Links to Preprints, In Production, Publications, or Books.
- Traces of semi-invariants (with Ela Celikbas, Jürgen Herzog)
arXiv:2312.00983, 2023
- Nearly Gorenstein local rings defined by maximal minors of a 2×n matrix (with Naoyuki Matsuoka, Taiga Nakashima)
arXiv:2308.04234, 2023
- On generalized Gorenstein local rings (with Shiro Goto)
arXiv:2212.12762, 2022
- Reflexive modules over Arf local rings (with Ryotaro Isobe)
arXiv:2105.07184, 2021
- Characterization of generalized Gorenstein rings (with Shiro Goto, Ryotaro Isobe, Naoki Taniguchi)
arXiv:1704.08901, 2017
- On a generalized Auslander-Reiten conjecture (with Souvik Dey, Parangama Sarkar)
Algebras and Representation Theory, (to appear), 2024
arXiv:2209.12718
- The set of trace ideals of curve singularities (with Toshinori Kobayashi)
Israel Journal of Mathematics, (to appear), 2022
arXiv:2203.04469
- On the sectional genera and Cohen-Macaulay rings (with Hoang Le Truong, Hoang Ngoc Yen)
Journal of Commutative Algebra, 15, No.4, 577-594, 2023
arXiv:2206.04859, DOI
- The Auslander-Reiten conjecture for certain non-Gorenstein Cohen-Macaulay rings
Journal of Pure and Applied Algebra, 227, No.11, 107420, 2023
arXiv:1906.02669, DOI
- When are trace ideals finite?
Mediterranean Journal of Mathematics, 20, Article number: 278, 2023
arXiv:2108.00414, DOI, only-view
- Integrally closed ideals of reduction number three
Algebra Colloquium, 30, No.2, 315-324, 2023
arXiv:2105.07186, DOI
- Graded filtrations and ideals of reduction number 2
Mathematische Nachrichten, 296, No.5, 1983-1996, 2023
arXiv:2105.07185, DOI
- The tiny trace ideals of the canonical modules in Cohen-Macaulay rings of dimension one (with Jürgen Herzog, Dumitru I. Stamate)
Journal of Algebra, 619, 626-642, 2023
arXiv:2106.09404, DOI
- The irreducible multiplicity and Ulrich modules (with Tran Nguyen An)
Rocky Mountain Journal of Mathematics, 52, No.5, 1795-1799, 2022
arXiv:2109.00726, DOI
- The reduction number of canonical ideals
Communications in Algebra, 50, No.11, 4619-4635, 2022
arXiv:2007.00377, DOI
- Upper bound on the colength of the trace of the canonical module in dimension one (with Jürgen Herzog)
Archiv der Mathematik, 119, No.3, 237-246, 2022
arXiv:2201.12508, DOI, only-view
- Reducibility index and sum-reducibility index (with Tran Nguyen An, Tran Duc Dung, Le Thanh Nhan)
Journal of Algebra and its Applications, 21, No.8, 2250152(13 pages), 2022
arXiv:2003.03953, DOI
- Graded Bourbaki ideals of graded modules (with Jürgen Herzog, Dumitru I. Stamate)
Mathematische Zeitschrift, 299, No.3-4, 1303-1330, 2021
arXiv:2002.09596, DOI
- Ideals of reduction number two
Israel Journal of Mathematics 243, No.1, 45-61, 2021
arXiv:1911.08918, DOI, only-view
- Certain monomial ideals whose numbers of generators of powers descend (with Reza Abdolmaleki)
Archiv der Mathematik, 116, No.6, 637-645, 2021
arXiv:2005.09991, DOI, only-view
- Correspondence between trace ideals and birational extensions with application to the analysis of the Gorenstein property of rings (with Shiro Goto, Ryotaro Isobe)
Journal of Pure and Applied Algebra, 224, No.2, 747-767, 2020
arXiv:1802.08409, DOI
- Residually faithful modules and the Cohen-Macaulay type of idealizations (with Shiro Goto, Nguyen Thi Hong Loan)
Journal of the Mathematical Society of Japan, 71, No.4, 1269-1291, 2019
arXiv:1804.07885, DOI
- Sally modules of canonical ideals in dimension one and 2-AGL rings (with Tran Do Minh Chau, Shiro Goto, Naoyuki Matsuoka)
Journal of Algebra, 521, 299-330, 2019
arXiv:1704.00997, DOI
- The structure of chains of Ulrich ideals in Cohen-Macaulay local rings of dimension one (with Shiro Goto, Ryotaro Isobe)
Acta Mathematica Vietnamica, 44, No.1, 65-82, 2019
arXiv:1804.06643, DOI, only-view
- When is R ⋉ I an almost Gorenstein local ring? (with Shiro Goto)
Proceedings of the American Mathematical Society, 146, No.4, 1431-1437, 2018
arXiv:1704.05961, DOI
- Modern Algebra 2 (with Tran Nguyen An, Nguyen Van Hoang)
Thai Nguyen University Publishing House, ISBN:978-604-9987-40-3, 2021
Thai Nguyen University Publishing House