11 citations · 32 across the 32 of their papers we have counts for
6 papers · 1 filter
On embeddings of rings into their canonical modules
Tran Nguyen An, Shinya Kumashiro, Mouma Samanta
We study embeddings of Cohen--Macaulay local rings into their canonical modules such that the quotient of the cokernel by a regular sequence has the residue field as a direct summa…
Prescribed Initial Behavior of
Reza Abdolmaleki, Shinya Kumashiro
It is well known that for every graded ideal , the numbers of minimal generators of its powers of are eventually increasing. However, its initial behavior can be su…
The Non-Pure Dual Exchange Property in Low Dimensions
Reza Abdolmaleki, Shinya Kumashiro
We investigate monomial ideals satisfying the non-pure dual exchange property, a notion introduced in connection with componentwise polymatroidal ideals. Our contributions are twof…
Quasi-factorially closed subalgebras of Laurent polynomial rings
Shinya Kumashiro, Takanori Nagamine
Let be a domain and the Laurent polynomial ring over . In this paper we study pre-factorially closed (pfc) and quasi-factorially closed (…
On Partial Trace Ideals
Souvik Dey, Shinya Kumashiro
We investigate the notion of partial trace ideals, recently introduced by Maitra. We first establish several properties of partial trace ideals and give affirmative answers to ques…
Modules of minimal multiplicity over one-dimensional Cohen-Macaulay local rings
Ela Celikbas, Olgur Celikbas, Naoki Endo +1
We study finitely generated modules of minimal multiplicity, a notion introduced by Puthenpurakal that extends the classical concept of minimal multiplicity from rings to modules.…