3. List of publications

 Papers (peer-reviewed)  ( MathSciNet –> Asashiba, H )

  1. Asashiba, Hideto; Kimura, Mayumi; Nakashima, Ken; and Yoshiwaki, Michio: On isomorphisms of generalized multifold extensions of algebras without nonzero oriented cycles, Communications in Algebra, (18 Oct 2020), DOI: 10.1080/00927872.2020.1826958 (To link to this article: https://doi.org/10.1080/00927872.2020.1826958)
  2. Asashiba, Hideto: Cohen–Montgomery Duality for Pseudo-actions of a Group, Bulletin of the Iranian Mathematical Society, (Aug 2020), 1-76, DOI: 10.1007/s41980-020-00413-6.
  3. Asashiba, Hideto; Mizuno, Yuya; Nakashima, Ken: Simplicial complexes and tilting theory for Brauer tree algebras. J. Algebra 551 (2020), 119–153.
  4. Asashiba, Hideto: Smash products of group weighted bound quivers and Brauer graphs, Comm. Algebra 47 (2019), no. 2, 585–610, (Published online: 16 Jan 2019), DOI: 10.1080/00927872.2018.1487562.
  5. Asashiba, Hideto; Escolar, Emerson G.; Hiraoka, Yasuaki; and Takeuchi, Hiroshi: Matrix Method for Persistence Modules on Commutative Ladders of Finite Type, Japan Journal of Industrial and Applied Mathematics, Volume 36, 97–130 (2019), (Published online: 24 September 2018), DOI: 10.1007/s13160-018-0331-y.
  6. Asashiba, Hideto; Hafezi, Rasool; and Vahed, Razieh: Gorenstein versions of covering techniques for linear categories and their applications, Journal of Algebra (2018),  Volume 507, 320–361, DOI:10.1016/j.jalgebra.2018.04.017.
  7. Asashiba, Hideto; Nakashima, Ken; and Yoshiwaki, Michio: Decomposition theory of modules: the case of Kronecker algebra, Japan Journal of Industrial and Applied Mathematics 34 (2017), no. 2, 489–507.
  8. Asashiba, Hideto and Nakashima, Ken: Tilted algebras and configurations of self-injective algebras of Dynkin type, Comm. Algebra 45 (2017) no. 8, 3278–3296.
  9. Asashiba, Hideto: A generalization of Gabriel’s Galois covering functors II: 2-categorical Cohen-Montgomery duality, Applied Categorical Structures 25 (2017), no. 2, 155–186. 
  10. Asashiba, Hideto and Kimura, Mayumi: Derived equivalence classification of generalized multifold extensions of piecewise hereditary algebras of tree type, Algebra Discrete Math. 19 (2015), no. 2, 145–161.
  11. Asashiba, Hideto and Kimura, Mayumi: Presentations of Grothendieck constructions, Comm. Algebra 41 (2013), no. 11, 4009–4024.
  12. Asashiba, Hideto: Gluing derived equivaleces together, Adv. Math. 235 (2013) 134–160.
  13. Asashiba, Hideto: Derived equivalences of actions of a category, Applied Categorical Structures 21 (2013), no. 6, 811–836, DOI: 10.1007/s10485-012-9284-5.
  14. Asashiba, Hideto: A generalization of Gabriel’s Galois covering functors and derived equivalences, J. Algebra 334 (2011), no. 1, 109–149.
  15. Asashiba, Hideto: Domestic canonical algebras and simple Lie algebras, Math. Z. 259 (2008), 713–754.
