Attaching to nouns, 上（じょう） is a 接尾語（せつびご） (suffix) that highlights when something is being presented ‘from the standpoint of (A)’. The ‘standpoint’ that 上（じょう） will indicate is usually a specific field or area of concern. The (B) part of the sentence will then go on to describe what exactly is being considered from that standpoint.

• 法律（ほうりつ）上（じょう）、伊勢海老（いせえび）を許可（きょか）なく釣（つ）り上（あ）げて持（も）って帰（かえ）ることが禁止（きんし）されている。
  From a legal standpoint, it is prohibited to fish for lobsters and to bring them home without a permit.
• 規則（きそく）上（じょう）、生徒（せいと）は髪（かみ）を染（そ）めてはいけないのに、髪（かみ）を染（そ）めている生徒（せいと）が複数（ふくすう）います。
  From the standpoint of the rules, it is prohibited for the students to dye their hair, but there are a few students that have dyed hair.

上（じょう） is fairly formal, and can interpreted similarly to に関（かん）して ‘in connection to’, in that it is just expressing that (B) is being discussed in relation to (A).
As 上（じょう） will be used with matters of concern, it is very frequently seen with words that express broad fields, such as 仕事（しごと） ‘work’, 教育（きょういく） ‘education’, 歴史（れきし） ‘history’, 健康（けんこう） ‘health’, 経験（けいけん） ‘experience’, 法律（ほうりつ） ‘the law’, and other similar things.