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We obtain the exact values for depth and projective dimension and lower bounds for Stanley depth of the quotient rings of the edge ideals associated with all cubic circulant graphs.
Comment: 20 pages, 7 figures
Comment: 20 pages, 7 figures
Externí odkaz:
http://arxiv.org/abs/2307.12669
Some algebraic invariants of the residue class rings of the edge ideals of perfect semiregular trees
Let S be a polynomial algebra over a field. If I is the edge ideal of a perfect semiregular tree, then we give precise formulas for values of depth, Stanley depth, projective dimension, regularity and Krull dimension of S/I.
Comment: 17 pages, 4
Comment: 17 pages, 4
Externí odkaz:
http://arxiv.org/abs/2110.15031
Publikováno v:
Communications in Algebra; 2023, Vol. 51 Issue 6, p2364-2383, 20p