  16. Asashiba, Hideto: Realization of general and special linear algebras via Hall algebras, Proc. of the 10th International Conference on Representations of Algebras held in Toronto, 2002, Fields Institute Communications, 45 (2005), 9–16.
  17. Asashiba, Hideto: Realization of simple Lie algebras via Hall algebras of tame hereditary algebras, J. Math. Soc. Japan, 56 (2004), 889–905.
  18. Asashiba, Hideto: On a lift of an individual stable equivalence to a standard derived equivalence for representation-finite self-injective algebras, Algebras and Representation Theory 6 (2003), 427–447.
  19. Asashiba, Hideto: Derived and stable equivalence classification of twisted multifold extensions of piecewise hereditary algebras of tree type, J. Algebra 249 (2002), 345–376.
  20. Asashiba, Hideto: The derived equivalence classification of representation-finite self-injective algebras, J. Algebra 214 (1999), 182–-221.
  21. Asashiba, Hideto: Derived equivalence and stable equivalence of repetitions of algebras of finite global dimension, Algebras and modules, II (Geiranger, 1996), 7–15, CMS Conf. Proc., 24, Amer. Math. Soc., Providence, RI, 1998.
  22. Asashiba, Hideto: A covering technique for derived equivalence, J. Algebra 191 (1997), 382–415. 
  23. Asashiba, Hideto and Hoshino, Mitsuo: Local rings with vanishing Hochschild cohomologies, Comm. Algebra 22 (1994), 2309–-2316.
  24. Asashiba, Hideto and Hoshino, Mitsuo: Bilinear maps which define local algebras with trivial Hochschild cohomology, Representations of algebras (Ottawa, ON, 1992), 15–28, CMS Conf. Proc., 14, Amer. Math. Soc., Providence, RI, 1993.
  25. Asashiba, Hideto: The self-injectivity of a local algebra A and the condition Ext1A(DA, A) = 0, Representations of finite-dimensional algebras (Tsukuba, 1990), 9–23, CMS Conf. Proc., 11, Amer. Math. Soc., Providence, RI, 1991.
  26. Asashiba, Hideto: The Auslander-Reiten quiver of a ring of right local type, Osaka J. Math. 28 (1991), 63–84.
  27. Asashiba, Hideto: On the number of isomorphism classes of extensions, Comm. Algebra 15 (1987), 1859–1868.
  28. Asashiba, Hideto: On algebras of second local type, III, Osaka J. Math. 24 (1987), 107–122.
  29. Asashiba, Hideto and Harada, Manabu: On maximal submodules of a finite direct sum of hollow modules, V, Osaka J. Math. 23 (1986), 835–839.
  30. Asashiba, Hideto: On algebras of second local type, II, Osaka J. Math. 21 (1984), 343–364.
  31. Asashiba, Hideto: On algebras of second local type, I, Osaka J. Math. 21 (1984), 327–342.
  32. Asashiba, Hideto: On the indecomposability of amalgamated sums, Osaka J. Math. 20 (1983), 701–711.
  33. Asashiba, Hideto and Sumioka, Takeshi: On Krull-Schmidt’s theorem and the indecomposability of amalgamated sums Osaka J. Math. 20 (1983), 321–329.

