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Clearly, two distinct graded maximal submodules of a graded module are graded coprime.
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In Year 1 the students' analyses of the case studies in the speciation module were graded.
Group 1 was assigned the interactive speciation module and their analysis of the final case study in the module was graded.
For example, we show that if M is a graded finitely generated module, then two graded submodules N and K of M are graded coprime if and only if grad M (N) and grad M (K) are graded coprime.
Let R be a graded ring and M be a graded module over R. Let N = IM and K = JM be graded submodules of M where I and J are graded coprime ideals of R.
Let R be a graded ring and M be a graded module over R. Let I and J be graded ideals of R.
Let R be a graded ring and M be a graded multiplication module over R. Let N and K be graded coprime submodules of M.
Let R be a graded ring and M be a graded finitely generated module over R. Let N and K be graded submodules of M.
Let R be a graded ring and M be a graded multiplication module over R with this property that every graded submodule of M is graded semiprime.
Group 1 was assigned and completed the interactive speciation module online, and their analysis of the case study was graded.
The quizzes were graded, but these scores did not affect the students' grades; completion of the module and quizzes earned each student 4% of the final grade.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com