Haruhisa ENOMOTO
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A list of all the posts and pages found on the site. For you robots out there is an XML version available for digesting as well.
About me Read more
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
arXiv preprint, August 2022. Link: arXiv:2208.02928
Study the Grothendieck monoid of an extriangulated category. Read more
arXiv preprint, August 2022. Link: arXiv:2208.13937
Study subcategories of a module category closed under images and extensions. Read more
arXiv preprint, February 2023. Link: arXiv:2301.13498
Study maximal self-orthogonal modules, a new generalization of tilting modules = Wakamatsu-projective modules, and Wakamatsu tilting modules Read more
Published in J. Algebra, September 2017. Links: journal, arXiv:1610.07589
Study the Morita type theorem for exact categories. The Ext-perpendicular category of cotilting modules are precisely exact category with progen & inj cogen & higher kernels. Read more
Published in Adv. Math., September 2018. Links: journal, arXiv:1705.02163
I classify possible exact structures on a given additive category by using functor category, and give applications to CM-finite Iwanaga-Gorenstein algebras. Read more
Published in J. Algebra, December 2019. Links: journal, arXiv:1806.07650
Rep-fin v.s. “AR seq generate relations for K_0” in exact categories. Read more
Published in Comm. Algebra, January 2021. Links: journal, arXiv:2002.09205
For torsion-free classes over preprojective algebras and path algebras of Dynkin type, I classify simple objects using the root system. Read more
Published in Appl. Categ. Structures, April 2021. Links: journal, arXiv:2005.13381
Classified a possible extriangulated substructures on a given extriangulated category using functor category Read more
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 in J. Algebra, October 2021. Links: journal, arXiv:2002.09241
I proved the title. Read more
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
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
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
Published in Math. Proc. Cambridge Philos. Soc., September 2022. Links: journal, 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
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Talk to various area of young researchers. Read more
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Talk to various area of young researchers. Read more
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This conference was canceled due to COVID-19. Read more
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Based on my paper and my SageMath program,
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10-minutes flash talk, based on my paper
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Two talks based on my papers on exact categories. Read more
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Based on my preprint: Read more
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Based on our preprint with S. Saito: Read more