Structure on the set of closure operations of a commutative ring

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dc.creatorVassilev, Janet C.
dc.date2008-09-11
dc.date.accessioned2026-07-07T10:02:17Z
dc.date.available2026-07-07T10:02:17Z
dc.descriptionWe investigate the algebraic structure on the set of closure operations of a ring. We show the set of closure operations is not a monoid under composition for a discrete valuation ring. Even the set of semiprime operations over a DVR is not a monoid; however, it is the union of two monoids, one being the left but not right act of the other. We also determine all semiprime operations over the ring $K[[t^2, t^3]]$.
dc.identifierhttps://arxiv.org/abs/0809.2021
dc.identifierhttp://arxiv.org/abs/0809.2021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168921
dc.subjectCommutative Algebra
dc.titleStructure on the set of closure operations of a commutative ring
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