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1Academic Journal
المؤلفون: Marek Golasinski
المصدر: Pracì Mìžnarodnogo Geometričnogo Centru, Vol 17, Iss 1, Pp 65-87 (2024)
مصطلحات موضوعية: algebraic set, c∞-topology, coordinate ring, homotopy group, polynomial (entire rational) map, sphere, suspension, zariski topology, Mathematics, QA1-939
وصف الملف: electronic resource
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2Academic Journal
المؤلفون: Rogalski, D, Sierra, SJ, Stafford, JT
المصدر: Proceedings of the American Mathematical Society. 142(9)
مصطلحات موضوعية: Noetherian ring, twisted homogeneous coordinate ring, Sklyanin algebra, supernoetherian ring, Pure Mathematics
URL الوصول: https://escholarship.org/uc/item/79b328kc
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3Academic Journal
المؤلفون: KANG, SEOK-JIN, KASHIWARA, MASAKI, KIM, MYUNGHO, OH, SE-JIN
المصدر: Journal of the American Mathematical Society, 2018 Apr 01. 31(2), 349-426.
URL الوصول: https://www.jstor.org/stable/90018726
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4Academic Journal
المؤلفون: Alex Chirvasitu, Ryo Kanda, S. Paul Smith
المصدر: Forum of Mathematics, Sigma, Vol 9 (2021)
مصطلحات موضوعية: 14A22, 16S38, 16W50, 14H52, 14F06, Elliptic algebra, Sklyanin algebra, twisted homogeneous coordinate ring, characteristic variety, Mathematics, QA1-939
وصف الملف: electronic resource
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5Academic Journal
المؤلفون: Thien, Phan Van, Sinh, Tran Nam, Quang, Nguyen Thanh
المصدر: Hue University Journal of Science: Natural Science; Vol. 130 No. 1C (2021): Hue University Journal of Science: Natural Science; 15-22 ; Tạp chí Khoa học Đại học Huế: Khoa học Tự Nhiên; Tập 130 Số 1C (2021): Tạp chí Khoa học Đại học Huế: Khoa học Tự nhiên; 15-22 ; 2615-9678 ; 1859-1388 ; 10.26459/hueunijns.v130i1C
مصطلحات موضوعية: Tập điểm béo, Chỉ số chính quy, Hàm Hilbert, Vành tọa độ, fat points, regularity index, Hilbert function, coordinate ring, điểm béo, hàm Hilbert, vành tọa độ
وصف الملف: application/pdf
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6Academic Journal
المؤلفون: Soprounov, Ivan
المصدر: Transactions of the American Mathematical Society, 2005 May 01. 357(5), 1963-1975.
URL الوصول: https://www.jstor.org/stable/3845143
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7
المؤلفون: Le Ngoc Long, Martin Kreuzer, Tran N. K. Linh
المصدر: Acta Mathematica Vietnamica. 46:441-455
مصطلحات موضوعية: Combinatorics, Physics, Kähler differential, Conjecture, General Mathematics, Scheme (mathematics), Zero (complex analysis), Homogeneous coordinate ring, Field (mathematics), Multiplicity (mathematics), Algebraic number
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8
المؤلفون: ONI, BLESSING BISOLA
المساهمون: Oni, BLESSING BISOLA, Fantechi, Barbara
مصطلحات موضوعية: Studies have shown that certain singular a ne curves O(X) (e.g nodal cubic, lemniscate) admit a quantum homogeneous space structure { a right coideal subalgebra of a Hopf algebra H such that H is faithfully at as a O(X)-module. The starting point of our work is the observation in some examples that unlike their classical analogues, these quantum symmetries given by quantum groups H do not extend to the eld of rational functions of these singular curves. In the case of k[t2, t3] we addressed this limitation by rst observing that if the Hopf dual of the Hopf algebra H containing k[t2, t3] as a quantum homogeneous space is pointed then the quantum symmetries do extend to its rational function eld k(t). Taking this idea futher, we study the construction of Hopf algebras H acting on a given algebra K in terms of algebra morphisms : K ! Mn(K). This approach is particularly suited for controlling whether these actions restrict to a given subalgebra B of K, whether H is pointed, and whether these actions are compatible with a given-structure on K. In particular, we applied this theory to the eld K = k(t) of rational functions containing the coordinate ring B = k[t2, t3] of the cusp. We also described an explicit example of this theory and showed how it equips the cusp with a quantum homogeneous space structure, which, unlike the previously known one, extends from regular to rational functions, Settore MAT/03 - Geometria
