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If R is a ring, we can define the opposite ring R op, which has the same underlying set and the same addition operation, but the opposite multiplication: if ab = c in R, then ba = c in R op. Any left R-module M can then be seen to be a right module over R op, and any right module over R can be considered a left module over R op.
The Universidad de las Américas, Asociación Civil (UDLA, A.C.) is a university located in Mexico City, Mexico. It was founded in 1940 as the Mexico City College (MCC). In 1963, its name was changed to the University of the Americas and in 1968 to the Universidad de las Américas.
The abbreviation may be non-obvious. For example, "KU" is the University of Kansas and not "UK," which is commonly the University of Kentucky. In some cases, the nickname may be better known than the formal name. For example, "West Point" for the United States Military Academy or "UCLA" for the University of California, Los Angeles.
In mathematics, a sheaf of O-modules or simply an O-module over a ringed space (X, O) is a sheaf F such that, for any open subset U of X, F(U) is an O(U)-module and the restriction maps F(U) → F(V) are compatible with the restriction maps O(U) → O(V): the restriction of fs is the restriction of f times the restriction of s for any f in O(U) and s in F(U).
The University of Mobile has 1,577 students from thirty states and twenty-four nations. [7] Overall, sixty-five percent of the students enrolled are from the Mobile area or surrounding counties while seventeen percent are from other areas in Alabama. Forty percent of the student body reside on campus.
Uniform Office Format (UOF; Chinese 标文通, literally "standard text general" [1]), sometimes known as Unified Office Format, is an open standard for office applications developed in China. [2] It includes word processing, presentation, and spreadsheet modules, and is made up of GUI , API , and format specifications.
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canonical module canonical module (the term "canonical" comes from canonical divisor) category of modules The category of modules over a ring is the category where the objects are all the (say) left modules over the given ring and the morphisms module homomorphisms.