On a Property of Transfer Ideals

Bekir Danış

doi:10.54974/fcmathsci.1666811

On a Property of Transfer Ideals

Abstract

We study the initial ideal of the ideal of transfers for a finite group with respect to the graded reverse lexicographic order. We prove that the Borel fixedness property of this ideal passes to that of submodules, i.e., if this ideal is Borel fixed for a module, then it stays Borel fixed for all its submodules. We also prove a partial converse.

Keywords

Ethical Statement

The author declares that the materials and methods used in his study do not require ethical committee and/or legal special permission.

References

Eddy Campbell H.E.A., Wehlau D.L., Modular Invariant Theory, Encyclopaedia of Mathematical Sciences, 139, Springer-Verlag, 2011.
Shank R.J., Wehlau D.L., The transfer in modular invariant theory, Journal of Pure and Applied Algebra, 142(1), 63-77, 1999.
Miller E., Sturmfels B., Combinatorial Commutative Algebra, Graduate Texts in Mathematics, Springer, 2004.
Neusel, M.D., Invariant Theory, Student Mathematical Library, American Mathematical Society, 2007.
Herzog J., Hibi T., Monomial Ideals, Graduate Texts in Mathematics, 260, Springer-Verlag, 2011.

Details

Primary Language

English

Subjects

Algebra and Number Theory

Journal Section

Research Article

Authors

Bekir Danış ^*
0000-0002-3532-2670
Türkiye

Publication Date

January 31, 2026

Submission Date

March 27, 2025

Acceptance Date

January 16, 2026

Published in Issue

Year 2026 Volume: 7 Number: 1

DOI

https://doi.org/10.54974/fcmathsci.1666811

IZ

https://izlik.org/JA92AR23RK

Cite

RIS / Bibtex

APA

Danış, B. (2026). On a Property of Transfer Ideals. Fundamentals of Contemporary Mathematical Sciences, 7(1), 47-52. https://doi.org/10.54974/fcmathsci.1666811

AMA

1.Danış B. On a Property of Transfer Ideals. FCMS. 2026;7(1):47-52. doi:10.54974/fcmathsci.1666811

Chicago

Danış, Bekir. 2026. “On a Property of Transfer Ideals”. Fundamentals of Contemporary Mathematical Sciences 7 (1): 47-52. https://doi.org/10.54974/fcmathsci.1666811.

EndNote

Danış B (January 1, 2026) On a Property of Transfer Ideals. Fundamentals of Contemporary Mathematical Sciences 7 1 47–52.

IEEE

[1]B. Danış, “On a Property of Transfer Ideals”, FCMS, vol. 7, no. 1, pp. 47–52, Jan. 2026, doi: 10.54974/fcmathsci.1666811.

ISNAD

Danış, Bekir. “On a Property of Transfer Ideals”. Fundamentals of Contemporary Mathematical Sciences 7/1 (January 1, 2026): 47-52. https://doi.org/10.54974/fcmathsci.1666811.

JAMA

1.Danış B. On a Property of Transfer Ideals. FCMS. 2026;7:47–52.

MLA

Danış, Bekir. “On a Property of Transfer Ideals”. Fundamentals of Contemporary Mathematical Sciences, vol. 7, no. 1, Jan. 2026, pp. 47-52, doi:10.54974/fcmathsci.1666811.

Vancouver

1.Bekir Danış. On a Property of Transfer Ideals. FCMS. 2026 Jan. 1;7(1):47-52. doi:10.54974/fcmathsci.1666811