Papers

You can also find my papers (preprints) on my arXiv page.

Preprints

Image-extension-closed subcategories of module categories of hereditary algebras

arXiv preprint, August 2022. Link: arXiv:2208.13937

Study subcategories of a module category closed under images and extensions. Read more

Grothendieck monoids of extriangulated categories

arXiv preprint, August 2022. Link: arXiv:2208.02928

Study the Grothendieck monoid of an extriangulated category. Read more

From the lattice of torsion classes to the posets of wide subcategories and ICE-closed subcategories

arXiv preprint, January 2022. Link: arXiv:2201.00595

Compute the posets of wide subcats and ICE-closed subcats from the lattice of torsion classes Read more

Intervals of s-torsion pairs in extriangulated categories with negative first extensions

(joint work with T. Adachi and M. Tsukamoto)

arXiv preprint, March 2021. Link: arXiv:2103.09549

Unify bijections of the form “Interval poset of torsion pairs is isomorphic to the poset of torsion pairs in another subcategory” in the framework of extriangulated categories. Read more

Publications

Rigid modules and ICE-closed subcategories in quiver representations

Published in J. Algebra, March 2022. Links: journal, arXiv:2005.05536

Established a bijection between Image-Cokernel-Extension-closed (ICE-closed) subcats in mod kQ and rigid kQ-modules Read more

The Jordan-Hölder property and Grothendieck monoids of exact categories

Published in Adv. Math., February 2022. Links: journal, arXiv:1908.05446

I consider when an exact category satisfies the Jordan-Hölder property, (JHP). Read more

Monobrick, a uniform approach to torsion-free classes and wide subcategories

Published in Adv. Math., December 2021. Links: journal, arXiv:2005.01626

Motivated by the study of simple objects of exact categories, I proposed the notion of monobricks, which enables us to study wide subcategories and torsion-free classes simultaneously. Read more

Schur’s lemma for exact categories implies abelian

Published in J. Algebra, October 2021. Links: journal, arXiv:2002.09241

I proved the title. Read more

ICE-closed subcategories and wide τ-tilting modules

(joint work with A. Sakai)

Published in Math. Z., June 2021. Links: journal, arXiv:2010.05433

Study Image-Cokernel-Extension closed subcategories of module categories using the poset of torsion classes and τ-tilting theory. Read more

Published proceedings

H. Enomoto, The Jordan-Hölder property, Grothendieck monoids and Bruhat inversions, Ring Theory 2019, Proceedings of the Eighth China–Japan–Korea International Symposium on Ring Theory (2021), 103–-112.
This is a survey article of this JHP paper. Link: journal

Haruhisa Enomoto