A. K. Chaturvedi, Sandeep Kumar
Abstract
For any two right R-modules M and N, M is said to be a ps-N-injective module if, any monomorphism f : soc(N) → M can be extended to N. Also, M is called psq-injective if M is a ps-M-injective module. We discuss some properties and characterizations in terms of psq-injective modules.
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For any two right R-modules M and N, M is said to be a ps-N-injective module if, any monomorphism f : soc(N) → M can be extended to N. Also, M is called psq-injective if M is a ps-M-injective module. We discuss some properties and characterizations in terms of psq-injective modules.
Key concepts: Monomorphism, Injective function, Injective module, Divisible group, Mathematics, Combinatorics, Abelian group, G-module