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Modules over matrix near-rings and the ℐ0-radical

✍ Scribed by J. D. P. Meldrum; J. H. Meyer

Publisher
Springer Vienna
Year
1991
Tongue
English
Weight
702 KB
Volume
112
Category
Article
ISSN
0026-9255

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📜 SIMILAR VOLUMES

Exchange property and the natural preord
Exchange property and the natural preorder between simple modules over semi-Artinian rings
✍ Giuseppe Baccella 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 271 KB

We prove that if R is a right semi-Artinian ring, then R is an exchange ring and every irredundant set Simp R of representatives of simple right R-modules carries a canonical structure of an Artinian poset, which is a Morita invariant. We investigate several basic features of this order structure an

The Ring of Quotients of R[S]; R a Commu
The Ring of Quotients of R[S]; R a Commutative Ring and S a REES Matrix Semigroup over a Semigroup
✍ James A. Bate; John K. Luedeman 📂 Article 📅 1981 🏛 John Wiley and Sons 🌐 English ⚖ 483 KB

By JAMES A. RATE and JOHN K . LUEDEMAN of Clemson (I7.S.A.) (Eingegangen am 22. 11. 1979) REES matrix semigroups &I= (S, ,I, -1, P) over a semigroup correspond loosely to the n X n matrix rings over it ring R. It is well known that &(R,)x .=(&(R)),,. Moreover, when S is it finite BRANDT semigroup, S