Associative regular operations on groups corresponding to a property $\mathcal{P}$

ASSOCIATIVE REGULAR OPERATIONS ON GROUPS CORRESPONDING TO A PROPERTY <p

In previous papers [4; 5; 6] we constructed and studied many classes of operations on groups which have the following properties: (1) Associative; (2) Commutative; (3) The resultant group contains isomorphic images of the original factors and is generated by them; (4) In the resultant group the intersection of a factor with normal subgroup generated by the remaining factors is the unit element....

fixed point property for banach algebras associated to locally compact groups

در این پایان نامه به بررسی خاصیت نقطه ثابت و خاصیت نقطه ثابت برای نیم گروههای برگشت پذیر چپ روی بعضی جبرهای باناخ از جمله جبر فوریه و جبر فوریه استیلتیس پرداخته شده است. برای مثال بیان شده است که اگر گروه یک گروه فشرده موضعی با همسایگی فشرده برای عنصر همانی که تحت درونریختی ها پایاست باشد آنگاه جبر فوریه و جبر فوریه استیلتیس دارای خاصیت نقطه ثابت برای نیم گروه های برگشت پذیر چپ است اگر و تنها ا...

Smooth associative operations on finite chains

Broadcast and Associative Operations on Fat-Trees

This paper analyzes the cost of performing broadcast, product and prefix computation on the ideal fat-tree, a model proposed here to capture distance and bandwidth properties common to a variety of fat-tree networks. Algorithms are developed and analyzed in terms of the capacity of channels at different levels of the fat-tree. Non trivial lower bounds are derived establishing the optimality of ...

Non-Associative Operations

Abstract: How is fuzzy logic usually formalized? There are many seemingly reasonable requirements that a logic should satisfy: e.g., since and are the same, the corresponding and-operation should be commutative. Similarly, since means the same as , we should expect that the and-operation should also satisfy this property, etc. It turns out to be impossible to satisfy all these seemingly natural...