References Page 1 References [1] S. Abhyankar, S. Wiegand, On the compositum of two power
series rings, Proc. Amer. Math. Soc. 112 (1991), 629 – 636. [2] U. Albrecht, Endomorphism …

To a big-tilting object in a complete, cocomplete abelian category with an injective
cogenerator we assign a big-cotilting object in a complete, cocomplete abelian category with …

Extriangulated category was introduced by H. Nakaoka and Y. Palu to give a unification of
properties in exact categories and triangulated categories. A notion of tilting (resp., cotilting) …

We introduce the notion of noncompact (partial) silting and (partial) tilting sets and objects in
any triangulated category D with arbitrary (set-indexed) coproducts. We show that …

We classify all tilting and cotilting classes over commutative noetherian rings in terms of
descending sequences of specialization closed subsets of the Zariski spectrum …

We introduce the notion of semi-tilting complexes, which is a small generalization of tilting
complexes. Interesting examples include APR-semitilting complexes, etc. Note that non …

We prove that given a Grothendieck category G with a tilting object of finite projective
dimension, the induced triangle equivalence sends an injective cogenerator of G to a big …

We introduce and study the new concepts of cosilting complexes, cosilting modules and AIR-
cotilting modules. We prove that the three concepts AIR-cotilting modules, cosilting modules …

One Dimensional Tilting Modules are of Finite Type Page 1 Algebr Represent Theor (2008)
11:43–61 DOI 10.1007/s10468-007-9064-3 One Dimensional Tilting Modules are of Finite …

ALL TILTING MODULES ARE OF FINITE TYPE 1. Introduction In the early eighties Brenner
and Butler in [9] and Happel and Ringel in Page 1 PROCEEDINGS OF THE AMERICAN …