Communications in Algebra

Kerner, Otto

doi: 10.1080/00927879208824473pmid: N/A

Socle-projective categories seem to be a link between the representation theory of modules over finite dimensional algebras or artin algebras and other topics in representation theory: The the category of lattices over generalised) ackstrom orders can be described in terms of the category of socle-projective modules over a hereditary algebra, see for example the survey paper [16]. If S is a finite poset, the category of S-spaces of the poset S is nothing else than the category of socle-projective modules of the incidence algebra k(S*) of the enlarged poset S U {w}, see [18, 5.11.] Results of Konig on tame and wild generalised Biickstrom orders (in the language of socle-projective modules over hereditary algebras) show that the structure of the socle-projective category over a hereditary algebra A also in the representation-infinite case is extremely parallel to the structure of the torsion-free class F(T) C A - mod of a tilting module: In the case of a tame generalised Backstrom order in [12] he got the same description as is known from [7] for tame Euclidean tilted algebras; in the wild case, his results coincide with the results for wild tilted algebras in [lo].

Harmanci, Abdullah; Smith, Patrick F; Osofsky, B.L; Smith, P.F

doi: 10.1080/00927879208824474pmid: N/A

Marubayashi, Hidetoshi; Lee, Yang; Park, Jae Keol

doi: 10.1080/00927879208824475pmid: N/A

A ring is called left (resp. right) hereditary if every left (resp. right) ideal is projective. A Dedekind domain is a commutative domain which is hereditary.

Dowbor, Piotr; Meltzer, Hagen

doi: 10.1080/00927879208824477pmid: N/A

Bernstein-Gelfand-Gelfand showed that the derived category of coherent sheaves on the projective n-space Db(cohPn) is equivalent to the stable ategory of the category of Z-graded finite-dimensional modules over the exterior algebra. At the same time Beilinson gave a description of Db(cohPn) which can be interpreted in terms of tilting theory. We compare these two characterizations using Happel's description of the derived category of modules over a finite-dimensional algebra of fnite global dimension.

Dowbor, Piotr; Meltzer, Hagen

doi: 10.1080/00927879208824476pmid: N/A

Bernstein-Gelfand-Gelfand showed that the derived category of coherent sheaves on the projective n-space Db(cohPn) is equivalent to the stable ategory of the category of Z-graded finite-dimensional modules over the exterior algebra. At the same time Beilinson gave a description of Db(cohPn) which can be interpreted in terms of tilting theory. We compare these two characterizations using Happel's description of the derived category of modules over a finite-dimensional algebra of fnite global dimension.

Fleming, Sydney Bulman

doi: 10.1080/00927879208824478pmid: N/A

Veldsman, Stefan

doi: 10.1080/00927879208824479pmid: N/A

An equiprime near-ring is a generalization of prime ring. Firstly some axioma-tics concerning equiprime near-rings are discussed, e.g. their relation to the other notions of primeness for near-rings, primitive near-rings and near-fields. Secondly we investigate the equiprimeness of some well-known examples of near-rings.

Mulet, Josep

doi: 10.1080/00927879208824480pmid: N/A

Zhou, Yiqiang

doi: 10.1080/00927879208824481pmid: N/A

Glaz, Sarah

doi: 10.1080/00927879208824482pmid: N/A