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- W2893783521 abstract "In this chapter, we study ideals generated by 2-minors. Classical classes of ideals of this type are the ideals of 2-minors of an m × n-matrix of indeterminates. The ideals considered here are generated by certain subsets of 2-minors of such a matrix. Any of these subsets is defined by a collection ({mathcal C}) of cells and include 2-sided ladders. Two types of such ideals are considered: those which are generated by the 2-minors corresponding to the cells in ({mathcal C}), called the adjacent minors, and those which are generated by all inner minors of ({mathcal C}). The Grobner basis of such ideals will be studied, and it will be discussed when these ideals are prime ideals. Furthermore, algebraic properties, like normality or Cohen–Macaulayness, of the algebras defined by these ideals will be considered." @default.
- W2893783521 created "2018-10-05" @default.
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- W2893783521 date "2018-01-01" @default.
- W2893783521 modified "2023-09-25" @default.
- W2893783521 title "Ideals Generated by 2-Minors" @default.
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- W2893783521 doi "https://doi.org/10.1007/978-3-319-95349-6_8" @default.
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