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Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

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Open Access Research Article

Z-small critically compressible modules

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pp. 1309–1316Vol. 28Issue 4-BJune 2025DOI: 10.47974/JDMSC-2269 Crossmark XML
Received:
04 Feb 2025
Published Online:
26 Jun 2025
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2269
Pages:
1309–1316

Abstract

For an R-module (R – mod) C and a commutative ring (with identity) R, we introduce the notion  Z-Small critically compressible modules (An R-mod C is Z-small Critically compressible (ZSC – C) where C may not embedded, in proper quotient modules C ⁄ N   with 0 ≠ N ≪Z  C)  as a generalization of Small critically compressible. We also provide the relationship between Z-small monoforms and Z-critically compressible modules in which the module is Z-small compressible.

Keywords

Subject Classifications

76B0376B45

References

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