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9
المؤلفون: Ana Garcia Elsener, Dusko Bogdanic, Karin Baur
المصدر: Nagoya Mathematical Journal. 240:322-354
مصطلحات موضوعية: Mathematics::Commutative Algebra, Degree (graph theory), Rank (linear algebra), General Mathematics, Categorification, Mathematics::Rings and Algebras, 010102 general mathematics, Structure (category theory), Homogeneous coordinate ring, 01 natural sciences, Cluster algebra, Combinatorics, Mathematics::Category Theory, Grassmannian, 0103 physical sciences, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), 010307 mathematical physics, Representation Theory (math.RT), 0101 mathematics, Mathematics::Representation Theory, Indecomposable module, Mathematics - Representation Theory, Mathematics
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10
المؤلفون: Masoumeh Javanbakht, Leila Sharifan
المصدر: Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. 60:783-795
مصطلحات موضوعية: Condensed Matter::Quantum Gases, Physics, Sequence, Monomial, Algebra and Number Theory, Infinite field, Mathematics::Commutative Algebra, High Energy Physics::Lattice, Homogeneous coordinate ring, Algebraic geometry, Invariant theory, Combinatorics, symbols.namesake, symbols, High Energy Physics::Experiment, Geometry and Topology, Ideal (ring theory), Hilbert–Poincaré series
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11
المؤلفون: Mandira Mondal, Vijaylaxmi Trivedi
المصدر: Journal of Algebraic Combinatorics. 51:317-351
مصطلحات موضوعية: Algebra and Number Theory, Mathematics::Commutative Algebra, 010102 general mathematics, Multiplicative function, Regular polygon, Homogeneous coordinate ring, Polytope, Probability density function, 0102 computer and information sciences, 01 natural sciences, Combinatorics, 010201 computation theory & mathematics, Discrete Mathematics and Combinatorics, 0101 mathematics, Mathematics
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12
المؤلفون: Karin Baur, Gordana Todorov, Khrystyna Serhiyenko, Eleonore Faber, Sira Gratz
المصدر: Baur, K, Faber, E, Gratz, S, Serhiyenko, K & Todorov, G 2018, ' Friezes satisfying higher SL$_k$-determinants ', Alg. Number Th. https://doi.org/10.2140/ant.2021.15.29
Gratz, S H, Baur, K, Faber, E, Serhiyenko, K & Todorov, G 2021, ' Friezes satisfying higher SLk-determinants. ', Algebra and Number Theory, vol. 15, no. 1 .مصطلحات موضوعية: Structure (category theory), Homogeneous coordinate ring, Type (model theory), Plücker coordinates, 01 natural sciences, Cluster algebra, 05E10, 13F60, 16G20, 18D99, 14M15, Combinatorics, Grassmannian, Mathematics::Category Theory, 0103 physical sciences, FOS: Mathematics, Mathematics - Combinatorics, 0101 mathematics, math.CO, Computer Science::Data Structures and Algorithms, math.RA, Mathematics, Algebra and Number Theory, Mathematics::Combinatorics, 010102 general mathematics, Mathematics - Rings and Algebras, Plücker embedding, 16. Peace & justice, Rings and Algebras (math.RA), Bijection, Combinatorics (math.CO), 010307 mathematical physics
وصف الملف: application/pdf
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13
المؤلفون: Tomasz Mańdziuk
مصطلحات موضوعية: Numerical Analysis, Hilbert series and Hilbert polynomial, Pure mathematics, Algebra and Number Theory, Mathematics::Commutative Algebra, Polynomial ring, Closure (topology), Homogeneous coordinate ring, symbols.namesake, Mathematics - Algebraic Geometry, 14C05 (Primary) 14N07 (Secondary), Hilbert scheme, FOS: Mathematics, symbols, Discrete Mathematics and Combinatorics, Projective space, Geometry and Topology, Projective plane, Ideal (ring theory), Algebraic Geometry (math.AG), Mathematics
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14
المؤلفون: Linhui Shen, Daping Weng
المصدر: Symmetry, Integrability and Geometry: Methods and Applications.
