Addendum to "D-Extending Modules" [Hacet. J. Math. Stat. Volume 49 (3) (2020), 914-920]

Math 8020 Chapter 3: Modules

J. reine angew. Math. 588 (2005), 49—69

We establish an unexpected relation among the Weil-Petersson metric, the generalized Hodge metrics and the BCOV torsion. Using this relation, we prove that certain kind of moduli spaces of polarized Calabi-Yau manifolds do not admit complete subvarieties. That is, there is no complete smooth family for certain class of polarized Calabi-Yau manifolds. We also give an estimate of the complex Hess...

Book Review: Radical Equations: Math Literacy and Civil Rights, Volume 49, Number 3

The book is divided into two parts. Part I gives a vivid picture of the civil rights movement in Mississippi in the years 1961–1964. Moses not only conveys the drama of impoverished black Mississippians confronting the violence of whites determined to prevent them from voting, but also candidly and convincingly describes the difficult strategic and tactical decisions of organizers such as himse...

Math + 3 D + Games = Happy Students

INTRODUCTION AquaMOOSE 3D is a constructionist learning environment where students control an avatar moving through 3-space. This is depicted as a fish in an aquarium in order to provide the student with all degrees of freedom in movement and yet to surround him or her in a familiar environment. AquaMOOSE 3D is designed ultimately to allow students to program games in this environment, but it c...

Modules whose direct summands are FI-extending

‎A module $M$ is called FI-extending if every fully invariant submodule of $M$ is essential in a direct summand of $M$‎. ‎It is not known whether a direct summand of an FI-extending module is also FI-extending‎. ‎In this study‎, ‎it is given some answers to the question that under what conditions a direct summand of an FI-extending module is an FI-extending module?