Homotopical Presentations and Calculations of Algebraic $K_0$-Groups for Rings of Continuous Functions
نویسندگان
چکیده
منابع مشابه
Generalized Rings of Measurable and Continuous Functions
This paper is an attempt to generalize, simultaneously, the ring of real-valued continuous functions and the ring of real-valued measurable functions.
متن کاملState spaces of $K_0$ groups of some rings
Let $R$ be a ring with the Jacobson radical $J(R)$ and let $picolon Rto R/J(R)$ be the canonical map. Then $pi$ induces an order preserving group homomorphism $K_0picolon K_0(R)to K_0(R/J(R))$ and an affine continuous map $S(K_0pi)$ between the state space $St(R/J(R))$ and the state space $St(R).$ In this paper, we consider the natural affine map $S(K_0pi).$ We give a condition ...
متن کاملAlgebraic properties of rings of continuous functions
This paper is devoted to the study of algebraic properties of rings of continuous functions. Our aim is to show that these rings, even if they are highly nonnoetherian, have properties quite similar to the elementary properties of noetherian rings: we give going-up and going-down theorems, a characterization of z-ideals and of primary ideals having as radical a maximal ideal and a flatness crit...
متن کاملgeneralized rings of measurable and continuous functions
this paper is an attempt to generalize, simultaneously, the ring of real-valued continuous functions and the ring of real-valued measurable functions.
متن کاملexistence and approximate $l^{p}$ and continuous solution of nonlinear integral equations of the hammerstein and volterra types
بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی بیان شده اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...
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ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 2012
ISSN: 0034-5318
DOI: 10.2977/prims/61