Amenable category and complexity

Decomposing the complexity quotient category

Category Discontinuity Interacts with Verbal Rule Complexity 1 Within-Category Discontinuity Interacts with Verbal Rule Complexity in Perceptual Category Learning

Two experiments were conducted that provide a test of the predicted interaction between within-category discontinuity and verbal rule complexity on the efficiency of the neurobiologically-motivated procedural-based and hypothesis-testing category learning systems, and by extension, on information-integration and rule-based category learning. In Experiment 1, within-category discontinuity advers...

the effect of task complexity on lexical complexity and grammatical accuracy of efl learners’ argumentative writing

بر اساس فرضیه شناخت رابینسون (2001 و 2003 و 2005) و مدل ظرفیت توجه محدود اسکهان (1998)، این تحقیق تاثیر پیچیدگی تکلیف را بر پیچیدگی واژگان و صحت گرامری نوشتار مباحثه ای 60 نفر از دانشجویان زبان انگلیسی بررسی کرد. میزان پیچیدگی تکلیف از طریق فاکتورهای پراکندگی-منابع تعیین شد. همه ی شرکت کنندگان به صورت نیمه تصادفی به یکی از سه گروه: (1) گروه موضوع، (2) گروه موضوع + اندیشه و (3) گروه موضوع + اندی...

Complexity and the Dimension of a Triangulated Category

We compute a lower bound for the dimension of a triangulated category, given that a certain finite generation hypothesis holds for cohomology. The bound is given in terms of the complexity of pairs of objects. We then apply the theory to the stable derived categories of complete intersections and of certain Artin algebras, and obtain lower bounds for the representation dimensions of the latter.

phi-Amenable and phi-biflat Banach algebras

In this paper we study the concept of ph-biatness ofa Banach algebra A, where ph is a continuous homomorphism on A.We prove that if ph is a continuous epimorphism on A and A hasa bounded approximate identity and A is ph- biat, then A is ph-amenable. In the case where ph is an isomorphism on A we showthat the ph- amenability of A implies its ph-biatness.