Main

Research

Teaching

Papers

Talks

Academic

Papers

• Linear Version of Parseval’s Theorem , Journal of IEEE Access, vol. 10, pp. 27230-27241, (2022).

• Invariant Measurement Devices in Signal Processing and Pattern Recognition Through Group Cohomology, submitted, (2021).

• Matched pairs of m-invertible Hopf quasigroups , (joint with Serkan Sutlu), Quasigroups and Related Systems 28 (2020), 101 - 138.

• Lagrange theorem for Hom-groups , Rocky Mountain J. Math. 49 (2019), no. 3, 773–787.

• Hom-Groups, Representations and Homological Algebra , Colloq. Math. 158 (2019), no. 1, 21–38.

• Monoidal categories, 2-Traces, and cyclic cohomology, (joint with Masoud Khalkhali and Ilya Shapiro), Canadian Mathematical Bulletin, 62 (2019), no. 2, 293–312.

• On Antipodes Of Hom-Hopf algebras , 20 pages (2018), submitted, https://arxiv.org/abs/1803.01441 .

• On representation theory of total (co)integrals, Journal of Algebra and Its Applications, vol 15, no. 10 (2016), 19 pages.

• Cyclic homology for Hom-associative algebra, (joint with Ilya Shapiro and Serkan Sutlu), Journal of Geometry and Physics, Volume 98, December (2015), Pages 40–56.

• Cup coproducts in Hopf cyclic cohomology, (joint with M. Khalkhali), Journal of Homotopy and Related Structures, (2015), Volume 10, Issue 3, Pages 347- 373.

• On cyclic cohomology of x-Hopf algebras, Journal of K-Theory, Volume 13, Issue 01, (2014), pages 147-170, Cambridge University Press.

• New coefficients for Hopf cyclic cohomology, Communications in Algebra, Volume 42, Issue 12, December 2014, pages 5287-5298.

• Generalized coefficients for Hopf cyclic cohomology, ( joint with D. Kucerovsky and B. Rangipour), SIGMA 10 (2014), 093, 16 pages.

• Equivariant Hopf Galois extension and Hopf cyclic homology, (Joint with B. Rangipour), Journal of Noncommutative . Geometry. 7 (2013), no1, pages 105-133.

• Hopf Galois (co)extensions in noncommutative geometry, New Zealand Journal of Mathematics, Vol. 42, (2012), Pages 195-215.

• Quantum groupoids and their Hopf cyclic cohomology, (joint with B. Rangipour), submitted, http://arxiv.org/abs/1108.0030.

• Operations on Hopf cyclic cohomology, Thesis (Ph.D.)–The University of Western Ontario (Canada). (2010). 114 pp. ISBN: 978-0494-73358-5, ProQuest LLC.