Expositions (peer reviewed)

  1. Asashiba, Hideto: Derived equivalence classification of algebras, Sugaku 64 (2012), 357–383 (in Japanese), English translation: Sugaku Expositions 29 (Dec. 2016), no. 2, 145–175 (download). 
  2. Asashiba, Hideto: Book review of “Representation Theory of Artin Algebras by M. Auslander, I. Reiten and S. O. Smalo, Cambridge Stud. Adv. Math., 36, Cam- bridge Univ. Press, (1995), xiv+423 pp.”, ‘Mathematics’, Vol. 59, no. 3 (July 2007), Math. Soc. Japan, 318–323 (in Japanese).

Books

  1. Asashiba, Hideto: Linear Algebra, a basic course, Bifukan, 169 pages, ISBN-13: 978-  4563004736 (in Japanese).
  2. Asashiba, Hideto: Categories and Representation Theory, focused on 2-categorical covering theory, SGC Library 155, SAIENSU-SHA Co.,Ltd, ISBN978-4-7819-1465-7 (in Japanese).

Other papers (not peer-reviewed)

  1. Asashiba, Hideto; Nakashima, Ken; and Yoshiwaki, Michio: Decomposition theory of modules: the case of Kronecker algebra, Proceedings of the 49th Symposium on Ring Theory and Representation Theory, 161–168, Symp. Ring Theory Represent. Theory Organ. Comm., Shimane, 2017.
  2. Asashiba, Hideto: Derived equivalences and smash products, Proceedings of the 49th Symposium on Ring Theory and Representation Theory, 12–17, Symp. Ring Theory Represent. Theory Organ. Comm., Shimane, 2017.
  3. Asashiba, Hideto: Cohen-Montgomery duality for bimodules and its applications to equivalences given by bimodules, Proceedings of the 48th Symposium on Ring Theory and Representation Theory, 25–32, Symp. Ring Theory Represent. Theory Organ. Comm., Yamanashi, 2016.
  4. Asashiba, Hideto and Nakashima, Ken: Tilted algebras and configurations of self-injective algebras of Dynkin type, Proceedings of the 47th Symposium on Ring Theory and Representation Theory, 25–40, Symp. Ring Theory Represent. Theory Organ. Comm., Okayama, 2015.
  5. Asashiba, Hideto: Coverings of algebras and linear categories, Sugaku Seminar, Vol. 615, January 2013, 30–37.
  6. Asashiba, Hideto and Kimura, Mayumi: Quiver presentations of Grothendieck constructions, Proceedings of the 44th Symposium on Ring Theory and Representation Theory, 16–22, Symp. Ring Theory Represent. Theory Organ. Comm., Nagoya, 2012.
  7. Asashiba, Hideto: 2-categorical extension of Cohen-Montgomery duality and derived equivalences, Proceedings of Conference on Cohomology Theory of Finite Groups and Related Topics, (Shinshu, September 2009), University of Kyoto RIMS Kokyuroku, 16–28.
  8. Asashiba, Hideto: Covering theory of categories without free action assumptions and derived equivalences, Proceedings of the 14th Conference on Algebra for young algebraists, March 2009.
  9. Asashiba, Hideto: Covering functors, skew group categories and derived equivalences, Proceedings of the 11th Symposium on Representation Theory of Algebraic Groups and Quantum Groups, (Okayama, 2008), 12–28.
  10. Asashiba, Hideto: Representations of quivers (Representation Theory of Algebras), Surikagaku, March 2008, 43–49.
  11. Asashiba, Hideto: On Ringel-Hall algebras, Proceedings of the 50th Symposium on Algebra, (Tokushima, 2005), 163–171.
  12. Asashiba, Hideto: Proceedings of the 37th Symposium on Ring Theory and Representation Theory. Held at Shinshu University, Nagano, September 3–5, 2004. Edited by Hideto Asashiba. Symposium on Ring Theory and Representation Theory Organizing Committee, Osaka, 2005. x+125 pp. 16-06 (13-06)
  13. Asashiba, Hideto: Domestic canonical algebras and simple Lie algebras, Proceedings of the 7th Symposium on Representation Theory of Algebraic Groups and Quantum Groups, (Shizuoka, 2004), 178–188.
  14. Asashiba, Hideto: Derived equivalence classification of representation-finite self-injective algebras, Proceedings of the 42nd Symposium on Algebra, (Niigata, 1997), 220–237.
  15. Asashiba, Hideto: Some algebraically compact indecomposable modules for special biserial algebras (a report of a work of C. M. Ringel), Proceedings of the 5th Symposium on Representation Theory of Algebras, (Mie, 1995), 1–14.
  16. Asashiba, Hideto: Local algebras with radical cube zero. Proceedings of the First China-Japan International Symposium on Ring Theory (Guilin, 1991), 1–3, Okayama Univ., Okayama, 1992.
  17. Asashiba, Hideto: Bocses and tame algebras, Proceedings of the 3rd Symposium on Representation Theory of Algebras, (Kofu, 1988), 31–70.
  18. Asashiba, Hideto: On the number of isoclasses of extensions, Proceedings of Conference on Representations of Rings and Duality, University of Kyoto RIMS Kokyuroku 628, (1987) 23–26.
  19. Asashiba, Hideto: Construction of skew-fields and its applications to representation theory of artinian rings, Proceedings of the Symposium on Representation Theory of Algebras, (Nara, 1986), 210–235.
  20. Asashiba, Hideto: On algebras of second local type, Proceedings of the 15th Symposium on Ring Theory (Takarazuka, 1982),36–49.
  21. Asashiba, Hideto and Sumioka, Takeshi: On the indecomposability of amalgamated sums. Proceedings of the 14th Symposium on Ring Theory (Matsumoto, 1981), 77–84, Okayama Univ., Okayama, 1981.