Relative Gorenstein projective and injective modules on ring extensions
Sign Up to like & getrecommendations! Published in 2025 at "Communications in Algebra"
DOI: 10.1080/00927872.2025.2506708
Abstract: Abstract A ring extension is a ring homomorphism that preserves identities. Motivated by the theory of Gorensteion homological algebra, we introduce the definitions of relative Gorensteion projective and relative Gorensteion injective modules over arbitrary ring… read more here.
Keywords: relative gorenstein; algebra; gorenstein projective; ring extensions ... See more keywords
Ring Extensions with Finitely Many Non-Artinian Intermediate Rings
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematics"
DOI: 10.1155/2020/7416893
Abstract: The commutative ring extensions with exactly two non-Artinian intermediate rings are characterized. An initial step involves the description of the commutative ring extensions with only one non-Artinian intermediate ring. read more here.
Keywords: artinian intermediate; intermediate rings; finitely many; ring extensions ... See more keywords
Normal Bases on Galois Ring Extensions
Sign Up to like & getrecommendations! Published in 2018 at "Symmetry"
DOI: 10.3390/sym10120702
Abstract: Normal bases are widely used in applications of Galois fields and Galois rings in areas such as coding, encryption symmetric algorithms (block cipher), signal processing, and so on. In this paper, we study the normal… read more here.
Keywords: ring extensions; bases galois; galois ring; normal bases ... See more keywords