LIU Jiang, NI Feng, SONG Shihang, DU Mingjun
[1] Liu J, Li H B, and Cao Y H, Simplification and normalization of indexed differentials involving coordinate transformation, Sci. China Ser. A, 2009, 52:22662286. [2] Liu J, Normalization of indexed differentials based on function distance invariants, CASC 2017, Lecture Notes in Computer Science, 2017, 10490:285300. [3] Liu J and Ni F, Distance invariant method for normalization of indexed differentials, Journal of Symbolic Computation, 2020, 104:256275. [4] Liu J, An extension of Göbner basis theory to indexed polynomials without eliminations, Journal of Systems Science and Complexity, 2020, 33(5):17081718. [5] Liu J, Normalization in Riemann tensor polynomial ring, Journal of Systems Science and Complexity, 2018, 31(2):569580. [6] Iima K and Yoshino Y, Göbner bases for the polynomial ring with infinite variables and their applications, Communications in Algebra, 2009, 37:34243437. [7] Hillar C J and Sullivant S, Finite Göbner bases in infinite dimensional polynomial rings and applications, Advances in Mathematics, 2012, 229:125. [8] Krone R, Equivariant Göbner bases of symmetric toric ideals, Proc. ISSAC'16, 2016, 311318. [9] Dung D H, Equivariant Göbner Bases, Master's thesis, Leiden University, 2010. [10] Hillar C J, Kroner R, and Leykin A, Equivariant Göbner bases, 8th Mathematical Society of Japan Seasonal Institute Conference on Current Trends on Göbner Bases:50th Anniversary of Göbner Bases, Advanced Studies in Pure Mathematics, 2018, 77:129154. 
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