Classification of Split Ttf-triples in Module Categories
نویسندگان
چکیده
In our work [9], we complete Jans’ classification of TTF-triples [8] by giving a precise description of those two-sided ideals of a ring associated to one-sided split TTF-triples in the corresponding module category.
منابع مشابه
ar X iv : m at h / 05 11 15 9 v 1 [ m at h . R A ] 7 N ov 2 00 5 CLASSIFICATION OF SPLIT TORSION TORSIONFREE TRIPLES IN MODULE CATEGORIES
A TTF-triple (C, T , F) in an abelian category is one-sided split in case either (C, T) or (T , F) is a split torsion theory. In this paper we classify one-sided split TTF-triples in module categories, thus completing Jans' classification of two-sided split TTF-triples and answering a question that has remained open for almost forty years.
متن کاملTTF Triples in Functor Categories
We characterize the hereditary torsion pairs of finite type in the functor category of a ring R associated to tilting torsion pairs in the category of R-modules. Moreover, we determine a conditions under which they give rise to TTF triples.
متن کاملSpectral triples of weighted groups
We study spectral triples on (weighted) groups and consider functors between the categories of weighted groups and spectral triples. We study the properties of weights and the corresponding functor for spectral triples coming from discrete weighted groups.
متن کاملA KIND OF F-INVERSE SPLIT MODULES
Let M be a right module over a ring R. In this manuscript, we shall study on a special case of F-inverse split modules where F is a fully invariant submodule of M introduced in [12]. We say M is Z 2(M)-inverse split provided f^(-1)(Z2(M)) is a direct summand of M for each endomorphism f of M. We prove that M is Z2(M)-inverse split if and only if M is a direct...
متن کاملThe diagnostic value of TTF1, P63, HMWK [34βE12], CK7, and CD56 immunostaining in classification of lung carcinoma
Background & objective: The histologic distinction of small cell from non-small cell lung carcinoma and correct identification of all subtypes of lung carcinoma are very important in treatment management. The main method for histologic classification of lung tumors is based on morphology. However, in small bronchoscopic biopsies in par...
متن کامل