مصطلحات موضوعية: FOS: Physical sciences, Duality (optimization), Homogeneous coordinate ring, 01 natural sciences, Cluster algebra, Combinatorics, Mathematics - Algebraic Geometry, Grassmannian, 0103 physical sciences, FOS: Mathematics, Mathematics - Combinatorics, Representation Theory (math.RT), 0101 mathematics, Mathematics::Representation Theory, Algebraic Geometry (math.AG), Mathematical Physics, Physics, Conjecture, 010102 general mathematics, Mathematical Physics (math-ph), Function (mathematics), Plücker embedding, Combinatorics (math.CO), 010307 mathematical physics, Geometry and Topology, Mirror symmetry, Mathematics - Representation Theory, Analysis
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15
المؤلفون: Naoki Fujita
المصدر: Journal of Algebra. 515:408-447
مصطلحات موضوعية: Pure mathematics, Mathematics::Combinatorics, Algebra and Number Theory, Mathematics::Commutative Algebra, 010102 general mathematics, Toric variety, Homogeneous coordinate ring, Polytope, 01 natural sciences, Representation theory, String (physics), Mathematics::Quantum Algebra, 0103 physical sciences, Convex body, 010307 mathematical physics, 0101 mathematics, Mathematics::Representation Theory, Projective variety, Mathematics, Valuation (algebra)
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16
المؤلفون: Mesut Şahin
المصدر: Finite Fields and Their Applications. 52:243-260
مصطلحات موضوعية: FOS: Computer and information sciences, Monomial, Pure mathematics, Computer Science - Information Theory, Complete intersection, Homogeneous coordinate ring, 0102 computer and information sciences, Commutative Algebra (math.AC), 01 natural sciences, Theoretical Computer Science, Mathematics - Algebraic Geometry, Mathematics::Algebraic Geometry, FOS: Mathematics, Mathematics - Combinatorics, 0101 mathematics, Algebraic Geometry (math.AG), Mathematics, Algebra and Number Theory, Mathematics::Commutative Algebra, Information Theory (cs.IT), Applied Mathematics, 010102 general mathematics, Degenerate energy levels, General Engineering, Toric variety, Torus, Mathematics - Commutative Algebra, Finite field, Primary 14M25, 14G50, Secondary 52B20, 010201 computation theory & mathematics, Combinatorics (math.CO), Locus (mathematics)
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17
المؤلفون: Martin Kreuzer, Le Ngoc Long, Tran N. K. Linh
المصدر: Journal of Algebra. 501:255-284
مصطلحات موضوعية: Kähler differential, Pure mathematics, Algebra and Number Theory, 010102 general mathematics, Homogeneous coordinate ring, Field (mathematics), 01 natural sciences, Conic section, Scheme (mathematics), 0103 physical sciences, Point (geometry), 010307 mathematical physics, 0101 mathematics, Algebra over a field, Mathematics
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18
المؤلفون: Louiza Fouli, Paolo Mantero, Yu Xie
المصدر: Journal of Algebra. 498:211-227
مصطلحات موضوعية: Discrete mathematics, Algebra and Number Theory, Quadric, Conjecture, 010102 general mathematics, Zero (complex analysis), Homogeneous coordinate ring, 01 natural sciences, 010101 applied mathematics, Combinatorics, Homogeneous, Ideal (ring theory), 0101 mathematics, Algebraically closed field, Finite set, Mathematics
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19
المؤلفون: Ignacio García-Marco, Isabel Bermejo, Eva García-Llorente
المصدر: Journal of Symbolic Computation. 81:1-19
مصطلحات موضوعية: Monomial, Homogeneous coordinate ring, 010103 numerical & computational mathematics, Type (model theory), Commutative Algebra (math.AC), 01 natural sciences, Combinatorics, Mathematics - Algebraic Geometry, symbols.namesake, Gröbner basis, FOS: Mathematics, 0101 mathematics, Algebraic Geometry (math.AG), Mathematics, Hilbert–Poincaré series, Discrete mathematics, Hilbert series and Hilbert polynomial, Algebra and Number Theory, Mathematics::Commutative Algebra, 010102 general mathematics, Mathematics - Commutative Algebra, Invariant theory, Computational Mathematics, Arithmetic progression, symbols, 05E40, 14M25, 20M25
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20
المؤلفون: Alexandru Chirvasitu, S. Paul Smith
المصدر: Advances in Mathematics. 309:558-623
مصطلحات موضوعية: Discrete mathematics, Ring (mathematics), General Mathematics, 010102 general mathematics, Homogeneous coordinate ring, Algebraic geometry, Automorphism, 01 natural sciences, Combinatorics, Elliptic curve, Grassmannian, 0103 physical sciences, 010307 mathematical physics, 0101 mathematics, Algebraically closed field, Incidence (geometry), Mathematics