Unit sum numbers of modulesIf M is

Unit sum numbers of modules
If M is a module over the ring R, then the set of R–endomorphisms of M form a ring
ER(M). We shall say that the module M has the n–sum property or has the unit sum
number k if the ring ER(M) has the corresponding property.
It follows immediately from Proposition 1.2(c) that a free R–module of finite rank has
the n–sum property if R has; in particular a finite dimensional vector space over a field
F = GF(2) has unit sum number equal to 2. Indeed finite dimensional vector spaces
over GF(2) have the same property, with one exception, as established below.

ผลลัพธ์ (อังกฤษ) 2:

UNIT Sum Numbers of modules
If M is a Module over the Ring R, then the SET of R-endomorphisms of M form a Ring
ER (M). We Shall Say that the Module M has the n-Sum Property or has the UNIT Sum
Number K if the Ring ER (M) has the corresponding Property.
It follows immediately from Proposition 1.2 (C) that a free R-Module of finite rank. has
the n-Sum if R has Property; in particular a finite dimensional vector Space over a field
F? = GF (2) has UNIT Sum Equal to Number 2. Indeed finite dimensional vector Spaces
over GF (2) have the Same Property, with one Exception, as established Below.

ผลลัพธ์ (อังกฤษ) 3:

Unit sum numbers of modules
If M is a module over the ring R then the, set of R - endomorphisms of M form a ring
ER (M). We. Shall say that the module M has the N - sum property or has the unit sum
number k if the ring ER (M) has the corresponding. Property.
It follows immediately from Proposition 1.2 (c) that a free R - module of finite rank has
the N - sum property if R. Has;In particular a finite dimensional vector space over a field
F  = GF (2) has unit sum number equal to 2. Indeed finite dimensional. Vector spaces
over GF (2) have the same property with exception as, one, established below.
.