrical categories are characterized up to an equivalence of categories. Algebraic Theory Galois Theory Geometrical Category Galois Duality Enthalten in Journal of geometry Birkhäuser-Verlag, 1971 65(1999), 1-2 vom: Juli, Seite 54-76 (DE-627)129288993 (DE-600)120140-2 (DE-576)014470527 0047-2468 nnns volume:65 year:1999 number:1-2 month:07 pages:54-76 https://doi.org/10.1007/BF01228678 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2005 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4316 GBV_ILN_4318 GBV_ILN_4325 AR 65 1999 1-2 07 54-76 |
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Abstract For an arbitrary algebraic theory T and a prescribed T-algebraL, the geometrical category AfAlgSet(L) of affine algebraic sets over the affine lineL is build up. It is proved to be dually equivalent to the category FcAlg(L) of functional T-algebras overL. The Galois theory ofL is defined and a Galois duality established. These geometrical categories are characterized up to an equivalence of categories. © Birkhäuser Verlag 1999 |
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Abstract For an arbitrary algebraic theory T and a prescribed T-algebraL, the geometrical category AfAlgSet(L) of affine algebraic sets over the affine lineL is build up. It is proved to be dually equivalent to the category FcAlg(L) of functional T-algebras overL. The Galois theory ofL is defined and a Galois duality established. These geometrical categories are characterized up to an equivalence of categories. © Birkhäuser Verlag 1999 |
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Abstract For an arbitrary algebraic theory T and a prescribed T-algebraL, the geometrical category AfAlgSet(L) of affine algebraic sets over the affine lineL is build up. It is proved to be dually equivalent to the category FcAlg(L) of functional T-algebras overL. The Galois theory ofL is defined and a Galois duality established. These geometrical categories are characterized up to an equivalence of categories. © Birkhäuser Verlag 1999 |
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Affine algebraic sets relative to an algebraic theory |
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