I know that every semi algebra is a semi ring but is the converse true?
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@DietrichBurde, Yes, thank you. Can this example also be used to show that not every ring is a algebra. – user3741635 Oct 30 '21 at 08:45
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Another example is the family of finite subsets of an infinite set, it is also a ring which is not an algebra. – Conifold Oct 30 '21 at 08:47
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@Conifold, sorry to bother you. Do you have any example that answers my question. https://math.stackexchange.com/questions/4291052/is-there-a-non-probability-example-of-a-lambda-system-that-is-not-a-sigma-alge ? – user3911153 Oct 30 '21 at 09:26