Upper-* Radicals

✍ Scribed by W. G. Leavitt; R. L. Tangeman

• Publisher: John Wiley and Sons
• Year: 1978
• Tongue: English
• Weight: 392 KB
• Volume: 83
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.19780830106

✦ Synopsis

of Nebraska (USA) and Arkansas (USA) (Eingegangen am 22.9.1975)

1. Some properties of upper radicals

Let TV be a universal class of not necessarily associative rings, that is if RE W then all subrings and homomorphic images of R are again in W. Slthough what follows will apply in any such class, we shall for the most part assume W is simply the class of all not necessarily associative rings.

There are several well-known class functions in W . Two which are useful in radical theory are S and 0'. If M is any subclass of W , S