Give an example of a finite and infinite Boolean ring without unity.
I find difficulty to answer this question.Please help me.
Thank you in advance.
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3See here: http://math.stackexchange.com/questions/391169/do-boolean-rings-always-have-a-unit-element – Dec 21 '16 at 10:24
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But @Rohan I don't find any finite Boolean ring without unity in the link you provided. – Dec 21 '16 at 10:44
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@A.Chattopadhyay read the answers. For example, the top answer: An example: the family of all finite subsets of a given infinite set – Ben Grossmann Dec 21 '16 at 11:14
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But @Omnomnomnom is this family finite? – Dec 21 '16 at 11:53
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@A.Chattopadhyay Sorry, I kept missing the word "finite" somehow. If you read Martin's answer, you'll see that every finite boolean ring is unital, so there are no finite examples. – Ben Grossmann Dec 21 '16 at 11:57
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1Since the linked question addresses all the questions here, closing as dupe – rschwieb Dec 21 '16 at 12:01