Uniform Symbolic Topologies in Normal Toric Rings
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DOI: 10.1016/j.jalgebra.2018.05.038
Abstract: Abstract Given a normal toric algebra R , we compute a uniform integer D = D ( R ) > 0 such that the symbolic power P ( D N ) ⊆ P N for… read more here.
Keywords: toric rings; symbolic topologies; normal toric; topologies normal ... See more keywords
Three families of toric rings arising from posets or graphs with small class groups
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DOI: 10.1016/j.jpaa.2022.107079
Abstract: The main objects of the present paper are (i) Hibi rings (toric rings arising from order polytopes of posets), (ii) stable set rings (toric rings arising from stable set polytopes of perfect graphs), and (iii)… read more here.
Keywords: small class; toric rings; class groups; posets graphs ... See more keywords
Algebraic properties of toric rings of graphs
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DOI: 10.1080/00927872.2018.1439047
Abstract: Abstract Let be a simple graph. We investigate the Cohen–Macaulayness and algebraic invariants, such as the Castelnuovo-Mumford regularity and the projective dimension, of the toric ring k[G] via those of toric rings associated to induced… read more here.
Keywords: toric rings; algebraic properties; rings graphs; properties toric ... See more keywords