Propositions & Lemmas:A Mathieu subspace can be thought of as a blackhole out in

space where m would be denoted as the amount of time pass-ing until elements in space are sucked in the blackhole and

never come out.

Mathieu Subspaces (Blackholes) of Rings of 2x2 Matrices Over Certain Finite Rings

Presented By: Hanna Fry, Rebecca Feld, Katie Ruben, Jenna Simpson, & Paige KilgusFaculty Mentor: Dr. Wenhua Zhao

Mathematics Department

The notion of Mathieu subspaces, as a natural general-ization of ideals, has been introduced by Wenhua Zhao

(a professor at ISU) in 2009. This new notion plays fundamental roles in many different areas of math-

ematics. In this presentation we discuss some proper-ties and classi�ications of Mathieu Subspaces for the

rings of 2x2 matrices over certain �inite rings.

Method & Results: Continued:Abstract:

Future Work:

Refrence:

Propositions & Lemmas:A Mathieu subspace can be thought of as a blackhole out in

space where m would be denoted as the amount of time pass-ing until elements in space are sucked in the blackhole and

never come out.

Mathieu Subspaces (Blackholes) of Rings of 2x2 Matrices Over Certain Finite Rings

Presented By: Hanna Fry, Rebecca Feld, Katie Ruben, Jenna Simpson, & Paige KilgusFaculty Mentor: Dr. Wenhua Zhao

Mathematics Department

The notion of Mathieu subspaces, as a natural general-ization of ideals, has been introduced by Wenhua Zhao

(a professor at ISU) in 2009. This new notion plays fundamental roles in many different areas of math-

ematics. In this presentation we discuss some proper-ties and classi�ications of Mathieu Subspaces for the

rings of 2x2 matrices over certain �inite rings.

Method & Results: Continued:Abstract:

Future Work:

Refrence:

Propositions & Lemmas:A Mathieu subspace can be thought of as a blackhole out in

space where m would be denoted as the amount of time pass-ing until elements in space are sucked in the blackhole and

never come out.

Mathieu Subspaces (Blackholes) of Rings of 2x2 Matrices Over Certain Finite Rings

Presented By: Hanna Fry, Rebecca Feld, Katie Ruben, Jenna Simpson, & Paige KilgusFaculty Mentor: Dr. Wenhua Zhao

Mathematics Department

The notion of Mathieu subspaces, as a natural general-ization of ideals, has been introduced by Wenhua Zhao

(a professor at ISU) in 2009. This new notion plays fundamental roles in many different areas of math-

ematics. In this presentation we discuss some proper-ties and classi�ications of Mathieu Subspaces for the

rings of 2x2 matrices over certain �inite rings.

Method & Results: Continued:Abstract:

Future Work:

Refrence:

Propositions & Lemmas:A Mathieu subspace can be thought of as a blackhole out in

space where m would be denoted as the amount of time pass-ing until elements in space are sucked in the blackhole and

never come out.

Mathieu Subspaces (Blackholes) of Rings of 2x2 Matrices Over Certain Finite Rings

Presented By: Hanna Fry, Rebecca Feld, Katie Ruben, Jenna Simpson, & Paige KilgusFaculty Mentor: Dr. Wenhua Zhao

Mathematics Department

The notion of Mathieu subspaces, as a natural general-ization of ideals, has been introduced by Wenhua Zhao

(a professor at ISU) in 2009. This new notion plays fundamental roles in many different areas of math-

ematics. In this presentation we discuss some proper-ties and classi�ications of Mathieu Subspaces for the

rings of 2x2 matrices over certain �inite rings.

Method & Results: Continued:Abstract:

Future Work:

Refrence:at

W. Zhao, Mathieu Subspaces of Associative Algebras. J. Alg. 350 (2012), no. 2, 245-272. [MR2859886]. See also arXiv:1005.4260 [math.RA].

allwe have

with

For example, for the ring :

[in Z]

Propositions & Lemmas:A Mathieu subspace can be thought of as a black hole out in

space where m would be denoted as the amount of time passing untill elements in space are sucked in the black hole and never

come out.

Mathieu Subspaces (Blackholes) of Rings of 2x2 Matrices Over Certain Finite Rings

Presented By: Hanna Fry, Rebecca Feld, Katie Ruben, Jenna Simpson, & Paige KilgusFaculty Mentor: Dr. Wenhua Zhao

Mathematics Department

The notion of Mathieu subspaces, as a natural general-ization of ideals, has been introduced by Wenhua Zhao

(a professor at ISU) in 2009. This new notion plays fundamental roles in many different areas of math-

ematics. In this presentation we discuss some proper-ties and classi�ications of Mathieu Subspaces for the

rings of 2x2 matrices over certain �inite rings.

Method & Results: Continued:Abstract:

Future Work: