ON INCIDENCE MODULO IDEAL RINGS
2007 ◽
Vol 06
(04)
◽
pp. 553-586
◽
Keyword(s):
For a given associative ring B, a two-sided ideal J ⊂ B and a finite partially ordered set P, we study the ring A = I(P, B, J) of incidence modulo J matrices determined by P. The properties of A involving its radical and quiver are investigated, and the interaction of A with serial rings is explored. The category of A-modules is studied if P is linearly ordered. Applications to the general linear group over some local rings are given.
1969 ◽
Vol 21
◽
pp. 106-135
◽
Keyword(s):
1975 ◽
Vol 27
(3)
◽
pp. 636-665
◽
2000 ◽
Vol 68
(2)
◽
pp. 252-260
◽
Keyword(s):