{"product_id":"on-boolean-near-rings-algebra-von-pushpalatha-k","title":"On Boolean Near Rings","description":"\u003cp\u003eThis book deals with the study of properties of Boolean near-rings. we present the result that every Boolean near-ring is weakly commutative. By using this result we provide a simple proof for Steve Light's result that every DC Boolean near-ring is a Boolean ring. We also prove some interesting results relating to Boolean near-rings We show that every maximal ideal in a Boolean near-ring is prime. But the converse is in general not true and an example is given to this effect. We prove that if N is a zero-symmetric Boolean near-ring, then for every e belong to N, Ne is an ideal of N. Moreover we prove that every left ideal of an arbitrary Boolean near-ring is an ideal. An example is given to show that every right ideal of a Boolean near-ring is not an ideal, in general.We also prove that every subdirectly irreducible Boolean near-distribution ring having a nonzero element is a two-element field.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9786203197273\"\u003e\u003ch3\u003eAlgebra\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9786203197273","offer_id":39448987172957,"sku":"9786203197273","price":39.9,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/e25587c8-ee38-45e2-acd1-90479c54ab0f.jpg?v=1773474505","url":"https:\/\/shop.autorenwelt.de\/en\/products\/on-boolean-near-rings-algebra-von-pushpalatha-k","provider":"Autorenwelt Shop","version":"1.0","type":"link"}