Right derivations on semirings
نویسندگان
چکیده
منابع مشابه
Products of derivations which act as Lie derivations on commutators of right ideals
Throughout this note, R will be always a prime ring of characteristic different from 2 with center Z(R), extended centroid C, and two-sided Martindale quotient ring Q. Let f : R→ R be additive mapping of R into itself. It is said to be a derivation of R if f (xy)= f (x)y + x f (y), for all x, y ∈ R. Let S⊆ R be any subset of R. If for any x, y ∈ S, f ([x, y])= [ f (x), y] + [x, f (y)], then the...
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Though more general definitions are sometimes used, for this paper a semiring will be defined to be a set S with two operations + (addition) and 9 (multiplication); with respect to addition, S is a commutative monoid with 0 as its identity dement 9 With respect to multiplication, S is a (generaily noncommutat ive) monoid with 1 as its identity element. Connecting the two algebraic structures ar...
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متن کاملthe structure of lie derivations on c*-algebras
نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
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ژورنال
عنوان ژورنال: International Mathematical Forum
سال: 2013
ISSN: 1314-7536
DOI: 10.12988/imf.2013.38150